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

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).

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

Conflicts of Interest

The authors declare no conflicts of interest.

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