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Change in Internal Energy & Enthalpy of the Black Holes

Received: 16 August 2013    Accepted:     Published: 20 September 2013
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Abstract

The present paper derives an expression for the change in internal energy and enthalpy of the black holes using first law of thermodynamics and showing that the change in internal energy and enthalpy are the manifestations of same thing at constant pressure and volume. The paper also shows that the spinning black holes with spin a*→1 do not radiate energy and mass of the black hole becomes infinity for zero surface gravity.

Published in International Journal of Astrophysics and Space Science (Volume 1, Issue 4)
DOI 10.11648/j.ijass.20130104.12
Page(s) 20-22
Creative Commons

This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited.

Copyright

Copyright © The Author(s), 2024. Published by Science Publishing Group

Keywords

Internal Energy, Enthalpy, Entropy and Black Holes

References
[1] R. Narayan,: Black holes in astrophysics (2005) arXiv:gr-qc/0506078v1
[2] R.M. Wald,: The thermodynamics of black holes. Living reviews in relativity(2001).
[3] Hawking, S.W: Black hole explosion?. Nature 248:30-31. doi:10.1038/248030a0(1974).
[4] K. Kumari, D. Mahto, G. Chandra, R.K. Sah,& K.M Singh: Study of Schwarzschild radius with reference to the Non-spinning black holes. Bulletin of pure and Applied Sciences. Vol. 29D (No 2)P 183-187(2010).
[5] D. Mahto, K. Kumari, R.K. Sah, & V. Prakash: Study of Schwarzschild radius with reference to the spinning black holes. Bulletin of pure and Applied Sciences.Vol.30D(No 1) P 157-162(2011)
[6] D. Mahto, K. Kumari, R.K. Sah, K.M. Singh,: Study of Non-spinning black holes with reference to the change in Energy and Entropy. Astrophysics. and Space Sci. Doi 10.1007/s10509-011-0883-7 (2011).
[7] M. N. Saha, & B. N. Shrivastava, : A treatise on Heat. The Indian Press Private Ltd. Allahabad (1969)
[8] J. Transchen,: An introduction to black hole evaporation (2000). arXiv: gr- qc/0010055V1.
[9] D. Mahto, V. Prakash, B.K. Singh, K.M. Singh,: Change in entropy of Non-spinning black holes w.r.t. the radius of event horizon in XRBs. Astrophysics and Space Sci. Doi 10.1007/s10509-012-1219-y (2012).
[10] J.M. Bardeen, B. Carter, S.W. Hawking,: The four laws of black hole mechanics. Commun. Math. Phys. 31(2), 161-170(1973). doi:10.1007/BFO1645742.
[11] S. W. Hawking,: Particle creation by black holes. Commun. Math. Phys. 43, 199 (1975).
[12] A. Dabholkar, : Black hole entropy in string theory-window in to the quantum structure of gravity, Curr. Sci. 89(12), 25 (2005).
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  • APA Style

    Dipo Mahto, Amresh Kumar Singh, Mahendra Ram, Kumari Vineeta. (2013). Change in Internal Energy & Enthalpy of the Black Holes. International Journal of Astrophysics and Space Science, 1(4), 20-22. https://doi.org/10.11648/j.ijass.20130104.12

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    ACS Style

    Dipo Mahto; Amresh Kumar Singh; Mahendra Ram; Kumari Vineeta. Change in Internal Energy & Enthalpy of the Black Holes. Int. J. Astrophys. Space Sci. 2013, 1(4), 20-22. doi: 10.11648/j.ijass.20130104.12

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    AMA Style

    Dipo Mahto, Amresh Kumar Singh, Mahendra Ram, Kumari Vineeta. Change in Internal Energy & Enthalpy of the Black Holes. Int J Astrophys Space Sci. 2013;1(4):20-22. doi: 10.11648/j.ijass.20130104.12

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  • @article{10.11648/j.ijass.20130104.12,
      author = {Dipo Mahto and Amresh Kumar Singh and Mahendra Ram and Kumari Vineeta},
      title = {Change in Internal Energy & Enthalpy of the Black Holes},
      journal = {International Journal of Astrophysics and Space Science},
      volume = {1},
      number = {4},
      pages = {20-22},
      doi = {10.11648/j.ijass.20130104.12},
      url = {https://doi.org/10.11648/j.ijass.20130104.12},
      eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ijass.20130104.12},
      abstract = {The present paper derives an expression for the change in internal energy and enthalpy of the black holes using first law of thermodynamics and showing that the change in internal energy and enthalpy are the manifestations of same thing at constant pressure and volume. The paper also shows that the spinning black holes with spin a*→1 do not radiate energy and mass of the black hole becomes infinity for zero surface gravity.},
     year = {2013}
    }
    

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    T1  - Change in Internal Energy & Enthalpy of the Black Holes
    AU  - Dipo Mahto
    AU  - Amresh Kumar Singh
    AU  - Mahendra Ram
    AU  - Kumari Vineeta
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    DO  - 10.11648/j.ijass.20130104.12
    T2  - International Journal of Astrophysics and Space Science
    JF  - International Journal of Astrophysics and Space Science
    JO  - International Journal of Astrophysics and Space Science
    SP  - 20
    EP  - 22
    PB  - Science Publishing Group
    SN  - 2376-7022
    UR  - https://doi.org/10.11648/j.ijass.20130104.12
    AB  - The present paper derives an expression for the change in internal energy and enthalpy of the black holes using first law of thermodynamics and showing that the change in internal energy and enthalpy are the manifestations of same thing at constant pressure and volume. The paper also shows that the spinning black holes with spin a*→1 do not radiate energy and mass of the black hole becomes infinity for zero surface gravity.
    VL  - 1
    IS  - 4
    ER  - 

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Author Information
  • Department of Physics, Marwari College, T.M.B.U. Bhagalpur-812007, India

  • University Department of Physics, T.M.B.U. Bhagalpur-812007, India

  • Department of Physics, G.L.A. College, Daltonganj (Palamu), India

  • Department of Education, S.M. College, Bhagalpur, India

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