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Black holes in Gödel-type universes with a cosmological constant

Klaus Behrndt1 and Dietmar Klemm2

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We discuss supersymmetric black holes embedded in a Gödel-type universe with cosmological constant in five dimensions. The spacetime is a fibration over a four-dimensional Kähler base manifold, and generically has closed timelike curves. Asymptotically the space approaches a deformation of AdS5, which suggests that the appearance of closed timelike curves should have an interpretation in some deformation of D=4, {\cal N}=4 super-Yang–Mills theory. Finally, a Gödel–de Sitter universe is also presented and its causal structure is discussed.


PACS

04.70.-s Physics of black holes

11.30.Pb Supersymmetry

98.80.Es Observational cosmology (including Hubble constant, distance scale, cosmological constant, early Universe, etc)

04.20.Jb Exact solutions

04.65.+e Supergravity

MSC

83C57 Black holes

83E50 Supergravity

83F05 Cosmology

83C15 Exact solutions

Subjects

Gravitation and cosmology

Particle physics and field theory

Astrophysics and astroparticles

Dates

Issue 17 (7 September 2004)

Received 24 February 2004

Published 10 August 2004



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