Dilaton gravity approach to three dimensional Lifshitz black hole
High Energy Physics - Theory
2011-02-09 v3 General Relativity and Quantum Cosmology
Abstract
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.
Cite
@article{arxiv.0910.4428,
title = {Dilaton gravity approach to three dimensional Lifshitz black hole},
author = {Yun Soo Myung and Yong-Wan Kim and Young-Jai Park},
journal= {arXiv preprint arXiv:0910.4428},
year = {2011}
}
Comments
13 pages, 1 figure, version to appear in EPJC