Horizons,Constraints, and Black Hole Entropy |
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Authors: | S Carlip |
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Institution: | (1) Department of Physics, University of California, Davis, CA 95616, USA |
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Abstract: | Black hole entropy appears to be “universal”—many independent calculations, involving models with very different microscopic
degrees of freedom, all yield the same density of states. I discuss the proposal that this universality comes from the behavior
of the underlying symmetries of the classical theory. To impose the condition that a black hole be present, we must partially
break the classical symmetries of general relativity, and the resulting Goldstone-boson-like degrees of freedom may account
for the Bekenstein–Hawking entropy. In particular, I demonstrate that the imposition of a “stretched horizon” constraint modifies
the algebra of symmetries at the horizon, allowing the use of standard conformal field theory techniques to determine the
asymptotic density of states. The results reproduce the Bekenstein–Hawking entropy without any need for detailed assumptions
about the microscopic theory. |
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Keywords: | |
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