# Microcanonical distribution for black hole with allowance for nonadditivity

Source: [Microcanonical distribution for black hole with allowance for nonadditivity](<https://www.sota2.com/research/paper/68fa29101e209131ce830515>)

Collection index: [llms.txt](<https://www.sota2.com/research/llms.txt>)

Data updated: 2025-10-24T12:37:51.564Z

Authors: K. Ropotenko

Published: 2010-02-09T17:45:36.000Z

## Abstract

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.

## Recorded benchmark results

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## Original sources and implementation

[Original paper](<https://arxiv.org/abs/1002.1926>)

[PDF](<https://arxiv.org/pdf/1002.1926.pdf>)