The string spectrum on the horizon of a non-extremal black hole |
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| Institution: | 1. Department of History and Philosophy of Science, University of Cambridge, Free School Lane, Cambridge CB2 3RH, United Kingdom;2. Amsterdam University College, University of Amsterdam, Science Park 113, 1090 GD Amsterdam, Netherlands;1. Institute for Theoretical Physics, University of Amsterdam, the Netherlands;2. Vossius Center for the History of Humanities and Sciences, University of Amsterdam, the Netherlands;3. Trinity College, Cambridge, United Kingdom;4. Department of History and Philosophy of Science, University of Cambridge, United Kingdom;5. Black Hole Initiative, Harvard University, United States |
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| Abstract: | We investigate the conformal string σ-model corresponding to a general five-dimensional non-extremal black hole solution. In the horizon region the theory reduces to an exactly solvable conformal field theory. We determine the modular invariant spectrum of physical string states, which expresses the Rindler momentum operator in terms of three charges and string oscillators. For black holes with winding and Kaluza-Klein charges, we find that states made with only right-moving excitations have ADM mass equal to the black hole ADM mass, and thus they can be used as sources of the gravitational field. A discussion on statistical entropy is included. |
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