2008/08/15 by Kostyantyn Ropotenko · 1 citation
Physics and Astronomy · #Black Holes and Theoretical Physics #Noncommutative and Quantum Gravity Theories #Pulsars and Gravitational Waves Research #gr-qc
paper · pdf · doi:10.1088/0264-9381/25/19/195005
published as Class.Quant.Grav.25:195005,2008 · 10 pages, no figures; this is an extended version of my paper arXiv:0711.3131
arxiv created 2008/08/15 · openalex publication_date 2008/09/11 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/30
It 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.