1994/11/30 by Carlos O. Lousto, C.O. Lousto
Physics and Astronomy · #Black Holes and Theoretical Physics #Black hole (networking) #Black hole thermodynamics #Energy spectrum #Entropy (arrow of time) #Hawking radiation #Noncommutative and Quantum Gravity Theories #Quantization (signal processing) #Quantum #Quantum Electrodynamics and Casimir Effect #Quantum fluctuation #astro-ph #gr-qc #hep-th
paper · pdf · doi:10.1016/0370-2693(95)00536-t
published as Physics Letters B352 (1995) 228-234 · 13 pages, RevTEX. Paper rewritten; energy levels and entropy recomputed
arxiv created 1995/04/25 · openalex publication_date 1995/06/01 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
We study first order fluctuations of a relativistic membrane in the curved background of a black hole. The zeroth-order solution corresponds to a spherical membrane tightly covering the event horizon. We obtain a massive Klein-Gordon equation for the fluctuations of the membrane's radial coordinate on the 2+1 dimensional world-volume. We finally suggest that quantization of the fluctuations can be related to black hole's mass quantization and the corresponding entropy is computed. This entropy is proportional to the membrane area and is related to the one-loop correction to the thermodynamical entropy AH/4. With regards to the membrane model for describing effectively a quantum black hole, we connect these results with previous work on critical phenomena in black hole thermodynamics.