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arXiv · 1507.02682

Finite Upper Bound for the Hawking Decay Time of an Arbitrarily Large Black Hole in Anti-de Sitter Spacetime

Don N. Page
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Abstract

In an asymptotically flat spacetime of dimension d > 3 and with the Newtonian gravitational constant G, a spherical black hole of initial horizon radius r_h and mass M ~ r_h^{d-3}/G has a total decay time to Hawking emission of t_d ~ r_h^{d-1}/G ~ G^{2/(d-3)}M^{(d-1)/(d-3)} which grows without bound as the radius r_h and mass M are taken to infinity. However, in asymptotically anti-de Sitter spacetime with a length scale l and with absorbing boundary conditions at infinity, the total Hawking decay time does not diverge as the mass and radius go to infinity but instead remains bounded by a time of the order of l^{d-1}/G.

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Don N. Page. 2015-07-09. Finite Upper Bound for the Hawking Decay Time of an Arbitrarily Large Black Hole in Anti-de Sitter Spacetime. https://doi.org/10.1103/physrevd.97.024004

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