Contributions à l’aspect thermodynamique des trous noirs rotatifs

Abstract

This thesis is devoted to the study of the thermodynamic aspect of rotating black holes. In particular, we are interested in four-dimensional black holes in the presence of a field called quintessence considered as a dark energy candidate. To understand its influence, we examin analytically the radiation spectrum as well as the thermal aspect of charged and rotating solutions. By determining the associated thermodynamic quantities, we show that this energy contribution hebaves as a cooling system. This study is extended by analyzing the critical behavior of neutral and rotating black holes in Anti de-Sitter space-time. Concretely, we explore the Hawking-Page transition of certain models characterized by specific values of the state parameter describing the dark energy. We end this work by investigating the critical behaviors of the Kerr-Sen black holes in four dimensional embeeded in heteroticsuperstring theories. By using the Ehrenfest scheme, we show that this solution undergoes a second order phase transition. Proposing a new form of the geothermodynamics metric derived from the Gibss free energy, the presence of such transitions is confimed by computing the associated scalar curvature. Finnaly, we explore the critical exponents matching perfectly with the mean field theory.