1992/03/31 by Matt Visser · 1 citation
Physics and Astronomy · #hep-th
paper · pdf · doi:10.1103/physrevd.46.2445
published as Phys.Rev.D46:2445-2451,1992 · [minor revisions] 22 pages, RevTeX
arxiv created 1992/06/23 · arxiv updated 2011/07/19
Considerable interest has recently been expressed in (static spherically symmetric) blackholes in interaction with various classical matter fields (such as electromagnetic fields, dilaton fields, axion fields, Abelian Higgs fields, non--Abelian gauge fields, \sl etc). A common feature of these investigations that has not previously been remarked upon is that the Hawking temperature of such systems appears to be suppressed relative to that of a vacuum blackhole of equal horizon area. That is: k TH ≤ ℏ/(4πrH) ≡ ℏ/√(4πAH). This paper will argue that this suppression is generic. Specifically, it will be shown that k TH = ℏ\over4πrH e-ϕ(rH) ( 1 - 8πG ρH rH2 ). Here ϕ(rH) is an integral quantity, depending on the distribution of matter, that is guaranteed to be positive if the Weak Energy Condition is satisfied. Several examples of this behaviour will be discussed. Generalizations of this behaviour to non--symmetric non--static blackholes are conjectured.