Gravitational collapse and entropy of Black Holes with magnetic sources

Abstract

This thesis is divided in two parts, each one addressing problems that can be relevant in the study of compact objects. The first part deals with the study of a magnetized and self-gravitating gas of degenerated fermions (electrons and neutrons) as sources of a Bianchi-I space-time. We solve numerically the Einstein-Maxwell field equations for a large set of initial conditions of the dynamical variables. The collapsing singularity is isotropic for the neutron gas and can be anisotropic for the electron gas. This result is consistent with the fact that electrons exhibit a stronger coupling with the magnetic field, which is the source of anisotropy in the dynamical variables. In the second part we calculate the entropy of extremal black holes in 4 and 5 dimensions, using the entropy function formalism of Sen and taking into account higher order derivative terms that come from the complete set of Riemann invariants. The resulting entropies show the deviations from the well know Bekenstein-Hawking area law.

The PhD thesis is written in Spanish, 102 pages, 9 figures and JHEP style

References in corpus (13)

• Near-horizon symmetries of extremal black holes
• Equation of State of a Dense and Magnetized Fermion System
• Cosmology with inhomogeneous magnetic fields
• CHL Dyons and Statistical Entropy Function from D1-D5 System
• Extremal vacuum black holes in higher dimensions
• Vacuum energy in Einstein-Gauss-Bonnet AdS gravity
• Dyon Spectrum in N=4 Supersymmetric Type II String Theories
• Dynamics of a magnetized Bianchi I universe with vacuum energy
• R^4 Corrections to D1D5p Black Hole Entropy from Entropy Function Formalism
• Transport equations and linear response of superfluid Fermi mixtures in neutron stars
• Entropy of quantum-corrected black holes
• Local dynamics and gravitational collapse of a self-gravitating magnetized Fermi gas
• Dynamics of a self--gravitating magnetized source