Dilaton gravity approach to threedimensional Lifshitz black hole
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 twodimensional 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, BekensteinHawking entropy, and free energy.
 Publication:

European Physical Journal C
 Pub Date:
 November 2010
 DOI:
 10.1140/epjc/s100520101460x
 arXiv:
 arXiv:0910.4428
 Bibcode:
 2010EPJC...70..335M
 Keywords:

 High Energy Physics  Theory;
 General Relativity and Quantum Cosmology
 EPrint:
 13 pages, 1 figure, version to appear in EPJC