2009/09/30 by Rong-Gen Cai, Yan Liu, Ya-Wen Sun · 16 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Noncommutative and Quantum Gravity Theories #hep-th
paper · pdf · doi:10.1088/1126-6708/2009/10/080
published as JHEP 0910:080,2009 · 11 pages, no figure; v2, a minor error corrected
openalex publication_date 2009/10/27 · arxiv created 2010/04/23 · arxiv updated 2010/04/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
We consider a higher derivative gravity theory in four dimensions with a negative cosmological constant and show that vacuum solutions of both Lifshitz type and Schrödinger type with arbitrary dynamical exponent z exist in this system. Then we find an analytic black hole solution which asymptotes to the vacuum Lifshitz solution with z=3/2 at a specific value of the coupling constant. We analyze the thermodynamic behavior of this black hole and find that the black hole has zero entropy while non-zero temperature, which is very similar to the case of BTZ black holes in new massive gravity at a specific coupling. In addition, we find that the three dimensional Lifshitz black hole recently found by E. Ayon-Beato et al. has a negative entropy and mass when the Newton constant is taken to be positive.