Kerr black hole thermodynamical fluctuations

Astronomy and Astrophysics – Astronomy

Scientific paper

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Black Holes (Astronomy), Einstein Equations, Fluctuation Theory, Kerr Effects, Thermodynamic Equilibrium, Angular Momentum, Corotation, Correlation, Entropy, Flux Density

Scientific paper

The near-equilibrium thermodynamical (TD) fluctuations of a massive rotating uncharged Kerr black hole immersed in a uniformly corotating radiation bath at its temperature are investigated theoretically, generalizing Schwarzschild-black-hole analysis of Pavon and Rubi(1983), based on Einstein fluctuation theory. The correlations for the energy and angular moment fluctuations and the second moments of the other TD parameters are obtained, and the generalized second law of black-hole TD and the Bekenstein (1975) interpretation of black-hole entropy are seen as functioning well in this case. A local-stability criterion and relation for TD equilibrium between the Kerr hole and its own radiation in the flat-space-time limit are derived, and a restriction between C and Lambda is deduced.

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