Einstein Maxwell dilaton solution for (2+1) dimensions

Abstract

de Sitter space is a solution of Einstein equation with positive cosmological constant thatmodels the expanding universe. This thesis presents an elementary discussion on de Sitter space-time and its coordinates.The first two chapter describes the Einstein equation and its solution. A brief review of literature is given in the third chapter and work done is presented in next chapter We’ve obtained and analysed an exact solution to Einstein Maxwell Dilaton gravity that contains a scalar field coupled to gravity in minimalway and a potential that depends solely on scalar field. The solution contains a charged black hole with regular horizon. The Komar integrals and various graphs are presented in order to give further insight of the work done. The project assumes familiarity with the basics of general relativity and differential geometry, we’ve tried our level best to present in lucidmanner. This thesis aims to give a detailed explanation of the motivation for the objective of the project, research done, challenges faced, novelty of the program used and the impressive results obtained.