Three dimensional origin of Godel spacetimes and black holes
Maximo Banados, Glenn Barnich, Geoffrey Compere, Andres Gomberoff
TL;DR
This paper constructs Godel-type black hole and particle solutions in 2+1 dimensions within Einstein-Maxwell theory, analyzing their properties, thermodynamics, and relation to the original Godel universe.
Contribution
It introduces new Godel-type solutions with black holes in 2+1 dimensions, incorporating a Chern-Simons term and analyzing their physical and thermodynamic properties.
Findings
Electromagnetic stress-energy replaces the cosmological constant effectively.
A specific solution relates to the original Godel universe.
Conserved charges and thermodynamics are computed for these solutions.
Abstract
We construct Godel-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 Godel universe and analyze the solutions from the point of view of identifications. Finally, we compute the conserved charges and work out the thermodynamics.
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