Dilaton gravity approach to three dimensional Lifshitz black hole

Details Dilaton gravity approach to three dimensional Lifshitz black hole Dilaton gravity approach to three dimensional Lifshitz black hole

2009-10-23

arxiv.org/abs/0910.4428v3

Eur.Phys.J.C70:335-340,2010

Physics

High Energy Physics

High Energy Physics - Theory

13 pages, 1 figure, version to appear in EPJC

Scientific paper

10.1140/epjc/s10052-010-1460-x

The z=3 Lifshitz black hole is an exact black hole solution to the new massive gravity in three dimensions. In order to understand this black hole clearly, we perform a dimensional reduction to two dimensional dilaton gravity by utilizing the circular symmetry. Considering the linear dilaton, we find the same Lifshitz black hole in two dimensions. This implies that all thermodynamic quantities of the z=3 Lifshitz black hole could be obtained from its corresponding black hole in two dimensions. As a result, we derive the temperature, mass, heat capacity, Bekesnstein-Hawking entropy, and free energy.

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