Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2003-02-21
Phys.Rev. D69 (2004) 084025
Physics
High Energy Physics
High Energy Physics - Theory
11 pages, 2 figures, a few comments and references added, accepted for publication in Phys. Rev. D
Scientific paper
10.1103/PhysRevD.69.084025
The holographic principle relates (classical) gravitational waves in the bulk to quantum fluctuations and the Weyl anomaly of a conformal field theory on the boundary (the brane). One can thus argue that linear perturbations in the bulk of static black holes located on the brane be related to the Hawking flux and that (brane-world) black holes are therefore unstable. We try to gain some information on such instability from established knowledge of the Hawking radiation on the brane. In this context, the well-known trace anomaly is used as a measure of both the validity of the holographic picture and of the instability for several proposed static brane metrics. In light of the above analysis, we finally consider a time-dependent metric as the (approximate) representation of the late stage of evaporating black holes which is characterized by decreasing Hawking temperature, in qualitative agreement with what is required by energy conservation.
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