Classification of 4d Black Hole Solutions to Einstein-maxwell Theory with Cosmological Constant

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Esmaeili, Erfan | 2015

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Type of Document: M.Sc. Thesis
Language: Farsi
Document No: 48252 (04)
University: Sharif University of Technology
Department: Physics
Advisor(s): Sheikh Jabbari, Mohammad Mahdi; Bahmanabadi, Mahmoud
Abstract:
We discuss and classify all four dimensional black hole solutions to Einstein-Maxwell-Lambda theory. These solutions contain a black hole region with an event horizon. The cosmological constant can be nonzero and the black hole may possess electric and magnetic charge. We classify solutions according to their asymptotic behavior. Three major parts are asymptotic-flat, asymptotic-de Sitter and asymptotic-Anti-de Sitter and in all of them we discuss Schwarzschild, Reissner-Nordstrom, Kerr and Kerr-Newman black holes separately. Black holes can also have NUT charge and acceleration parameter which make the solution singular in one direction. As a result, these solutions are asymptotically “locally” flat, de Sitter or Anti-de Sitter. In each chapter, geometry, causal structure, thermodynamics and geodesics of the black hole has been discussed. Most of the solutions are subclasses of general Plebansky-Demiansky solution. We have included all 4D black hole solutions to Einstein- Maxwell-Lambda theory that have been constructed by now. These include black holes with unusual horizon topology-topological black holes
Keywords:
Geodesic Stretch ; Cosmological Constant ; Einstein Metrics ; Black Holles ; Event Horizon ; Einsten-Maxwell Theory ; Black Holes Mechanics