Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2007-07-30
Phys.Lett.B657:107-111,2007
Physics
High Energy Physics
High Energy Physics - Theory
added references for section 1, corrected typos, some improvement in notation
Scientific paper
10.1016/j.physletb.2007.10.005
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.
Criscienzo R. di
Nadalini Mario
Vanzo Luciano
Zerbini Sergio
Zoccatelli G.
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