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

Dipo Mahto, Rama Nand Mehta, Neeraj Pant, Raj Kumar Sah

Department of Mathematics, N. D. A., Khadakwasala, Pune, India.
Department of Physics, Marwari College, T. M. B. U., Bhagalpur, India.
Department of Physics, S. S. V. College, Kahalgaon, T. M. B. U., Bhagalpur, India.
University Department of Mathematics, T. M. B. U., Bhagalpur, India.

DOI: 10.4236/ijaa.2013.31006                

Abstract

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 (dE/dM), which gives a constant quantity equal to 8.9998 x 10¹⁶ 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 10⁶⁷ 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 (dE/dM) for different test non-spinning black holes in X-ray binaries (XRBs) and Active Galactic Nuclei (AGN).

Keywords

Life Time; XRBs; AGN; Energy

Conflicts of Interest

The authors declare no conflicts of interest.

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