Lifshitz black holes in Brans-Dicke theory

HIDEKI MAEDA; GASTON GIRIBET

JOURNAL OF HIGH ENERGY PHYSICS

SPRINGER

Año: 2011 vol. 11 p. 15 - 36

1126-6708

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