Gravitational Solitons from Topology

Abstract

In General Relativity (GR) the Kerr Black hole is the unique vacuum solution for a given mass and angular momentum. In Supergravity (SUGRA), the low-energy limit of string theory that extends GR, there is another mechanism that can support matter and that is the non-trivial topology of spacetime. Many “black hole microstate geometries” are known that are supported by cohomological fluxes on topological cycles in the geometry. This mechanism has been described recently, in detail, in terms of Komar integrals and a Smarr formula by Gibbons and Warner, in the context of five dimensional SUGRA. In this project I investigate this mechanism thoroughly initially in 4 dimensions and then in 10 dimension in the context of Type IIA superstring theory. Moreover, I extend this idea to asymptotically not-flat AdS spacetime.