Dilaton gravity approach to three-dimensional Lifshitz black hole
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, Bekenstein-Hawking entropy, and free energy.
European Physical Journal C
- Pub Date:
- November 2010
- High Energy Physics - Theory;
- General Relativity and Quantum Cosmology
- 13 pages, 1 figure, version to appear in EPJC