On the Hawking radiation as tunneling for a class of dynamical black holes

Abstract

The instability against emission of massless particles by the trapping horizon of an evolving black hole is analyzed with the use of the Hamilton-Jacobi method. The method automatically selects one special expression for the surface gravity of a changing horizon. Indeed, the strength of the horizon singularity turns out to be governed by the surface gravity as was defined a decade ago by Hayward using Kodama's theory of spherically symmetric gravitational fields. The theory also applies to point masses embedded in an expanding universe, were the surface gravity is still related to Kodama-Hayward theory. As a bonus of the tunneling method, we gain the insight that the surface gravity still defines a temperature parameter as long as the evolution is sufficiently slow that the black hole pass through a sequence of quasi-equilibrium states.

added references for section 1, corrected typos, some improvement in notation

References in corpus (2)

• Fermions, scalars and Randall-Sundrum gravity on domain-wall branes
• Tunneling Effect Near Weakly Isolated Horizon

Cited by in corpus (7)

• Charged Fermions Tunnelling from Kerr-Newman Black Holes
• Fermion Tunneling from Dynamical Horizons
• Dirac particles' tunnelling from black rings
• Does the mass of a black hole decrease due to the accretion of phantom energy
• Thermodynamical properties of hairy black holes in n spacetimes dimensions
• Properties of Black Hole Radiation From Tunnelling
• Some results on dynamical black holes