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Title: Black holes without mass and entropy in Lovelock gravity

Abstract

We present a class of new black hole solutions in D-dimensional 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 Gauss-Bonnet 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 (m-2)-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:
 [1]; ;  [2]
  1. Key Laboratory of Frontiers in Theoretical Physics, Institute of Theoretical Physics, Chinese Academy of Sciences, P.O. Box 2735, Beijing 100190 (China)
  2. Department of Physics, Kinki University, Higashi-Osaka, Osaka 577-8502 (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 0556-2821
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; TWO-DIMENSIONAL CALCULATIONS; PHYSICAL PROPERTIES; THERMODYNAMIC PROPERTIES

Citation Formats

Ronggen, Cai, Department of Physics, Kinki University, Higashi-Osaka, Osaka 577-8502, 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, Higashi-Osaka, Osaka 577-8502, 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, Higashi-Osaka, Osaka 577-8502, 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, Higashi-Osaka, Osaka 577-8502 and Liming, Cao and Ohta, Nobuyoshi},
abstractNote = {We present a class of new black hole solutions in D-dimensional 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 Gauss-Bonnet 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 (m-2)-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 = {0556-2821},
number = 2,
volume = 81,
place = {United States},
year = {2010},
month = {1}
}