Finite upper bound for the Hawking decay time of an arbitrarily large black hole in anti-de Sitter spacetime.

In an asymptotically flat spacetime of dimension d>3 and with the Newtonian gravitational constant G, a spherical black hole of initial horizon radius rh and mass M∼rhd-3/G has a total decay time to Hawking emission of td∼rhd-1/G∼G2/(d-3)M(d-1)/(d-3) which grows without bound as the radius rh 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 ℓd-1/G. [ABSTRACT FROM AUTHOR]