Kostyantyn Ropotenko 2008 Class. Quantum Grav. 25 195005 doi:10.1088/0264-9381/25/19/195005
Kostyantyn Ropotenko
Show affiliationsIt is shown that stringy matter near the event horizon of a Schwarzschild black hole exhibits chaotic behavior (the spreading effect) which can be characterized by the Kolmogorov–Sinai entropy. It is found that the Kolmogorov–Sinai entropy of a spreading string equals the half of the inverse gravitational radius of the black hole. The Kolmogorov–Sinai entropy of a spreading string 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. A possible relation between the Kolmogorov–Sinai and Bekenstein–Hawking entropies is discussed.
04.70.Dy Quantum aspects of black holes, evaporation, thermodynamics
05.45.-a Nonlinear dynamics and nonlinear dynamical systems
04.50.-h Higher-dimensional gravity and other theories of gravity
83C05 Einstein's equations (general structure, canonical formalism, Cauchy problems)
70K55 Transition to stochasticity (chaotic behavior) (See also 37D45)
Issue 19 (7 October 2008)
Received 20 December 2007, in final form 3 July 2008
Published 11 September 2008
Kostyantyn Ropotenko 2008 Class. Quantum Grav. 25 195005
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