Charged Black Hole Solutions in Alternative Theories of Gravity

Abstract

In my thesis, I examine charged black holes in two contexts. The first part covers the formation of something analogous to event horizons for a class of Lorentz-Violating theories which allow for signals to travel faster than light. In particular, the focus is put on the construction of horizons for the limiting case where the signal travels infinitely fast called a universal horizon. An explicit construction for a metric containing a massive collapsing charged shell is presented followed by an extension into rotating systems using a geometric argument. The latter context is Randall Sundrum model of gravity applied to higher dimensions. The research begins with a general ansatz and restricts parameter space using the equations of motion and junction conditions created by brane on which some charge is trapped. Some examination of the available solutions follows, and an analysis of the entropy relations for large and small black hole solutions concludes the results.