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Bounding the Greybody Factor, Temperature and Entropy of Black Holes in dRGT Massive Gravity

Received: 8 April 2016    Accepted:     Published: 9 April 2016
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Abstract

A black hole greybody factor is the quantum quantity of a black hole. It is the fraction of Hawking radiation that can reach spatial infinity. The greybody factor may contain the necessary information to support the theory of quantum gravity. An understanding of the greybody factor helps us gain insight, not only into the nature of the black hole itself, but also into the theory of quantum gravity, which is currently being developed via numerous attempts. In this paper, we calculate the bound on the greybody factor for scalar field emitted from black holes in dRGT massive gravity. The bound on the reflection probability is also determined. Moreover, the effects of massive gravity on the greybody factors are explored. The results show that the bound on the greybody factor for the dRGT black holes is less than the bound for the Schwarzschild-de-Sitter black hole. The Hawking temperature is also calculated, both in the dRGT case and in the Schwarzschild-de-Sitter case. It is found that the Hawking temperature of the dRGT black hole is higher than that of the Schwarzschild-de-Sitter black hole. The increase in the Hawking temperature probably results from the mass of graviton. Finally, the black hole entropy is also determined. We found that the entropy of the Schwarzschild-de-Sitter black hole is more than the entropy of the dRGT black hole.

Published in American Journal of Physics and Applications (Volume 4, Issue 2)
DOI 10.11648/j.ajpa.20160402.15
Page(s) 64-70
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

dRGT Black Hole, Greybody Factor, Hawking Temperature, Massive Gravity, Modified General Relativity

References
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  • APA Style

    Tritos Ngampitipan, Petarpa Boonserm, Pitayuth Wongjun. (2016). Bounding the Greybody Factor, Temperature and Entropy of Black Holes in dRGT Massive Gravity. American Journal of Physics and Applications, 4(2), 64-70. https://doi.org/10.11648/j.ajpa.20160402.15

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    ACS Style

    Tritos Ngampitipan; Petarpa Boonserm; Pitayuth Wongjun. Bounding the Greybody Factor, Temperature and Entropy of Black Holes in dRGT Massive Gravity. Am. J. Phys. Appl. 2016, 4(2), 64-70. doi: 10.11648/j.ajpa.20160402.15

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    AMA Style

    Tritos Ngampitipan, Petarpa Boonserm, Pitayuth Wongjun. Bounding the Greybody Factor, Temperature and Entropy of Black Holes in dRGT Massive Gravity. Am J Phys Appl. 2016;4(2):64-70. doi: 10.11648/j.ajpa.20160402.15

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  • @article{10.11648/j.ajpa.20160402.15,
      author = {Tritos Ngampitipan and Petarpa Boonserm and Pitayuth Wongjun},
      title = {Bounding the Greybody Factor, Temperature and Entropy of Black Holes in dRGT Massive Gravity},
      journal = {American Journal of Physics and Applications},
      volume = {4},
      number = {2},
      pages = {64-70},
      doi = {10.11648/j.ajpa.20160402.15},
      url = {https://doi.org/10.11648/j.ajpa.20160402.15},
      eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ajpa.20160402.15},
      abstract = {A black hole greybody factor is the quantum quantity of a black hole. It is the fraction of Hawking radiation that can reach spatial infinity. The greybody factor may contain the necessary information to support the theory of quantum gravity. An understanding of the greybody factor helps us gain insight, not only into the nature of the black hole itself, but also into the theory of quantum gravity, which is currently being developed via numerous attempts. In this paper, we calculate the bound on the greybody factor for scalar field emitted from black holes in dRGT massive gravity. The bound on the reflection probability is also determined. Moreover, the effects of massive gravity on the greybody factors are explored. The results show that the bound on the greybody factor for the dRGT black holes is less than the bound for the Schwarzschild-de-Sitter black hole. The Hawking temperature is also calculated, both in the dRGT case and in the Schwarzschild-de-Sitter case. It is found that the Hawking temperature of the dRGT black hole is higher than that of the Schwarzschild-de-Sitter black hole. The increase in the Hawking temperature probably results from the mass of graviton. Finally, the black hole entropy is also determined. We found that the entropy of the Schwarzschild-de-Sitter black hole is more than the entropy of the dRGT black hole.},
     year = {2016}
    }
    

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  • TY  - JOUR
    T1  - Bounding the Greybody Factor, Temperature and Entropy of Black Holes in dRGT Massive Gravity
    AU  - Tritos Ngampitipan
    AU  - Petarpa Boonserm
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    Y1  - 2016/04/09
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    N1  - https://doi.org/10.11648/j.ajpa.20160402.15
    DO  - 10.11648/j.ajpa.20160402.15
    T2  - American Journal of Physics and Applications
    JF  - American Journal of Physics and Applications
    JO  - American Journal of Physics and Applications
    SP  - 64
    EP  - 70
    PB  - Science Publishing Group
    SN  - 2330-4308
    UR  - https://doi.org/10.11648/j.ajpa.20160402.15
    AB  - A black hole greybody factor is the quantum quantity of a black hole. It is the fraction of Hawking radiation that can reach spatial infinity. The greybody factor may contain the necessary information to support the theory of quantum gravity. An understanding of the greybody factor helps us gain insight, not only into the nature of the black hole itself, but also into the theory of quantum gravity, which is currently being developed via numerous attempts. In this paper, we calculate the bound on the greybody factor for scalar field emitted from black holes in dRGT massive gravity. The bound on the reflection probability is also determined. Moreover, the effects of massive gravity on the greybody factors are explored. The results show that the bound on the greybody factor for the dRGT black holes is less than the bound for the Schwarzschild-de-Sitter black hole. The Hawking temperature is also calculated, both in the dRGT case and in the Schwarzschild-de-Sitter case. It is found that the Hawking temperature of the dRGT black hole is higher than that of the Schwarzschild-de-Sitter black hole. The increase in the Hawking temperature probably results from the mass of graviton. Finally, the black hole entropy is also determined. We found that the entropy of the Schwarzschild-de-Sitter black hole is more than the entropy of the dRGT black hole.
    VL  - 4
    IS  - 2
    ER  - 

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Author Information
  • Faculty of Science, Chandrakasem Rajabhat University, Bangkok, Thailand

  • Department of Mathematics and Computer Science, Faculty of Science, Chulalongkorn University, Bangkok, Thailand

  • The institute for Fundamental Study, Naresuan University, Phitsanulok, Thailand

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