Volume 4, Issue 1-1, January 2015, Page: 15-18
Classical Statistical Entropy of Black Hole
Dipo Mahto, Department of Physics, Marwari College, T. M. B. U. Bhagalpur, Bhagalpur, India
Ved Prakash, University Department of Statistics & Computer Application, T. M. B. U. Bhagalpur, Bhagalpur, India
Krishna Murari Singh, Department of Physics, Marwari College, T. M. B. U. Bhagalpur, Bhagalpur, India
Brajnandan Kumar, University Department of Statistics & Computer Application, T. M. B. U. Bhagalpur, Bhagalpur, India
Received: Jul. 2, 2014;       Accepted: Dec. 30, 2014;       Published: Feb. 5, 2015
DOI: 10.11648/j.ajtas.s.2015040101.13      View  3128      Downloads  145
The present article derives an expression for classical statistical entropy of black hole using Maxwell- Boltzmann statistics and shows that the classical statistical entropy is directly proportional to the area of event horizon of black hole leading the result as SbhαA(r). No primary and secondary data is used in this paper. We have designed the work similar to the work of Ren Zhao and Shuang-Qi Hu who obtained the quantum statistical entropy corresponding to the black hole horizon using Femi-Dirac & Bose-Einstein statistics. They have also shown that the entropy corresponding to the black hole horizon surface is the entropy of quantum state near the surface of the horizon. It is completely theoretical based work using Laptop done at Marwari College research laboratory and the residential research chamber of first author.
Statistical Entropy, Event Horizon, Black Hole
To cite this article
Dipo Mahto, Ved Prakash, Krishna Murari Singh, Brajnandan Kumar, Classical Statistical Entropy of Black Hole, American Journal of Theoretical and Applied Statistics. Special Issue: Computational Statistics. Vol. 4, No. 1-1, 2015, pp. 15-18. doi: 10.11648/j.ajtas.s.2015040101.13
Gupta S. L. & Kumar V. “Elementary Statistical Mechanics.” Pragati Prakashan, Meerut, ISBN-81-7556-988-3(2007).
Cohen, E. G. D. "Boltzmann and Einstein: Statistics and dynamics—An unsolved problem." Pramana 64.5 (2005): 635-643.‏
Zhao R., Zhang Z. and Zhang S. “Uncertainty relation and black hole entropy of NUT-Kerr Newmann space-time.” Commun. Theoretical Physics (Beijing, China), Doi 10.393/ncb/i2004-10191-9, Vol.120B.1(2005):61-67.
Zhao R., Zhang J. and Zhang L. “Statistical entropy of axial symmetry Einstein-Maxwell-Dilation axion black holes.” Bulgarian Journal of Physics 28.5/6(2001) :200-208.
Hawking S. W. “Particle creation by black hole.” Communication in Mathematical Physics. 43(1975):199-220.
Bekenstein J. D. “Black holes and Entropy.” Phys. Rev. D 7, (1973):2333-2346.
G. W. Gibbons and S. W. Hawking: Cosmological event horizons, thermodynamics and particle creation, Phys. Rev. D 15, (1977): 2738.
Hooft G.’t “On quantum structure of a black hole.” Nucl. Phys. B256, (1985):727-745.
Zhao R. and Shuang-Qi H. “Quantum Statistical Entropy of the 5-Dimensional Stringy Black Hole.” Chinese Journal of Physics, 44.3(2006):172-179.
Zhao R., Wu Y. and Zhang S.(2006): “Quantum Statistical Entropy of Five-Dimensional Black Hole.” Commun. Theoretical Physics(Beijing, China) 45.5(2006):849–852.
Zhao R., Zhang L., Wu Y., and Li H.(2008): “Entropy of Four-Dimensional Spherically Symmetric Black Holes with Planck Length.” Commun. Theoretical Physics (Beijing, China) 50.6(2008):1327–1330.
Strominger, A. “Black hole entropy from near horizon microstates.” J. High Energy Phys. 02(1998):1-10.
Hawking, S. “A Brief History of Time.” Bantam Books, New York. ISBN:0-553-38016-8(1998).
Transchen, J. “An introduction to black hole evaporation.” arXiv: gr-qc/0010055V1(2000):1-32.
Wald, R.M. “The thermodynamics of black hole.” Living Reviews in Relativity ,4(2001):1-42.
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