2003/02/28 by Roberto Casadio
Physics and Astronomy · #Anomaly (physics) #Black Holes and Theoretical Physics #Black brane #Black hole (networking) #Black hole information paradox #Brane #Context (archaeology) #Cosmology and Gravitation Theories #Entropy (arrow of time) #Extremal black hole #Gravitational wave #Hawking radiation #Micro black hole #Noncommutative and Quantum Gravity Theories #Physics #Quantum electrodynamics #Quantum mechanics #Theoretical physics #astro-ph #gr-qc #hep-th
paper · pdf · doi:10.1103/physrevd.69.084025
published as Phys.Rev. D69 (2004) 084025 · 11 pages, 2 figures, a few comments and references added, accepted for publication in Phys. Rev. D
arxiv created 2004/02/09 · openalex publication_date 2004/04/29 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
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.