29 research outputs found
Entropy and temperatures of Nariai black hole
The statistical entropy of the Nariai black hole in a thermal equilibrium is
calculated by using the brick-wall method. Even if the temperature depends on
the choice of the time-like Killing vector, the entropy can be written by the
ordinary area law which agrees with the Wald entropy. We discuss some physical
consequences of this result and the properties of the temperatures.Comment: 12 pages, no figur
Proper temperature of Schwarzschild AdS black hole revisited
The Unruh temperature calculated from the global embedding of the
Schwarzschild AdS spacetime into Minkowski spacetime was identified with the
local temperature measured by a free-fall observer; however, it would be
imaginary in a certain region outside the event horizon. So, the temperature
was assumed to be zero of no thermal radiation for that region. In this paper,
we revisit this issue in the exactly soluble two-dimensional Schwarzschild AdS
black hole and present an alternative resolution to this problem by using the
Tolman's procedure. However, the process is not straightforward in the sense
that one should extend the original procedure to rest upon the traceless
energy-momentum tensor in such a way that it could encompass the case of the
non-vanishing trace of energy-momentum tensor in the presence of the trace
anomaly. Consequently, we show that the free-fall temperature turns out to be
real everywhere outside the event horizon without any imaginary value, in
particular, it vanishes both at the horizon and at the asymptotic infinity.Comment: 12 pages, 1 figure, version published in PL