2000/06/30 by Won Tae Kim, Lev Khaykovich, Florian Schreck +8 · 5 citations
Physics and Astronomy · #Ansatz #Black Holes and Theoretical Physics #Bose–Einstein condensate #Brane #Cold Atom Physics and Bose-Einstein Condensates #Effective action #Fermi Gamma-ray Space Telescope #General relativity #Gravitation #Induced gravity #Mathematical physics #Metric (unit) #Physics #Pulsars and Gravitational Waves Research #Quantum #Quantum electrodynamics #Quantum gravity #Quantum mechanics #Schwarzschild metric #Schwarzschild radius #hep-th
paper · pdf · doi:10.1016/s0921-4526(02)01873-2
published in Physica B Condensed Matter 329-333, 13-16 (Elsevier BV) · 11 pages, revtex, 1 figure, some references are added
arxiv created 2001/02/03 · openalex publication_date 2003/05/01 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
We study brane-world black holes from Randall-Sundrum(RS) models in (D+1)-dimensional anti-de Sitter spacetimes. The solutions are directly obtained by using a slightly modified RS metric ansatz in D+1 dimensions. The metric of the brane world can be described by the Schwarzschild solution promoted to the black cigar solution in D+1 dimensions, which is compatible with the recently suggested black cigar solution for D=4. Furthermore, we show that the Ricci flat condition for the brane can be easily derived from the effective gravity defined on the brane by using the RS dimensional reduction. Especially, it is shown that in two dimensions the effective gravity on the brane is described by the Polyakov action.