Generalized Vaidya spacetime in Lovelock gravity and thermodynamics on the apparent horizon
By R. Cai, Li-Ming Cao, Yapeng Hu, Sang Pyo Kim. 2008
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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.
Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics, Statistical and Nonlinear Physics
View Paper: https://www.semanticscholar.org/paper/95afca8b3b0f52672b8a322eaa82cd66072c9ec2
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Citations in the corpus
- Holographic Lovelock gravities and black holes (2009, background): “The entropy density of black branes in Lovelock theories of gravity has been discussed in [25]–[ 26 ] (see also [45–47]–[48] where the holographic renormalization procedure is employed).”
- Friedmann Equations from Entropic Force (2010, methodology): “This observation was then extended to the cases of stationary axisymmetric horizons and evolving spherically symmetric horizons in Einstein gravity [12], static spherically symmetric horizons [13] and dynamical apparent horizons [14] in Lovelock gravity, and three dimensional BTZ black hole horizons”