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The entropy increase during the black hole formation

Published online by Cambridge University Press:  01 August 2006

Tetsuya Hara ,
Keita Sakai ,
Shuhei Kunitomo  and
Daigo Kajiura
Tetsuya Hara
Affiliation:
Department of Physics, Kyoto Sangyo University, Kyoto, 603-8555, Japan, email: hara@cc.kyoto-su.ac.japan
Keita Sakai
Affiliation:
Department of Physics, Kyoto Sangyo University, Kyoto, 603-8555, Japan, email: hara@cc.kyoto-su.ac.japan
Shuhei Kunitomo
Affiliation:
Department of Physics, Kyoto Sangyo University, Kyoto, 603-8555, Japan, email: hara@cc.kyoto-su.ac.japan
Daigo Kajiura
Affiliation:
Department of Physics, Kyoto Sangyo University, Kyoto, 603-8555, Japan, email: hara@cc.kyoto-su.ac.japan
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Abstract

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The entropy increases enormously when a star collapses into a black hole. For the radiation dominated star, the temperature has decreased from the almost gravitational equilibrium one to the so-called black hole temperature. If we interpret this temperature decrease as the volume increase of the black hole, the entropy increase could be understood as the free expansion of radiation throughthe increased volume. The expected volume size is tentatively estimated. Under this interpretation, it is derived that the entropy is proportional to the horizon surface area and the microscopic states of the black hole entropy could be understood as the statistical states of the enlarged phase space.

Keywords

Uncertainty principle – black hole entropy – entropy increase
Type
Contributed Papers
Information
Proceedings of the International Astronomical Union , Volume 2 , Symposium S238: Black Holes from Stars to Galaxies – Across the Range of Masses , August 2006 , pp. 377 - 378
Copyright
Copyright © International Astronomical Union 2007

References

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