Applications of semiclassical gravity in black hole physics

Abstract

The work done in this note falls under the regime of semiclassical gravity. Semiclassical gravity involves the description of the way in which classical gravitational fields interacts with matter fields which are quantized. It is in fact a model, which is an attempt for finding a unification between general relativity and quantum mechanics, which is one of the ultimate goals of physics. The prediction of black holes and their characteristic horizons were one of the most incredible contribution of Einstein’s general theory of relativity. But when we analyze their behaviour in the framework of semiclassical gravity, interesting scenarios might come up. For instance, classi cal solutions are no longer solutions and wormholes arise. In this thesis, I calculate the sub-leading terms in the classical black hole solution and check whether the classical solution with subleading terms can be considered as a solution to the semiclassical gravita tional equations. I have checked 1-loop e↵ective action does yield a solution. A numerical approach has been made to look for possible solutions that satisfy the semiclassical equations. Also, a numerical solution for the exact semiclassical equations has been found. I have discussed open questions at the end.