Termodin\'amica de agujeros negros y campos escalares

TL;DR

This thesis explores how scalar fields affect black hole thermodynamics in four dimensions, analyzing their role in the first law and examining the stability of specific hairy black hole solutions with scalar potentials.

Contribution

It provides a detailed analysis of scalar field influence on black hole thermodynamics and demonstrates the thermodynamic stability of certain hairy black hole solutions within supergravity.

Findings

Scalar fields modify the first law of black hole thermodynamics.

Stable hairy black hole solutions with scalar fields are identified.

The quasilocal formalism effectively captures thermodynamic properties.

Abstract

Since the descovery by Stephen Hawking that black holes emit radiation in the context of the semiclassical approach to gravity, the black hole thermodynamics has become an active field of research in theoretical physics. In this thesis, the influence of scalar fields on the black hole thermodynamics in $D=4$ dimensions is studied. On one hand, the role played by scalar fields in the first law of black hole thermodynamics is elucidated, by using the quasilocal formalism of Brown and York, which is based on a correct variational principle, and some concrete examples are provided. On the other, the thermodynamic stability of asymptotically flat charged hairy black hole exact solutions is analysed. The solutions considered have a non-trivial scalar field potential and they can be embebbed in supergravity theories. It is explicitly shown that these solutions contain thermodynamically stable black holes.