Generalized Vaidya spacetime in Lovelock gravity and thermodynamics on the apparent horizon

Journal Article · Mon Dec 15 00:00:00 EST 2008 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.78.124012· OSTI ID:21251136

Ronggen, Cai ^[1]; Liming, Cao ^[2]; Yapeng, Hu ^[1]; Kim, Sang Pyo ^[3]

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1. Institute of Theoretical Physics, 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, Kunsan National University, Kunsan 573-701 (Korea, Republic of)

We present a kind of generalized Vaidya solutions in a generic Lovelock gravity. This solution generalizes the simple case in Gauss-Bonnet gravity reported recently by some authors. We study the thermodynamics of apparent horizon in this generalized Vaidya spacetime. Treating those terms except for the Einstein tensor as an effective energy-momentum tensor in the gravitational field equations, and using the unified first law in Einstein gravity theory, we obtain an entropy expression for the apparent horizon. We also obtain an energy expression of this spacetime, which coincides with the generalized Misner-Sharp energy proposed by Maeda and Nozawa in Lovelock gravity.

• OSTI ID: 21251136
• Journal Information: Physical Review. D, Particles Fields, Vol. 78, Issue 12; Other Information: DOI: 10.1103/PhysRevD.78.124012; (c) 2008 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
EINSTEIN FIELD EQUATIONS
ENERGY-MOMENTUM TENSOR
ENTROPY
EQUATIONS
GRAVITATION
GRAVITATIONAL FIELDS
MATHEMATICAL SOLUTIONS
SPACE-TIME
THERMODYNAMICS