Generalized Vaidya Spacetime in Lovelock Gravity and Thermodynamics on Apparent Horizon

Details Generalized Vaidya Spacetime in Lovelock Gravity and Thermodynamics on Apparent Horizon Generalized Vaidya Spacetime in Lovelock Gravity and Thermodynamics on Apparent Horizon

2008-10-15

arxiv.org/abs/0810.2610v3

Phys.Rev.D78:124012,2008

Physics

High Energy Physics

High Energy Physics - Theory

v3: comments and references added, some type errors corrected. Revtex4, 22 pages, no figure. to appear in Phys. Rev. D

Scientific paper

10.1103/PhysRevD.78.124012

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.

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