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Change in entropy of non-spinning black holes w.r.t. the radius of event horizon in XRBs

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Abstract

The present research paper discusses the derivation for the change in entropy of Non- spinning black holes with respect to the change in the radius of event horizon applying the first law of black hole mechanics (\(\delta M = \frac{\kappa}{8\pi} \delta A + \varOmega\delta J - \upsilon\delta Q\)) with the relation for the change in entropy δS=8πMδM. When the work is further extended with proper operation, the entropy of black hole is obtained almost the same as the Bekenstein-Hawking entropy of black hole. This is the entirely new method to obtain the change in entropy of Non-spinning black holes w.r.t. the radius of event horizon and Hawking entropy of black hole. We have also calculated their values for different types of test non-spinning black holes having masses 5–20M ⊙ found in X-ray binaries (Narayan, gr-qc/0506078v1, 2005).

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Acknowledgements

Authors acknowledge their gratitude to Dr. Neeraj Pant (Associate Professor) Maths Dept., National Defense Academy Khadakwasla, Pune and Dr. (Prof.) Gopi Kant Jha, Former Head, Dept. of Physics, L.N.M. University, Darbhanga (Bihar) for their stimulating discussions and motivation. Authors are also grateful to the referee for pointing out the errors in original manuscript and making constructive suggestions.

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Authors and Affiliations

  1. Marwari College, Bhagalpur, India

    Dipo Mahto & K. M. Singh

  2. Bhagalpur College of Engineering, Bhagalpur, India

    Ved Prakash

  3. T.N.B. College, Bhagalpur, India

    Umakant Prasad

  4. Department of Physics, T.M.B.U., Bhagalpur, India

    B. K. Singh

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  1. Dipo Mahto
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  2. Ved Prakash
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  3. Umakant Prasad
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  4. B. K. Singh
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  5. K. M. Singh
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Correspondence to Dipo Mahto.

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Mahto, D., Prakash, V., Prasad, U. et al. Change in entropy of non-spinning black holes w.r.t. the radius of event horizon in XRBs. Astrophys Space Sci 343, 153–159 (2013). https://doi.org/10.1007/s10509-012-1219-y

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  • DOI: https://doi.org/10.1007/s10509-012-1219-y

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