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General Relativity and Quantum Cosmology

arXiv:0711.3131 (gr-qc)
[Submitted on 20 Nov 2007 (v1), last revised 21 Dec 2007 (this version, v3)]

Title:Kolmogorov-Sinai and Bekenstein-Hawking entropies

Authors:K. Ropotenko
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Abstract: It is shown that instability of stringy matter near the event horizon of a black hole (the spreading effect) can be characterized by the Lyapunov exponents. The Kolmogorov-Sinai entropy is the sum of all the positive Lyapunov exponents and equals to the inverse gravitational radius. Due to a replacement of the configuration space of a string by its phase space at distance of order of the string scale, the relation between the Kolmogorov-Sinai and Bekenstein-Hawking entropies is established. The KS entropy of a black hole measures the rate at which information about the state of a string collapsing into the black hole is lost with time as it spreads over the horizon.
Comments: 8 pages, no figures; factors in Eqns. (12), (21) corrected; structure of the paper improved; main results and conclusions unchanged
Subjects: General Relativity and Quantum Cosmology (gr-qc)
Cite as: arXiv:0711.3131 [gr-qc]
  (or arXiv:0711.3131v3 [gr-qc] for this version)
  https://doi.org/10.48550/arXiv.0711.3131

Submission history

From: Kostyantyn Ropotenko [view email]
[v1] Tue, 20 Nov 2007 13:07:10 UTC (7 KB)
[v2] Tue, 11 Dec 2007 08:27:09 UTC (7 KB)
[v3] Fri, 21 Dec 2007 13:37:41 UTC (7 KB)
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