Microcanonical distribution for black hole with allowance for nonadditivity

Details Microcanonical distribution for black hole with allowance for nonadditivity Microcanonical distribution for black hole with allowance for nonadditivity

2010-02-09

arxiv.org/abs/1002.1926v2

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

7 pages, no figures; references corrected; abstract improved

Scientific paper

It is shown that with allowance for nonadditivity the (canonical) distribution for a black hole transforms to a (microcanonical) distribution which depends on nonadditive integrals of the motion and represents a nonlinear function of energy - the square of black hole mass. From a comparison with the standard microcanonical distribution it is found that the statistical weight of black hole should be proportional to the black hole area. A definition of the black hole entropy consistent with the statistical weight is proposed.

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