Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2002-04-17
Physics
High Energy Physics
High Energy Physics - Theory
Based on the invited talk presented at the Indo-Russian International Workshop on Quantum Gravity, Strings and Integrable Mode
Scientific paper
Near-horizon conformal structure of a massive Schwarzschild black hole of mass M is analyzed using a scalar field as a simple probe of the background geometry. The near-horizon dynamics is governed by an operator which is related to the Virasoro algebra and admits a one-parameter family of self-adjoint extensions described by a real parameter z. When z satisfies a suitable contraint, the corresponding wavefunctions exhibit scaling behaviour in a band-like region near the horizon of the black hole. This formalism is consistent with the Bekenstein-Hawking entropy formula and naturally produces the -3/2 log M^2 correction term to the black hole entropy with other subleading corrections exponentially suppressed. This precise form for the black hole entropy is expected on general grounds in any conformal field theoretic description of the problem. The presence of the Virasoro algebra and the scaling properties of the associated wavefunctions in the near-horizon region together with the appearance of the logarithmic correction to the Bekenstein-Hawking entropy provide strong evidence for the near-horizon conformal structure in this system.
No associations
LandOfFree
Near-Horizon Conformal Structure and Entropy of Schwarzschild Black Holes 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 Near-Horizon Conformal Structure and Entropy of Schwarzschild Black Holes, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Near-Horizon Conformal Structure and Entropy of Schwarzschild Black Holes will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-304636