Lifshitz black holes in Brans-Dicke theory

Details Lifshitz black holes in Brans-Dicke theory Lifshitz black holes in Brans-Dicke theory

2011-05-06

arxiv.org/abs/1105.1331v4

JHEP 11 (2011) 15

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

32 pages, no figure. v2: revised version. Section 3.1 and Appendix B improved. The argument in Appendix A clarified. v3: Refer

Scientific paper

We present an exact asymptotically Lifshitz black hole solution in Brans-Dicke theory of gravity in arbitrary $n(\ge 3)$ dimensions in presence of a power-law potential. In this solution, the dynamical exponent $z$ is determined in terms of the Brans-Dicke parameter $\omega$ and $n$. Asymptotic Lifshitz condition at infinity requires $z>1$, which corresponds to $-(n-1)/(n-2) \le \omega < -n/(n-1)$. On the other hand, the no-ghost condition for the scalar field in the Einstein frame requires $0

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