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

2008/10/31 by Rong-Gen Cai, Li-Ming Cao, Ya-Peng Hu +1 · 8 citations
Physics and Astronomy · #Apparent horizon #Black Holes and Theoretical Physics #Classical mechanics #Cosmology and Gravitation Theories #Einstein #Entropy (arrow of time) #Event horizon #Gravitation #Horizon #Linearized gravity #Mathematical physics #Noncommutative and Quantum Gravity Theories #Physics #Quantum mechanics #Spacetime #Theoretical physics #Thermodynamics #gr-qc #hep-th

paper · pdf · doi:10.1103/physrevd.78.124012

published as Phys.Rev.D78:124012,2008 · v3: comments and references added, some type errors corrected. Revtex4, 22 pages, no figure. to appear in Phys. Rev. D

arxiv created 2008/12/08 · openalex publication_date 2008/12/17 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

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.

Citations

• Nonlinear Models in2+εDimensions
• Unified first law and the thermodynamics of the apparent horizon in the FRW universe
• Inflation from superstring and M-theory compactification with higher order corrections
• Five-dimensional rotating black holes in Einstein–Gauss–Bonnet theory
• No Hawking–Page phase transition in three dimensions
• Unified first law of black-hole dynamics and relativistic thermodynamics
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• Conformal null infinity does not exist for radiating solutions in odd spacetime dimensions
• The Large Scale Structure of Space-Time
• First law of thermodynamics and Friedmann-like equations in braneworld cosmology
• NUT-charged black holes in Gauss-Bonnet gravity
• Friedmann Equations and Thermodynamics of Apparent Horizons
• Thermodynamics of Spacetime: The Einstein Equation of State
• Superstring modifications of Einstein's equations
• Deep connection between thermodynamics and gravity in Gauss-Bonnet braneworlds
• The Thermodynamics of Black Holes
• Thermodynamics of asymptotically flat charged black holes in third order Lovelock gravity
• Asymptotically flat radiating solutions in third order Lovelock gravity
• Dynamic black-hole entropy
• Thermodynamic and gravitational instability on hyperbolic spaces
• Generalized Misner-Sharp quasilocal mass in Einstein-Gauss-Bonnet gravity
• Slowly rotating charged Gauss-Bonnet black holes in AdS spaces

Cited by

• Surrounded Vaidya solution by cosmological fields
• THERMODYNAMICS OF EVOLVING LORENTZIAN WORMHOLES AT APPARENT HORIZON IN f(R) THEORY OF GRAVITY
• Misner-Sharp mass and the unified first law in massive gravity
• Friedmann equations from entropic force
• Bouncing universe from a modified dispersion relation
• Quasilocal mass in scalar–tensor gravity: spherical symmetry
• Turnaround radius in scalar-tensor gravity with quasilocal mass
• Quasilocal mass and multipole expansion in scalar-tensor gravity