Scientific Research

An Academic Publisher

Change in Energy of Non-Spinning Black Holes w.r.t. the Change in Mass

**Author(s)**Leave a comment

The present work discusses the derivation of the formula for the change in energy of non-spinning black holes with respect to the change in mass (d*E*/d*M*), which gives a constant quantity equal to 8.9998 x 10^{16 }Joule/kg in both categories of X-ray binaries (XRBs) and Active Galactic Nuclei (AGN). This formula can be used to justify the life time of black hole given by Γ = 2.098(*M*/*M*_{ο})^{3 }x 10^{67 }years as proposed by Stephen Hawking, where *M* and *M*_{ο} are the mass of the black hole and the sun respectively. The authors also calculate the change in energy and mass of non-spinning black holes with respect to the change in the radius of event horizon as well as (d*E*/d*M*) for different test non-spinning black holes in X-ray binaries (XRBs) and Active Galactic Nuclei (AGN).

KEYWORDS

Conflicts of Interest

The authors declare no conflicts of interest.

Cite this paper

*International Journal of Astronomy and Astrophysics*, Vol. 3 No. 1, 2013, pp. 49-56. doi: 10.4236/ijaa.2013.31006.

[1] | R. Narayan, “Black Holes in Astrophysics,” New Journal of Physics, Vol. 7, No. 1, 2005, pp. 1-31. |

[2] | R. M. Wald, “The Thermodynamics of Black Holes. Living Reviews in Relativity,” 2001. |

[3] | S. W. Hawking, “A Black Hole Explosion?” Nature, Vol. 248, 1974, pp. 30-31. http://www.nature. com/nature/journal/v248/n5443/abs/248030a0.html |

[4] | C. Rose, “A Conversation with Dr. Stephen Hawking and Lucy Hawking.” http://www.charlie rose.com/guest/view/6294 |

[5] | K. Kumari, D. Mahto, G. Chandra, R. K. Sah and K. M. Singh, “Study of Schwarzschild’s Radius with Reference to the Non-Spinning Black Holes,” Bulletin of Pure and Applied Sciences, Vol. 29D, No. 2, 2010, pp. 183-187. |

[6] | D. Mahto, K. Kumari, R. K. Sah and V. Prakash, “Study of Schwarzschild’s Radius with Reference to the Spinning Black Holes,” Bulletin of Pure and Applied Sciences, Vol. 30D, No. 1, 2011, pp. 157-162. |

[7] | 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, 2011, pp. 685-691. doi:10.1007/s10509-011-0883-7 |

[8] | A. Dabholkar, “Black Hole Entropy in String Theory. A Window in to the Quantum Structure of Gravity,” Current Science, Vol. 89, No. 12, 2005, p. 25. |

[9] | P. G. Bergmann, “Introduction to the Theory of Relativity,” Prentice-Hall of India, New Delhi, 1969. |

[10] | J. D. Bekenstein, “Bekenstein-Hawking Entropy,” Scholarpedia, Vol. 3 No. 10, 2008, p. 7375 |

[11] | D. Mahto, V. Prakash, 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, 2013, pp. 153-159. doi:10.1007/s10509-012-1219-y |

[12] | J. Transchen, “An Introduction to Black Hole Evaporation,” 2000. |

Copyright © 2020 by authors and Scientific Research Publishing Inc.

This work and the related PDF file are licensed under a Creative Commons Attribution 4.0 International License.