Black holes without mass and entropy in Lovelock gravity
Abstract
We present a class of new black hole solutions in Ddimensional Lovelock gravity theory. The solutions have a form of direct product M{sup m}xH{sup n}, where D=m+n, H{sup n} is a negative constant curvature space, and the solutions are characterized by two integration constants. When m=3 and 4, these solutions reduce to the exact black hole solutions recently found by Maeda and Dadhich in GaussBonnet gravity theory. We study thermodynamics of these black hole solutions. Although these black holes have a nonvanishing Hawking temperature, surprisingly, the mass of these solutions always vanishes. While the entropy also vanishes when m is odd, it is a constant determined by an Euler characteristic of (m2)dimensional cross section of black hole horizon when m is even. We argue that the constant in the entropy should be thrown away. Namely, when m is even, the entropy of these black holes also should vanish. We discuss the implications of these results.
 Authors:

 Key Laboratory of Frontiers in Theoretical Physics, Institute of Theoretical Physics, Chinese Academy of Sciences, P.O. Box 2735, Beijing 100190 (China)
 Department of Physics, Kinki University, HigashiOsaka, Osaka 5778502 (Japan)
 Publication Date:
 OSTI Identifier:
 21409082
 Resource Type:
 Journal Article
 Journal Name:
 Physical Review. D, Particles Fields
 Additional Journal Information:
 Journal Volume: 81; Journal Issue: 2; Other Information: DOI: 10.1103/PhysRevD.81.024018; (c) 2010 The American Physical Society; Journal ID: ISSN 05562821
 Country of Publication:
 United States
 Language:
 English
 Subject:
 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; 79 ASTROPHYSICS, COSMOLOGY AND ASTRONOMY; BLACK HOLES; CROSS SECTIONS; ENTROPY; GRAVITATION; MASS; MATHEMATICAL SOLUTIONS; THERMODYNAMICS; TWODIMENSIONAL CALCULATIONS; PHYSICAL PROPERTIES; THERMODYNAMIC PROPERTIES
Citation Formats
Ronggen, Cai, Department of Physics, Kinki University, HigashiOsaka, Osaka 5778502, Liming, Cao, and Ohta, Nobuyoshi. Black holes without mass and entropy in Lovelock gravity. United States: N. p., 2010.
Web. doi:10.1103/PHYSREVD.81.024018.
Ronggen, Cai, Department of Physics, Kinki University, HigashiOsaka, Osaka 5778502, Liming, Cao, & Ohta, Nobuyoshi. Black holes without mass and entropy in Lovelock gravity. United States. https://doi.org/10.1103/PHYSREVD.81.024018
Ronggen, Cai, Department of Physics, Kinki University, HigashiOsaka, Osaka 5778502, Liming, Cao, and Ohta, Nobuyoshi. Fri .
"Black holes without mass and entropy in Lovelock gravity". United States. https://doi.org/10.1103/PHYSREVD.81.024018.
@article{osti_21409082,
title = {Black holes without mass and entropy in Lovelock gravity},
author = {Ronggen, Cai and Department of Physics, Kinki University, HigashiOsaka, Osaka 5778502 and Liming, Cao and Ohta, Nobuyoshi},
abstractNote = {We present a class of new black hole solutions in Ddimensional Lovelock gravity theory. The solutions have a form of direct product M{sup m}xH{sup n}, where D=m+n, H{sup n} is a negative constant curvature space, and the solutions are characterized by two integration constants. When m=3 and 4, these solutions reduce to the exact black hole solutions recently found by Maeda and Dadhich in GaussBonnet gravity theory. We study thermodynamics of these black hole solutions. Although these black holes have a nonvanishing Hawking temperature, surprisingly, the mass of these solutions always vanishes. While the entropy also vanishes when m is odd, it is a constant determined by an Euler characteristic of (m2)dimensional cross section of black hole horizon when m is even. We argue that the constant in the entropy should be thrown away. Namely, when m is even, the entropy of these black holes also should vanish. We discuss the implications of these results.},
doi = {10.1103/PHYSREVD.81.024018},
url = {https://www.osti.gov/biblio/21409082},
journal = {Physical Review. D, Particles Fields},
issn = {05562821},
number = 2,
volume = 81,
place = {United States},
year = {2010},
month = {1}
}