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Title: Black holes in five dimensions with R x U(1)^2 isometry
Authors: CHEN YU
Keywords: General Relativity, Space-times, Exact Solutions, Black Holes, Gravitational Instantons, Five Dimensions
Issue Date: 10-Aug-2010
Citation: CHEN YU (2010-08-10). Black holes in five dimensions with R x U(1)^2 isometry. ScholarBank@NUS Repository.
Abstract: Higher-dimensional black holes have been the subject of intensive study in the last decade. In this thesis, we systematically study the simplest possible class of higher-dimensional black holes, i.e., vacuum black holes in five dimensions with R?U(1)^2 isometry, with a focus on the problem of their classification and construction. More specifically, we first develop a stronger version of the rod-structure formalism to analyze and classify these solutions. In the asymptotically flat case, we then construct a new class of black holes, the so-called black lenses. We then classify the spatial backgrounds of five-dimensional black holes with R?U(1)^2 isometry, which we find are actually gravitational instantons with U(1)?U(1) isometry. And further, we classify and construct black holes on such gravitational instantons. Finally, we show that black holes on Taub-NUT are equivalent to Kaluza-Klein black holes, if the latter are appropriately lifted to five dimensions.
Appears in Collections:Ph.D Theses (Open)

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