Change in entropy of non-spinning black holes w.r.t. the radius of event horizon in XRBs |
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Authors: | Dipo Mahto Ved Prakash Umakant Prasad B. K. Singh K. M. Singh |
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Affiliation: | 1. Marwari College, Bhagalpur, India 2. Bhagalpur College of Engineering, Bhagalpur, India 3. T.N.B. College, Bhagalpur, India 4. Department of Physics, T.M.B.U., Bhagalpur, India
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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 ( $delta M = frac{kappa}{8pi} delta A + varOmegadelta J - upsilondelta Q$ ) 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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