3.10 Tesis doctorado

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Black holes in scale-dependent frameworks.
(2019) Rincón, Ángel; Koch, Benjamin; Pontificia Universidad Católica de Chile. Facultad de Física
In the present thesis, we investigate the scale–dependence of some well known black hole solutions in 2+1 dimensions at the level of the effective action in the presence of a cosmological constant or an electrical source. We promote the classical parameters of the theory, {G0,(· · ·)0}, to scale–dependent couplings, {Gk,(· · ·)k} and then we solve the corresponding effective Einstein field equations. To close the system of equations we impose the null energy condition. This last condition (valid in arbitrary dimension) provides a differential equation which, after solving it, allows to obtain in a simple way the specific form of the gravitational coupling. Furthermore, perfect-fluid like parameters are induced via the scale-dependent gravitational coupling. Finally, to exemplify the effect of the running of the couplings on the properties of the scale-dependent black hole solutions, we show a few concrete examples.In the present thesis, we investigate the scale–dependence of some well known black hole solutions in 2+1 dimensions at the level of the effective action in the presence of a cosmological constant or an electrical source. We promote the classical parameters of the theory, {G0,(· · ·)0}, to scale–dependent couplings, {Gk,(· · ·)k} and then we solve the corresponding effective Einstein field equations. To close the system of equations we impose the null energy condition. This last condition (valid in arbitrary dimension) provides a differential equation which, after solving it, allows to obtain in a simple way the specific form of the gravitational coupling. Furthermore, perfect-fluid like parameters are induced via the scale-dependent gravitational coupling. Finally, to exemplify the effect of the running of the couplings on the properties of the scale-dependent black hole solutions, we show a few concrete examples.In the present thesis, we investigate the scale–dependence of some well known black hole solutions in 2+1 dimensions at the level of the effective action in the presence of a cosmological constant or an electrical source. We promote the classical parameters of the theory, {G0,(· · ·)0}, to scale–dependent couplings, {Gk,(· · ·)k} and then we solve the corresponding effective Einstein field equations. To close the system of equations we impose the null energy condition. This last condition (valid in arbitrary dimension) provides a differential equation which, after solving it, allows to obtain in a simple way the specific form of the gravitational coupling. Furthermore, perfect-fluid like parameters are induced via the scale-dependent gravitational coupling. Finally, to exemplify the effect of the running of the couplings on the properties of the scale-dependent black hole solutions, we show a few concrete examples.In the present thesis, we investigate the scale–dependence of some well known black hole solutions in 2+1 dimensions at the level of the effective action in the presence of a cosmological constant or an electrical source. We promote the classical parameters of the theory, {G0,(· · ·)0}, to scale–dependent couplings, {Gk,(· · ·)k} and then we solve the corresponding effective Einstein field equations. To close the system of equations we impose the null energy condition. This last condition (valid in arbitrary dimension) provides a differential equation which, after solving it, allows to obtain in a simple way the specific form of the gravitational coupling. Furthermore, perfect-fluid like parameters are induced via the scale-dependent gravitational coupling. Finally, to exemplify the effect of the running of the couplings on the properties of the scale-dependent black hole solutions, we show a few concrete examples.
On the effects of the modification of the metric in the gravitational context
(2020) Rubio, Carlos; Alfaro Solís, Jorge Luis; Pontificia Universidad Católica de Chile. Instituto de Física
This thesis consists of two parts: In the first one, simple generic extensions of isotropic Durgapal–Fuloria stars to the anisotropic domain were presented. These anisotropic solutions were obtained by guided minimal deformations over the isotropic system. When the anisotropic sector interacts in a purely gravitational manner, the conditions to decouple both sectors, by means of the minimal geometric deformation approach, were satisfied. Hence, the anisotropic field equations were isolated resulting in a more treatable set of equations. The simplicity of the equations allows one to manipulate the anisotropies that can be implemented in a systematic way to obtain different realistic models for anisotropic configurations. Later on, the observational effects of such anisotropies when measuring the surface redshift were discussed. To conclude, the consistency of the application of the method over the obtained anisotropic configurations was shown. In this manner, different anisotropic sectors can be isolated from each other and modeled in a simple and systematic way. About 70% of the Universe is Dark Energy, but there is still no consensus in the physics community on what the nature of it is. Delta Gravity (DG) is an alternative theory of gravitation that could solve this cosmological problem. DG is able to explain the SNe data successfully. In this work, we explored the cosmological fluctuations that give rise to the CMB through a hydrodynamic approximation. We calculated the gauge transformations for the metric and the perfect fluid to present the equations of the evolution of cosmological fluctuations, providing the necessary equations to solve, in a semi-analytical way, the scalar TT Power Spectrum. These equations were useful for comparing the DG theory with astronomical observations and thus, being able to restrict the DG cosmology, testing the compatibility with the CMB Planck data, which are currently in contradiction with SNe data.This thesis consists of two parts: In the first one, simple generic extensions of isotropic Durgapal–Fuloria stars to the anisotropic domain were presented. These anisotropic solutions were obtained by guided minimal deformations over the isotropic system. When the anisotropic sector interacts in a purely gravitational manner, the conditions to decouple both sectors, by means of the minimal geometric deformation approach, were satisfied. Hence, the anisotropic field equations were isolated resulting in a more treatable set of equations. The simplicity of the equations allows one to manipulate the anisotropies that can be implemented in a systematic way to obtain different realistic models for anisotropic configurations. Later on, the observational effects of such anisotropies when measuring the surface redshift were discussed. To conclude, the consistency of the application of the method over the obtained anisotropic configurations was shown. In this manner, different anisotropic sectors can be isolated from each other and modeled in a simple and systematic way. About 70% of the Universe is Dark Energy, but there is still no consensus in the physics community on what the nature of it is. Delta Gravity (DG) is an alternative theory of gravitation that could solve this cosmological problem. DG is able to explain the SNe data successfully. In this work, we explored the cosmological fluctuations that give rise to the CMB through a hydrodynamic approximation. We calculated the gauge transformations for the metric and the perfect fluid to present the equations of the evolution of cosmological fluctuations, providing the necessary equations to solve, in a semi-analytical way, the scalar TT Power Spectrum. These equations were useful for comparing the DG theory with astronomical observations and thus, being able to restrict the DG cosmology, testing the compatibility with the CMB Planck data, which are currently in contradiction with SNe data.This thesis consists of two parts: In the first one, simple generic extensions of isotropic Durgapal–Fuloria stars to the anisotropic domain were presented. These anisotropic solutions were obtained by guided minimal deformations over the isotropic system. When the anisotropic sector interacts in a purely gravitational manner, the conditions to decouple both sectors, by means of the minimal geometric deformation approach, were satisfied. Hence, the anisotropic field equations were isolated resulting in a more treatable set of equations. The simplicity of the equations allows one to manipulate the anisotropies that can be implemented in a systematic way to obtain different realistic models for anisotropic configurations. Later on, the observational effects of such anisotropies when measuring the surface redshift were discussed. To conclude, the consistency of the application of the method over the obtained anisotropic configurations was shown. In this manner, different anisotropic sectors can be isolated from each other and modeled in a simple and systematic way. About 70% of the Universe is Dark Energy, but there is still no consensus in the physics community on what the nature of it is. Delta Gravity (DG) is an alternative theory of gravitation that could solve this cosmological problem. DG is able to explain the SNe data successfully. In this work, we explored the cosmological fluctuations that give rise to the CMB through a hydrodynamic approximation. We calculated the gauge transformations for the metric and the perfect fluid to present the equations of the evolution of cosmological fluctuations, providing the necessary equations to solve, in a semi-analytical way, the scalar TT Power Spectrum. These equations were useful for comparing the DG theory with astronomical observations and thus, being able to restrict the DG cosmology, testing the compatibility with the CMB Planck data, which are currently in contradiction with SNe data.This thesis consists of two parts: In the first one, simple generic extensions of isotropic Durgapal–Fuloria stars to the anisotropic domain were presented. These anisotropic solutions were obtained by guided minimal deformations over the isotropic system. When the anisotropic sector interacts in a purely gravitational manner, the conditions to decouple both sectors, by means of the minimal geometric deformation approach, were satisfied. Hence, the anisotropic field equations were isolated resulting in a more treatable set of equations. The simplicity of the equations allows one to manipulate the anisotropies that can be implemented in a systematic way to obtain different realistic models for anisotropic configurations. Later on, the observational effects of such anisotropies when measuring the surface redshift were discussed. To conclude, the consistency of the application of the method over the obtained anisotropic configurations was shown. In this manner, different anisotropic sectors can be isolated from each other and modeled in a simple and systematic way. About 70% of the Universe is Dark Energy, but there is still no consensus in the physics community on what the nature of it is. Delta Gravity (DG) is an alternative theory of gravitation that could solve this cosmological problem. DG is able to explain the SNe data successfully. In this work, we explored the cosmological fluctuations that give rise to the CMB through a hydrodynamic approximation. We calculated the gauge transformations for the metric and the perfect fluid to present the equations of the evolution of cosmological fluctuations, providing the necessary equations to solve, in a semi-analytical way, the scalar TT Power Spectrum. These equations were useful for comparing the DG theory with astronomical observations and thus, being able to restrict the DG cosmology, testing the compatibility with the CMB Planck data, which are currently in contradiction with SNe data.This thesis consists of two parts: In the first one, simple generic extensions of isotropic Durgapal–Fuloria stars to the anisotropic domain were presented. These anisotropic solutions were obtained by guided minimal deformations over the isotropic system. When the anisotropic sector interacts in a purely gravitational manner, the conditions to decouple both sectors, by means of the minimal geometric deformation approach, were satisfied. Hence, the anisotropic field equations were isolated resulting in a more treatable set of equations. The simplicity of the equations allows one to manipulate the anisotropies that can be implemented in a systematic way to obtain different realistic models for anisotropic configurations. Later on, the observational effects of such anisotropies when measuring the surface redshift were discussed. To conclude, the consistency of the application of the method over the obtained anisotropic configurations was shown. In this manner, different anisotropic sectors can be isolated from each other and modeled in a simple and systematic way. About 70% of the Universe is Dark Energy, but there is still no consensus in the physics community on what the nature of it is. Delta Gravity (DG) is an alternative theory of gravitation that could solve this cosmological problem. DG is able to explain the SNe data successfully. In this work, we explored the cosmological fluctuations that give rise to the CMB through a hydrodynamic approximation. We calculated the gauge transformations for the metric and the perfect fluid to present the equations of the evolution of cosmological fluctuations, providing the necessary equations to solve, in a semi-analytical way, the scalar TT Power Spectrum. These equations were useful for comparing the DG theory with astronomical observations and thus, being able to restrict the DG cosmology, testing the compatibility with the CMB Planck data, which are currently in contradiction with SNe data.This thesis consists of two parts: In the first one, simple generic extensions of isotropic Durgapal–Fuloria stars to the anisotropic domain were presented. These anisotropic solutions were obtained by guided minimal deformations over the isotropic system. When the anisotropic sector interacts in a purely gravitational manner, the conditions to decouple both sectors, by means of the minimal geometric deformation approach, were satisfied. Hence, the anisotropic field equations were isolated resulting in a more treatable set of equations. The simplicity of the equations allows one to manipulate the anisotropies that can be implemented in a systematic way to obtain different realistic models for anisotropic configurations. Later on, the observational effects of such anisotropies when measuring the surface redshift were discussed. To conclude, the consistency of the application of the method over the obtained anisotropic configurations was shown. In this manner, different anisotropic sectors can be isolated from each other and modeled in a simple and systematic way. About 70% of the Universe is Dark Energy, but there is still no consensus in the physics community on what the nature of it is. Delta Gravity (DG) is an alternative theory of gravitation that could solve this cosmological problem. DG is able to explain the SNe data successfully. In this work, we explored the cosmological fluctuations that give rise to the CMB through a hydrodynamic approximation. We calculated the gauge transformations for the metric and the perfect fluid to present the equations of the evolution of cosmological fluctuations, providing the necessary equations to solve, in a semi-analytical way, the scalar TT Power Spectrum. These equations were useful for comparing the DG theory with astronomical observations and thus, being able to restrict the DG cosmology, testing the compatibility with the CMB Planck data, which are currently in contradiction with SNe data.This thesis consists of two parts: In the first one, simple generic extensions of isotropic Durgapal–Fuloria stars to the anisotropic domain were presented. These anisotropic solutions were obtained by guided minimal deformations over the isotropic system. When the anisotropic sector interacts in a purely gravitational manner, the conditions to decouple both sectors, by means of the minimal geometric deformation approach, were satisfied. Hence, the anisotropic field equations were isolated resulting in a more treatable set of equations. The simplicity of the equations allows one to manipulate the anisotropies that can be implemented in a systematic way to obtain different realistic models for anisotropic configurations. Later on, the observational effects of such anisotropies when measuring the surface redshift were discussed. To conclude, the consistency of the application of the method over the obtained anisotropic configurations was shown. In this manner, different anisotropic sectors can be isolated from each other and modeled in a simple and systematic way. About 70% of the Universe is Dark Energy, but there is still no consensus in the physics community on what the nature of it is. Delta Gravity (DG) is an alternative theory of gravitation that could solve this cosmological problem. DG is able to explain the SNe data successfully. In this work, we explored the cosmological fluctuations that give rise to the CMB through a hydrodynamic approximation. We calculated the gauge transformations for the metric and the perfect fluid to present the equations of the evolution of cosmological fluctuations, providing the necessary equations to solve, in a semi-analytical way, the scalar TT Power Spectrum. These equations were useful for comparing the DG theory with astronomical observations and thus, being able to restrict the DG cosmology, testing the compatibility with the CMB Planck data, which are currently in contradiction with SNe data.This thesis consists of two parts: In the first one, simple generic extensions of isotropic Durgapal–Fuloria stars to the anisotropic domain were presented. These anisotropic solutions were obtained by guided minimal deformations over the isotropic system. When the anisotropic sector interacts in a purely gravitational manner, the conditions to decouple both sectors, by means of the minimal geometric deformation approach, were satisfied. Hence, the anisotropic field equations were isolated resulting in a more treatable set of equations. The simplicity of the equations allows one to manipulate the anisotropies that can be implemented in a systematic way to obtain different realistic models for anisotropic configurations. Later on, the observational effects of such anisotropies when measuring the surface redshift were discussed. To conclude, the consistency of the application of the method over the obtained anisotropic configurations was shown. In this manner, different anisotropic sectors can be isolated from each other and modeled in a simple and systematic way. About 70% of the Universe is Dark Energy, but there is still no consensus in the physics community on what the nature of it is. Delta Gravity (DG) is an alternative theory of gravitation that could solve this cosmological problem. DG is able to explain the SNe data successfully. In this work, we explored the cosmological fluctuations that give rise to the CMB through a hydrodynamic approximation. We calculated the gauge transformations for the metric and the perfect fluid to present the equations of the evolution of cosmological fluctuations, providing the necessary equations to solve, in a semi-analytical way, the scalar TT Power Spectrum. These equations were useful for comparing the DG theory with astronomical observations and thus, being able to restrict the DG cosmology, testing the compatibility with the CMB Planck data, which are currently in contradiction with SNe data.This thesis consists of two parts: In the first one, simple generic extensions of isotropic Durgapal–Fuloria stars to the anisotropic domain were presented. These anisotropic solutions were obtained by guided minimal deformations over the isotropic system. When the anisotropic sector interacts in a purely gravitational manner, the conditions to decouple both sectors, by means of the minimal geometric deformation approach, were satisfied. Hence, the anisotropic field equations were isolated resulting in a more treatable set of equations. The simplicity of the equations allows one to manipulate the anisotropies that can be implemented in a systematic way to obtain different realistic models for anisotropic configurations. Later on, the observational effects of such anisotropies when measuring the surface redshift were discussed. To conclude, the consistency of the application of the method over the obtained anisotropic configurations was shown. In this manner, different anisotropic sectors can be isolated from each other and modeled in a simple and systematic way. About 70% of the Universe is Dark Energy, but there is still no consensus in the physics community on what the nature of it is. Delta Gravity (DG) is an alternative theory of gravitation that could solve this cosmological problem. DG is able to explain the SNe data successfully. In this work, we explored the cosmological fluctuations that give rise to the CMB through a hydrodynamic approximation. We calculated the gauge transformations for the metric and the perfect fluid to present the equations of the evolution of cosmological fluctuations, providing the necessary equations to solve, in a semi-analytical way, the scalar TT Power Spectrum. These equations were useful for comparing the DG theory with astronomical observations and thus, being able to restrict the DG cosmology, testing the compatibility with the CMB Planck data, which are currently in contradiction with SNe data.This thesis consists of two parts: In the first one, simple generic extensions of isotropic Durgapal–Fuloria stars to the anisotropic domain were presented. These anisotropic solutions were obtained by guided minimal deformations over the isotropic system. When the anisotropic sector interacts in a purely gravitational manner, the conditions to decouple both sectors, by means of the minimal geometric deformation approach, were satisfied. Hence, the anisotropic field equations were isolated resulting in a more treatable set of equations. The simplicity of the equations allows one to manipulate the anisotropies that can be implemented in a systematic way to obtain different realistic models for anisotropic configurations. Later on, the observational effects of such anisotropies when measuring the surface redshift were discussed. To conclude, the consistency of the application of the method over the obtained anisotropic configurations was shown. In this manner, different anisotropic sectors can be isolated from each other and modeled in a simple and systematic way. About 70% of the Universe is Dark Energy, but there is still no consensus in the physics community on what the nature of it is. Delta Gravity (DG) is an alternative theory of gravitation that could solve this cosmological problem. DG is able to explain the SNe data successfully. In this work, we explored the cosmological fluctuations that give rise to the CMB through a hydrodynamic approximation. We calculated the gauge transformations for the metric and the perfect fluid to present the equations of the evolution of cosmological fluctuations, providing the necessary equations to solve, in a semi-analytical way, the scalar TT Power Spectrum. These equations were useful for comparing the DG theory with astronomical observations and thus, being able to restrict the DG cosmology, testing the compatibility with the CMB Planck data, which are currently in contradiction with SNe data.

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