The Hawking temperature of expanding cosmological black holes
arXiv:0710.2122 · doi:10.1103/PhysRevD.76.104042
Abstract
In the context of a debate on the correct expression of the Hawking temperature of an expanding cosmological black hole, we show that the correct expression in terms of the Hawking-Hayward quasi-local energy m of the hole is T=1/(8πm(t)). This expression holds for comoving black holes and agrees with a recent proposal by Saida, Harada, and Maeda.
arXiv comment5 latex pages, to appear in Phys. Rev. D. Some references added
References in corpus (22)
- Some Properties of Noether Charge and a Proposal for Dynamical Black Hole Entropy
- Quasilocal Energy and Conserved Charges Derived from the Gravitational Action
- Gravitational Energy in Spherical Symmetry
- A comparison of Noether charge and Euclidean methods for Computing the Entropy of Stationary Black Holes
- Temperature, Energy, and Heat Capacity of Asymptotically Anti-De Sitter Black Holes
- Quasi-Local Gravitational Energy
- Dynamic black-hole entropy
- The (pseudo)issue of the conformal frame revisited
- Quasilocal Thermodynamics of Dilaton Gravity coupled to Gauge Fields
- Cosmological expansion and local physics
- Einstein's equations as a thermodynamic identity: The cases of stationary axisymmetric horizons and evolving spherically symmetric horizons
- Conformal Invariance of Black Hole Temperature
- The first law for slowly evolving horizons
- Inhomogeneous Gravity
- Black Hole Evaporation in an Expanding Universe
- Quasi-local first law of black-hole dynamics
- Reissner-Nordström Metric in the Friedman-Robertson-Walker Universe
- Inequalities relating area, energy, surface gravity and charge of black holes
- Generalized entropy and Noether charge
- Cosmological Evolution of Black Holes in Brans-Dicke Gravity
- Behavior of Quasilocal Mass Under Conformal Transformations
- Gravitational-wave dynamics and black-hole dynamics: second quasi-spherical approximation
Cited by in corpus (31)
- Tunnelling Methods and Hawking's radiation: achievements and prospects
- Fermion Tunneling from Dynamical Horizons
- Does the mass of a black hole decrease due to the accretion of phantom energy
- Hamilton-Jacobi Tunneling Method for Dynamical Horizons in Different Coordinate Gauges
- Making sense of the bizarre behaviour of horizons in the McVittie spacetime
- What is the fate of a black hole embedded in an expanding universe?
- The charged McVittie spacetime
- Are quantization rules for horizon areas universal?
- An analysis of the Sultana-Dyer cosmological black hole solution of the Einstein equations
- Searching for dynamical black holes in various theories of gravity
- Horizon thermodynamics and spacetime mappings
- Hawking-Hayward quasi-local energy under conformal transformations
- Temperature and thermodynamic structure of Einstein's equations for a cosmological black hole
- Thermodynamics of Sultana-Dyer Black Hole
- First law of thermodynamics for dynamical apparent horizons and the entropy of Friedmann universes
- Black hole event horizons are cosmologically coupled
- Conformal Transformation, Near Horizon Symmetry, Virasoro Algebra and Entropy
- Dynamical apparent horizons in inhomogeneous Brans-Dicke universes
- The Hawking-Page-like Phase Transition from FRW Spacetime to McVittie Black Hole
- Bekenstein-Hawking entropy in expanding universes from black hole theorems
- Near horizon hidden symmetry and entropy of Sultana-Dyer black hole: A time dependent case
- Conformally Schwarzschild cosmological black holes
- Cosmological applications of the Brown-York quasilocal mass
- Black hole mechanics and thermodynamics in the light of Weyl transformations
- Tolman-Ehrenfest's criterion of thermal equilibrium extended to conformally static spacetimes
- Dynamic Black Holes in a FRW background: Lemaitre transformations
- Spacetime mappings of the Brown-York quasilocal energy
- D-bound and Bekenstein bound for McVittie solution surrounded by dark energy cosmological fields
- Evolving black hole horizons in General Relativity and alternative gravity
- Cosmological LTB Black Hole in a Quintom Universe
- Spherically symmetric solutions in a FRW background