Entropy Change of Non-Spinning Black Holes w.r.t. the Radius of Event Horizon in AGN


In this research paper, we have used the formula for the change in entropy of Non-spinning black holes with respect to the change in the radius of event horizon (Mahto et al. 2012) and entropy of black holes (Hawking 1973 & Mahto et al. 2012) to calculate their values in Active Galactic Nuclei (AGN) which shows that the variation of change in entropy of black holes with respect to the radius of the event horizon/entropy of black holes with increasing the values of the radius of the event horizon of different test Non-spinning black holes are like a wave-pattern.

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D. Mahto, M. Nadeem, U. Prasad, A. Kumar and K. Singh, "Entropy Change of Non-Spinning Black Holes w.r.t. the Radius of Event Horizon in AGN," Journal of Modern Physics, Vol. 4 No. 3, 2013, pp. 321-326. doi: 10.4236/jmp.2013.43043.

Conflicts of Interest

The authors declare no conflicts of interest.


[1] A. Dabholkar, “Black Hole Entropy in String the Ory—A Window in to the Quantum Structure of Gravity,” Current Science, Vol. 89, No. 12, 2005.
[2] S. W. Hawking, “A Brief History of Time,” Bantam Books, New York, 1998.
[3] J. Transchen, “An Introduction to Black Hole Evaporation,” 2000. arXiv:gr-qc/0010055V1
[4] R. M. Wald, “The Thermodynamics of Black Hole,” 1999. arXiv:gr-qc\9912119v2[gr-qc]
[5] J. D. Bekenstein, “Bekenstein-Hawking Entropy,” Scholarpedia, Vol. 3, No. 10, 2008, p. 7375.
[6] A. Strominger and C. Vafa, “Microscopic Origin of the Bekenstin-Hawking Entropy,” Physics Letters B, Vol. 379, No. 1-4, 1996, pp. 99-104. doi:10.1016/0370-2693(96)00345-0
[7] S. Carlips, “Black Hole Thermodynamics and Statistical mechanics,” Vol. 769, 2009, p. 89. doi:10.1007/978-3-540-88460-6
[8] D. Mahto, K. Kumari, R. K. Sah and K. M. Singh, “Study of Non-Spinning Black Holes with Reference to the Change in Energy and Entropy,” Astrophysics and Space Science, Vol. 337, No. 2, 2012, pp. 685-691. doi:10.1007/s10509-011-0883-7
[9] D. Mahto, V. Prakash, U. Prasad, B. K.Singh and K. M. Singh, “Change in Entropy of Non-Spinning Black Holes w.r.t. the Radius of Event Horizon in XRBs,” Astrophysics and Space Science, Vol. 343, No. 1, 2012, pp. 153-159. doi:10.1007/s10509-012-1219-y
[10] S. W. Hawking, “Black Hole Explosions,” Nature, Vol. 248, 1974, pp. 30-31. doi:10.1038/248030a0
[11] K. Schwarzschild, “Uber das Gravitationsfeld eines Massenpunktes nach der Einsteinschen Theorie,” Sitzungsberichte der Deutschen Akademie der Wissenschaften zu Berlin, Klasse fur Mathematik, Physik, und Technik, 1916, p. 189.
[12] R. Ruffini and J. A.Wheeler, “Introducing the Black Hole,” Physics Today, Vol. 24, No. 12, 1971, p. 30. doi:10.1063/1.3022513
[13] R. M. Wald, “The Thermodynamics of Black Holes,” Living Reviews in Relativity, Vol. 4, 2001, p. 6.
[14] R. Narayan, “Black Holes in Astrophysics,” 2005. arXiv:gr-qc/0506078v1
[15] G. Madejski, “Black Holes in Active Galactic Nuclei,” SLAC-PUB-9702, 2003.
[16] L. Ferrarese and H. Ford, “Super Massive Black Holes in Galactic Nuclei: Past Present & Future Research,” Space Science Reviews, Vol. 116, No. 3-4, 2005, pp. 523-624. doi:10.1007/s11214-005-3947-6
[17] A. M. Ghez, et al., “The First Measurement of Spectral Lines in a Short-Period Star Bound to the Galaxy’s Central Black Hole: A Paradox of Youth,” The Astrophysical Journal, Vol. 586, No. 2, 2003, p. L127. doi:10.1086/374804
[18] W. L. W. Sargent, et al., “Dynamical Evidence for a Central Mass Concentration in the Galaxy M87,” The Astrophysical Journal, Vol. 221, 1978, p. 731. doi:10.1086/156077
[19] L. Greenhill, et al., “The Discovery of H2O Maser Emission in Seven Active Galactic Nuclei and at High Velocities in the Circinus Galaxy,” The Astrophysical Journal, Vol. 582, 2003, p. L11. doi:10.1086/367602
[20] L. Ferrarese, H. C. Ford and W. Jaffe, “Evidence for a Massive Black Hole in the Active Galaxy NGC 4261 from Hubble Space Telescope Images and Spectra,” The Astrophysical Journal, Vol. 470, 1996, p. 444. doi:10.1086/177876
[21] R. D. Blandford, “Recent Results on Active Galactic Nuclei,” Astrophysics and Space Science, Vol. 261, No. 1-4, 1999, pp. 245-252. doi:10.1023/A:1002093710287

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