#### Date of Award

8-9-2014

#### Document Type

Open Access Thesis

#### First Advisor

Frank Avignone III

#### Abstract

In this masters thesis, we will present the analysis of the solution to the Einstein field equation, known as electrovac universe. In this model, an electric charge is located somewhere in an empty universe. An important result from this scenario, is that there is a functional relation between the electrostatic potential and the metric components, asumming a comformastat metric. On the other hand, the Einstein’s equations implies that the metric function satisfy the Laplace equation. We extended this model considering the Einstein’s equation with cosmological constant, which increased the complexity of the equations. The metric function satisfies now a nonlinear second-order, partial differential equation. We offered solutions to this equation in 1 and 2 dimensions. iv

#### Recommended Citation

Aguirre, N. C.(2014). *On the electrovacuum solutions to the Einstein-Maxwell system in General Relativity.* (Master's thesis). Retrieved from http://scholarcommons.sc.edu/etd/2870