O mecanismo atrator e a função entropia de Sen para buracos negros

• Autor(a) principal: Santos, Prieslei Estefânio Dominik Goulart [UNESP]
• Data de Publicação: 2013
• Tipo de documento: Dissertação
• Idioma: por
• Título da fonte: Repositório Institucional da UNESP
• Texto Completo: http://hdl.handle.net/11449/108885
• topic: Buracos negros (Astronomia); Termodinamica; Entropia; Modelos de corda; Gravidade (Fisica)

In this Master Thesis we study the attracto rmechanism and the entrop yfunction for black holes. After reviewing some aspects of General Relativity and black holes solutions of the Schwarzschild, Reissner-Nordstrom and Kerr-Newmann type, we give a detailed derivation of the zeroth and ?rst of the so-called Laws of Black Hole Thermodynamics. We will also present the second and third laws and discuss the relation between The Laws of Thermodynamics and The Laws of Black Hole Thermodynamics. Then we will present an example of how the so-called attractor phenomena occurs, which makes all the scalar ?elds assume the same value on the black hole event horizon, forcing them to lose all the memory of their initial conditions at the in?nity. Finally, we will present the derivation of the so-called Sen’s entropy function, and we will show its importance concerning the study of scalar ?elds of a black hole for the near horizon geometry, or in other words, for the attractor mechanism. We will show the validity of this formalism through the usual Reissner-Nordstrom solution in 4 dimensions and a theory corresponding to the bosonic part of a low energy supergravity action