The stage joins the show: aspects of perturbed spacetimes

Hussain, Uzair (2017) The stage joins the show: aspects of perturbed spacetimes. Doctoral (PhD) thesis, Memorial University of Newfoundland.

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Abstract

In this thesis we present projects that cover various topics in black hole physics. The central theme of the thesis is perturbation theory of black holes. The techniques developed to study the perturbations of spacetime allows us to explore and elucidate many other topics in gravitational physics. The recent discovery of gravitational waves provides strong evidence for the existence of black hole mergers. Using perturbation theory we study the problem of black hole mergers with an extreme mass ratio in an asymptotically at spacetime, and proceed to demonstrate how the event horizon and the apparent horizon of the larger black hole deform. In this thesis we also study problems concerning perturbation of black holes that are more theoretical in nature. In the context of the uid/gravity duality, we precisely establish the relationship between standard perturbation theory of spherically symmetric black holes i.e., the master equation, with near equilibrium dual uid perturbations on the boundary of asymptotically Anti de Sitter (AdS) black holes. By the use of this relationship and a numerical evolution of the master equation we argue for the existence of non-Newtonian uids in the uid/gravity duality. The last project concerns itself with a generalization of the first law of black hole mechanics to include five dimensional solutions of spacetime called solitons. We verify this law for spacetimes containing solitons.

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