2008
DOI: 10.1088/0264-9381/25/8/085010
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Dynamical surface gravity

Abstract: We discuss how the surface gravity can be classically defined for dynamical black holes. In particular we focus on defining the surface gravity for locally defined horizons and compare a number definitions proposed in the literature. We illustrate the differences between the various proposals in the case of an arbitrary dynamical, spherically symmetric black hole spacetime. We also discuss how the trapping horizon formalism of Hayward can be related to other constructions.

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Cited by 103 publications
(108 citation statements)
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References 19 publications
(64 reference statements)
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“…which agrees with the calculations in [83]. This seems to suggest that it is exactly the pole at r = 2m that is responsible for the tunneling flux through the horizon.…”
Section: Hawking Radiation For Trapping Horizonssupporting
confidence: 90%
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“…which agrees with the calculations in [83]. This seems to suggest that it is exactly the pole at r = 2m that is responsible for the tunneling flux through the horizon.…”
Section: Hawking Radiation For Trapping Horizonssupporting
confidence: 90%
“…The issue of how to define the surface gravity for a non-Killing horizon was examined in [83]. Perhaps the simplest approach is to define the surface gravity as the non-affinity of the null normal to the horizon whose vanishing expansion defines the horizon, l a .…”
Section: The Zeroth Law For Trapping Horizonsmentioning
confidence: 99%
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“…This temperature is also derived by Nielsen and Yeom in [59,60] by using a slightly different approach of PW method for a general time dependent background. At this point we understand that the temperature (18) does not care about the spin of the tunneling particles.…”
Section: Radial Null Geodesic Methodsmentioning
confidence: 89%
“…Conformal invariance of the relevant physics suggests that Hawking radiation should be associated with the conformal Killing horizon, not the trapping horizon (or apparent horizon) even in the Vaidya spacetime, which is a full solution of the Einstein equations with reasonable matter content formulated in the canonical conformal frame. For this static metric in static coordinates, a standard calculation [12] gives the surface gravity as:…”
Section: Static Conformal Vaidyamentioning
confidence: 99%