Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2006-06-20
Phys.Rev.D74:084009,2006
Physics
High Energy Physics
High Energy Physics - Theory
Latex, 32 pages
Scientific paper
10.1103/PhysRevD.74.084009
We reformulate the Bekenstein bound as the requirement of positivity of the Helmholtz free energy at the minimum value of the function L=E- S/(2\pi R), where R is some measure of the size of the system. The minimum of L occurs at the temperature T=1/(2\pi R). In the case of n-dimensional anti-de Sitter spacetime, the rather poorly defined size R acquires a precise definition in terms of the AdS radius l, with R=l/(n-2). We previously found that the Bekenstein bound holds for all known black holes in AdS. However, in this paper we show that the Bekenstein bound is not generally valid for free quantum fields in AdS, even if one includes the Casimir energy. Some other aspects of thermodynamics in anti-de Sitter spacetime are briefly touched upon.
Gibbons Gary W.
Perry Malcolm J.
Pope Christopher N.
No associations
LandOfFree
Partition Functions, the Bekenstein Bound and Temperature Inversion in Anti-de Sitter Space and its Conformal Boundary does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Partition Functions, the Bekenstein Bound and Temperature Inversion in Anti-de Sitter Space and its Conformal Boundary, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Partition Functions, the Bekenstein Bound and Temperature Inversion in Anti-de Sitter Space and its Conformal Boundary will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-40151