Journal of Modern Physics

Volume 7, Issue 15 (November 2016)

ISSN Print: 2153-1196   ISSN Online: 2153-120X

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Black Hole Entropy from Entropy of Hawking Radiation

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DOI: 10.4236/jmp.2016.715181    1,566 Downloads   2,448 Views   Citations
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ABSTRACT

We provide a simple way for calculating the entropy of a Schwarzschild black hole from the entropy of its Hawking radiation. To this end, we show that if a thermodynamic system loses its energy only through the black body radiation, its loss of entropy is always 3/4 of the entropy of the emitted radiation. This proposition enables us to relate the entropy of an evaporating black hole to the entropy of its Hawking radiation. Explicitly, by calculating the entropy of the Hawking radiation emitted in the full period of evaporation of the black hole, we find the Bekenstein-Hawking entropy of the initial black hole.

Cite this paper

Aghapour, S. and Hajian, K. (2016) Black Hole Entropy from Entropy of Hawking Radiation. Journal of Modern Physics, 7, 2063-2070. doi: 10.4236/jmp.2016.715181.

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[1] Conserved charges and first law of thermodynamics for Kerr–de Sitter black holes
General Relativity and Gravitation, 2016

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