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Title: Topological black holes in Horava-Lifshitz gravity

Abstract

We find topological (charged) black holes whose horizon has an arbitrary constant scalar curvature 2k in Horava-Lifshitz theory. Without loss of generality, one may take k=1, 0, and -1. The black hole solution is asymptotically anti-de Sitter with a nonstandard asymptotic behavior. Using the Hamiltonian approach, we define a finite mass associated with the solution. We discuss the thermodynamics of the topological black holes and find that the black hole entropy has a logarithmic term in addition to an area term. We find a duality in Hawking temperature between topological black holes in Horava-Lifshitz theory and Einstein's general relativity: the temperature behaviors of black holes with k=1, 0, and -1 in Horava-Lifshitz theory are, respectively, dual to those of topological black holes with k=-1, 0, and 1 in Einstein's general relativity. The topological black holes in Horava-Lifshitz theory are thermodynamically stable.

Authors:
 [1];  [2];  [3]
  1. Key Laboratory of Frontiers in Theoretical Physics, Institute of Theoretical Physics, Chinese Academy of Sciences, P.O. Box 2735, Beijing 100190 (China) and Kavli Institute for Theoretical Physics China (KITPC), Chinese Academy of Sciences, P.O. Box 2735, Beijing 100190 (China)
  2. Asia Pacific Center for Theoretical Physics, Pohang, Gyeongbuk 790-784 (Korea, Republic of)
  3. Department of Physics, Kinki University, Higashi-Osaka, Osaka 577-8502 (Japan)
Publication Date:
OSTI Identifier:
21316226
Resource Type:
Journal Article
Journal Name:
Physical Review. D, Particles Fields
Additional Journal Information:
Journal Volume: 80; Journal Issue: 2; Other Information: DOI: 10.1103/PhysRevD.80.024003; (c) 2009 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 0556-2821
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; 79 ASTROPHYSICS, COSMOLOGY AND ASTRONOMY; ANTI DE SITTER SPACE; ASYMPTOTIC SOLUTIONS; BLACK HOLES; DUALITY; ENTROPY; GENERAL RELATIVITY THEORY; GRAVITATION; HAMILTONIANS; MASS; SIMULATION; THERMODYNAMICS; TOPOLOGY

Citation Formats

Ronggen, Cai, Liming, Cao, and Ohta, Nobuyoshi. Topological black holes in Horava-Lifshitz gravity. United States: N. p., 2009. Web. doi:10.1103/PHYSREVD.80.024003.
Ronggen, Cai, Liming, Cao, & Ohta, Nobuyoshi. Topological black holes in Horava-Lifshitz gravity. United States. https://doi.org/10.1103/PHYSREVD.80.024003
Ronggen, Cai, Liming, Cao, and Ohta, Nobuyoshi. 2009. "Topological black holes in Horava-Lifshitz gravity". United States. https://doi.org/10.1103/PHYSREVD.80.024003.
@article{osti_21316226,
title = {Topological black holes in Horava-Lifshitz gravity},
author = {Ronggen, Cai and Liming, Cao and Ohta, Nobuyoshi},
abstractNote = {We find topological (charged) black holes whose horizon has an arbitrary constant scalar curvature 2k in Horava-Lifshitz theory. Without loss of generality, one may take k=1, 0, and -1. The black hole solution is asymptotically anti-de Sitter with a nonstandard asymptotic behavior. Using the Hamiltonian approach, we define a finite mass associated with the solution. We discuss the thermodynamics of the topological black holes and find that the black hole entropy has a logarithmic term in addition to an area term. We find a duality in Hawking temperature between topological black holes in Horava-Lifshitz theory and Einstein's general relativity: the temperature behaviors of black holes with k=1, 0, and -1 in Horava-Lifshitz theory are, respectively, dual to those of topological black holes with k=-1, 0, and 1 in Einstein's general relativity. The topological black holes in Horava-Lifshitz theory are thermodynamically stable.},
doi = {10.1103/PHYSREVD.80.024003},
url = {https://www.osti.gov/biblio/21316226}, journal = {Physical Review. D, Particles Fields},
issn = {0556-2821},
number = 2,
volume = 80,
place = {United States},
year = {Wed Jul 15 00:00:00 EDT 2009},
month = {Wed Jul 15 00:00:00 EDT 2009}
}