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Phys. Rev. D 73, 044006 (2006) [11 pages]

Three-dimensional origin of Gödel spacetimes and black holes

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Máximo Bañados
Departamento de Física, P. Universidad Católica de Chile, Casilla 306, Santiago 22, Chile

Glenn Barnich and Geoffrey Compère
Physique Théorique et Mathématique, Université Libre de Bruxelles and International Solvay Institutes, Campus Plaine C.P. 231, B-1050 Bruxelles, Belgium

Andrés Gomberoff
Universidad Nacional Andrés Bello, Avenida República 239, Santiago, Chile

Received 30 December 2005; published 7 February 2006

We construct Gödel-type black hole and particle solutions to Einstein-Maxwell theory in 2+1 dimensions with a negative cosmological constant and a Chern-Simons term. On-shell, the electromagnetic stress-energy tensor effectively replaces the cosmological constant by minus the square of the topological mass and produces the stress-energy of a pressure-free perfect fluid. We show how a particular solution is related to the original Gödel universe and analyze the solutions from the point of view of identifications. Finally, we compute the conserved charges and work out the thermodynamics.

© 2006 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevD.73.044006
DOI:
10.1103/PhysRevD.73.044006
PACS:
04.70.−s, 04.40.Nr, 11.30.−j, 12.10.−g