Static spherically symmetric solutions to modified Horava-Lifshitz gravity with a projectability condition

Journal Article · Mon Feb 15 04:00:00 EST 2010 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.81.043515· OSTI ID:21409269

Jinzhang, Tang; Bin, Chen ^[1]

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1. Department of Physics, and State Key Laboratory of Nuclear Physics and Technology, Peking University, Beijing 100871 (China)

In this paper we seek static spherically symmetric solutions of Horava-Lifshitz-like gravity with the projectability condition. We consider the most general form of gravity action without detailed balance, and require the spacetime metric to respect the projectability condition. We find that for any value of {lambda}, the solutions of topology RxM{sub 3} may exist, where R is the time direction and M{sub 3} is a three-dimensional maximally symmetric space depending on the value of cosmological constant and the potential of the action. Besides, in the UV region where {lambda}{ne}1, we find Minkowski or de Sitter spacetime as the solution, while in the IR region where {lambda}=1, we prove that (dS-)Schwarzschild solution is the only nontrivial solution. We also notice that the other static spherically symmetric solutions found in the literature do not satisfy the projectability condition and are not the solutions we get. Our study shows that in Horava-Lifshitz gravity with the projectability condition, there is no novel correction to Einstein's general relativity in solar system tests.

• OSTI ID: 21409269
• Journal Information: Physical Review. D, Particles Fields, Journal Name: Physical Review. D, Particles Fields Journal Issue: 4 Vol. 81; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

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