Black holes without mass and entropy in Lovelock gravity

Journal Article · Fri Jan 15 04:00:00 EST 2010 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.81.024018· OSTI ID:21409082

Ronggen, Cai ^[1]; Liming, Cao; Ohta, Nobuyoshi ^[2]

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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)

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.

• OSTI ID: 21409082
• Journal Information: Physical Review. D, Particles Fields, Journal Name: Physical Review. D, Particles Fields Journal Issue: 2 Vol. 81; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
79 ASTRONOMY AND ASTROPHYSICS
BLACK HOLES
CROSS SECTIONS
ENTROPY
GRAVITATION
MASS
MATHEMATICAL SOLUTIONS
PHYSICAL PROPERTIES
THERMODYNAMIC PROPERTIES
THERMODYNAMICS
TWO-DIMENSIONAL CALCULATIONS