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arXiv · 1105.1331

Lifshitz black holes in Brans-Dicke theory

Hideki Maeda·Gaston Giribet
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Abstract

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 $0<z \le 2(n-2)/(n-3)$. We compute the Hawking temperature of the black hole solution and discuss the problems encountered and the proposals in defining its thermodynamic properties. A generalized solution charged under the Maxwell field is also presented.

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Hideki Maeda, Gaston Giribet. 2011-05-06. Lifshitz black holes in Brans-Dicke theory. https://doi.org/10.1007/jhep11(2011)015

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