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Statistical Entropy of Black Hole without Truncation Factor

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Abstract

The scatting probability of scalar particles near the event horizon is obtained by solving Klein-Gordon equation in curved space-time. By considering the reaction of a black hole radiation in space-time background, we find that Hawking radiation is not a strictly pure thermal-spectrum and scatting probability is related to the B-H entropy change of black hole. The statistical entropy of black hole is calculated based on the relations between entropy and thermodynamic probability of a macroscopic state in statistical equilibrium. The results show that the statistical entropy of black hole without using any truncation factor is proportional to the area of event horizon.

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Acknowledgments

This work is supported by the National Natural Science Foundation of China under Grant No. 11575270 and Natural Science Foundation of Shandong Province under Grant No. ZR2011AM020

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Authors and Affiliations

  1. Department of Physics and Electronic Engineering, Heze University, Heze, 274015, China

    Ji-Jian Jiang, Yu-Shan Li, Jing-Lun Liu & Chuan-An Li

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  1. Ji-Jian Jiang
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  2. Yu-Shan Li
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  3. Jing-Lun Liu
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Correspondence to Chuan-An Li.

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Jiang, JJ., Li, YS., Liu, JL. et al. Statistical Entropy of Black Hole without Truncation Factor. Int J Theor Phys 56, 2161–2166 (2017). https://doi.org/10.1007/s10773-017-3361-3

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  • DOI: https://doi.org/10.1007/s10773-017-3361-3

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