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Towards the Cardy formula for hyperscaling violation black holes · Around

2015

Towards the Cardy formula for hyperscaling violation black holes

Bravo-Gaete, Moises, Gomez, Sebastian, Hassaine, Mokhtar

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The aim of this paper is to propose a generalized Cardy formula in the case of three-dimensional hyperscaling violation black holes.

We first note that for the hyperscaling violation metrics, the scaling of the entropy in term of the temperature (defined as the effective spatial dimensionality divided by the dynamical exponent) depends explicitly on the gravity theory.
Starting from this observation, we first explore the case of quadratic curvature gravity theory for which we derive four classes of asymptotically hyperscaling violation black holes.
For each solution, we compute their masses as well as those of their soliton counterparts obtained through a double Wick rotation.

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