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Charged black holes in a rotating Gross–Perry–Sorkin monopole background

Shinya Tomizawa1 and Akihiro Ishibashi1,2

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We present a new class of stationary charged black hole solutions to five-dimensional Einstein–Maxwell–Chern–Simons theories. We construct the solutions by utilizing so-called the squashing transformation. At infinity, our solutions behave as a four-dimensional flat spacetime plus a 'circle' and hence describe a Kaluza–Klein black hole. More precisely, our solutions can be viewed as a charged rotating black hole in a rotating Gross–Perry–Sorkin monopole background with the black hole rotation induced from the background rotation.


PACS

04.70.-s Physics of black holes

04.40.Nr Einstein-Maxwell spacetimes, spacetimes with fluids, radiation or classical fields

04.50.-h Higher-dimensional gravity and other theories of gravity

MSC

83C57 Black holes

83E15 Kaluza-Klein and other higher-dimensional theories

83C22 Einstein-Maxwell equations

Subjects

Gravitation and cosmology

Dates

Issue 24 (21 December 2008)

Received 21 July 2008

Published 27 November 2008



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