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Thermodynamic analysis of a Schwarzschild black hole fed by cosmic microwave background radiation

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Abstract

The analysis of black holes fed by the omnipresent Cosmic Microwave Background Radiation (CMBR) constitutes benchmark cases. The rate of energy and entropy variation of a Schwarzschild black hole fed by CMBR is analytically obtained. The entropy analysis revealed that there is a higher value of black hole’s critical mass than that obtained from an energy analysis, which is needed for its existence with high probability. At this minimum value of mass of the Schwarzschild black hole, the entropy generated due to its existence becomes positive. The black hole’s negentropy and the difference between its exit and inlet specific entropies are shown to more importantly correlate with its event horizon area than the black hole’s entropy.

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Acknowledgement

The authors thank the German Research Foundation’s (DFG) Mercator Professorship programme for sponsoring this investigation.

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Authors and Affiliations

  1. Institut für Thermofluiddynamik (M-21), Hamburg University of Technology, Gebäude L, Denickestr. 17, 21073, Hamburg, Germany

    Shripad P. Mahulikar & Heinz Herwig

  2. Department of Aerospace Engineering, Indian Institute of Technology Bombay, P.O. IIT Powai, Mumbai, 400076, India

    Shripad P. Mahulikar

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  1. Shripad P. Mahulikar
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  2. Heinz Herwig
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Correspondence to Shripad P. Mahulikar.

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Mahulikar, S.P., Herwig, H. Thermodynamic analysis of a Schwarzschild black hole fed by cosmic microwave background radiation. Eur. Phys. J. C 73, 2292 (2013). https://doi.org/10.1140/epjc/s10052-013-2292-2

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  • DOI: https://doi.org/10.1140/epjc/s10052-013-2292-2

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