Black string and Goedel-type solutions of Chern-Simons modified gravity

Journal Article · Thu Jul 15 00:00:00 EDT 2010 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.82.024043· OSTI ID:21415235

Ahmedov, Haji; Aliev, Alikram N ^[1]

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1. Feza Guersey Institute, Cengelkoey, 34684 Istanbul (Turkey)

We show that Chern-Simons (CS) modified gravity with a prescribed CS scalar field admits rotating black hole/string/> solutions with cylindrical topology of the horizon, and we present two intriguing physical examples of such configurations. First, we show that the Banados-Teitelboim-Zanelli stationary black string, which is obtained by adding a spacelike flat dimension to the Banados-Teitelboim-Zanelli black hole metric of three-dimensional gravity, solves the field equations of CS modified gravity with a specific source term irrespective of the choice of CS scalar field. Next, we consider the Lemos solution for a rotating, straight black string in general relativity and show that, for the CS scalar field being a function of the radial coordinate alone, this solution persists in CS modified gravity. We also present a new nontrivial (non-general relativity) Goedel-type solution to the vacuum field equations of CS modified gravity.

• OSTI ID: 21415235
• Journal Information: Physical Review. D, Particles Fields, Vol. 82, Issue 2; Other Information: DOI: 10.1103/PhysRevD.82.024043; (c) 2010 The American Physical Society; ISSN 0556-2821
• Country of Publication: United States
• Language: English

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GRAVITATION
MATHEMATICAL SOLUTIONS
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