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Charged rotating Kaluza–Klein black holes generated by G2(2) transformation

Shinya Tomizawa1, Yukinori Yasui2 and Yoshiyuki Morisawa3

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Applying the G2(2) generating technique for minimal D = 5 supergravity to the Rasheed black hole solution, we present a new rotating charged Kaluza–Klein black hole solution to the five-dimensional Einstein–Maxwell–Chern–Simons equations. At infinity, our solution behaves as a four-dimensional flat spacetime with a compact extra dimension and hence describes a Kaluza–Klein black hole. In particular, the extreme solution is non-supersymmetric, which is in contrast to a static case. Our solution has the limits to the asymptotically flat charged rotating black hole solution and a new charged rotating black string solution.


PACS

04.70.Bw Classical black holes

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

04.65.+e Supergravity

04.20.Ha Asymptotic structure

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

MSC

83C30 Asymptotic procedures (radiation, news functions, H-spaces, etc.)

83E50 Supergravity

83C57 Black holes

83E15 Kaluza-Klein and other higher-dimensional theories

83C22 Einstein-Maxwell equations

Subjects

Gravitation and cosmology

Dates

Issue 14 (21 July 2009)

Received 13 February 2009, in final form 12 April 2009

Published 19 June 2009



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