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Thermodynamics of Black Holes and the Symmetric Generalized Uncertainty Principle

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Abstract

In this paper, we have investigated the thermodynamics of Schwarzschild and Reissner-Nordström black holes using the symmetric generalised uncertainty principle which contains correction terms involving momentum and position uncertainty. The mass-temperature relationship and the heat capacity for these black holes have been computed using which the critical and remnant masses have been obtained. The entropy is found to satisfy the area law upto leading order logarithmic corrections and corrections of the form A 2 (which is a new finding in this paper) from the symmetric generalised uncertainty principle.

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References

  1. Amati, D., Ciafaloni, M., Veneziano, G.: Phys. Lett. B 216, 41 (1989)

    Article  ADS  Google Scholar 

  2. Girelli, F., Livine, E.R., Oriti, D.: Nucl. Phys. B 708, 411 (2005). arXiv:gr-qc/0406100

    Article  MathSciNet  ADS  Google Scholar 

  3. Hawking, S.W.: Nature (London) 248, 30 (1974)

    Article  ADS  Google Scholar 

  4. Hawking, S.W.: Commun. Math. Phys. 43, 199 (1975)

    Article  MathSciNet  ADS  Google Scholar 

  5. Bekenstein, J. D.: Phys. Rev. D 7, 2333 (1973)

    Article  MathSciNet  ADS  Google Scholar 

  6. Bekenstein, J. D.: Phys. Rev. D 9, 3292 (1974)

    Article  ADS  Google Scholar 

  7. Bekenstein, J. D.: Lett. Nuovo Cimento 11, 467 (1974)

    Article  ADS  Google Scholar 

  8. Adler, R.J., Chen, P., Santiago, D.I.: Gen. Rel. Grav. 33, 2101 (2001). arXiv:gr-qc/0106080

    Article  MathSciNet  ADS  Google Scholar 

  9. Majumder, B.: Phys. Lett. B 703, 402 (2011)

    Article  MathSciNet  ADS  Google Scholar 

  10. Banerjee, R., Ghosh, S.: Phys. Lett. B 688, 224 (2010). arXiv:1002.2302[gr-qc]

    Article  MathSciNet  ADS  Google Scholar 

  11. Gangopadhyay, S., Dutta, A., Saha, A.: Gen. Rel. Grav. 46, 1661 (2014). arXiv:1307.7045[hep-th]

    Article  MathSciNet  ADS  Google Scholar 

  12. Dutta, A., Gangopadhyay, S.: Gen. Rel. Grav. 46, 1747 (2014). arXiv:1402.2133[gr-qc]

    Article  MathSciNet  ADS  Google Scholar 

  13. Carr, B.J., Mureika, J., Nicolini, P.: JHEP 1507, 052 (2015)

    Article  MathSciNet  ADS  Google Scholar 

  14. Bargueno, P., Vagenas, E.C.: Phys. Lett. B 742, 15 (2015)

    Article  ADS  Google Scholar 

  15. Gangopadhyay, S., Dutta, A., Faizal, M.: arXiv:1501.01482

  16. Faizal, M., Khalil, M.M.: Int. J. Mod. Phys. A 30, 1550144 (2015)

    Article  MathSciNet  ADS  Google Scholar 

  17. Chen, P., Ong, Y.C., Yeom, D.: JHEP 12, 021 (2014)

    Article  MathSciNet  ADS  Google Scholar 

  18. Hammad, F., Faizal, M.: arXiv:1507.02621

  19. Das, S., Vagenas, E.C.: Phys. Rev. Lett. 101, 221301 (2008). arXiv:0810.5333[hep-th]

    Article  ADS  Google Scholar 

  20. Das, S., Vagenas, E.C.: Phys. Rev. Lett. 104, 119002 (2010). arXiv:1003.3208[hep-th]

    Article  ADS  Google Scholar 

  21. Das, S., Vagenas, E.C.: Can. J. Phys. 87, 233 (2009). arXiv:0901.1768[hep-th]

    Article  ADS  Google Scholar 

  22. Ali, A.F., Das, S., Vagenas, E.C.: Phys. Lett. B 678, 497 (2009). arXiv:0906.5396[hep-th]

    Article  MathSciNet  ADS  Google Scholar 

  23. Das, S., Vagenas, E.C., Ali, A.F.: Phys. Lett. B 690, 407 (2010). Erratum-ibid. 692 (2010) 342; arXiv:1005.3368[hep-th]

    Article  ADS  Google Scholar 

  24. Ali, A.F., Das, S., Vagenas, E.C.: Phys. Rev. D 84, 044013 (2011). arXiv:1107.3164[hep-th]

    Article  ADS  Google Scholar 

  25. Maggiore, M.: Phys. Lett. B 304, 65 (1993)

    Article  ADS  Google Scholar 

  26. Maggiore, M.: Phys. Rev. D 49, 5182 (1994)

    Article  MathSciNet  ADS  Google Scholar 

  27. Hinrichsen, H., Kempf, A.: J. Math. Phys 37, 2121 (1996)

    Article  MathSciNet  ADS  Google Scholar 

  28. Bambi, C., Urban, F.R.: Natural extension of the generalised uncertainty principle. arXiv:0709.1965

  29. Kim, W, Son, E. J., Yoon, M: JHEP 01, 035 (2008)

    Article  MathSciNet  ADS  Google Scholar 

  30. Bolen, B., Cavaglia, M.: Gen. Rel. Grav 37, 1255 (2005)

    Article  MathSciNet  ADS  Google Scholar 

  31. Kempf, A.: Preprint DAMTP/94-33, arXiv:hep-th/9405067 (1994)

  32. Medved, A.J.M., Vagenas, E.C.: Phys. Rev. D 70, 124021 (2004)

    Article  MathSciNet  ADS  Google Scholar 

  33. Kaul, R.K., Majumdar, P.: Phys. Rev. Lett. 84, 5255 (2000)

    Article  MathSciNet  ADS  Google Scholar 

  34. Das, S., Majumdar, P., Bhaduri, R.K.: Class. Quant. Grav 19, 2355 (2002)

    Article  MathSciNet  ADS  Google Scholar 

  35. Ali, A.F.: Phys. Rev. D 89, 104040 (2014)

    Article  ADS  Google Scholar 

  36. Ali, A.F.: JHEP 1412, 159 (2014)

    Article  ADS  Google Scholar 

  37. Ali, A.F., Faizal, M., Khalil, M.M.: Phys. Lett. B 743, 295 (2015)

    Article  MathSciNet  ADS  Google Scholar 

  38. Son, E.J., Kim, W.: Mod. Phys. Lett. A 30, 1550178 (2015)

    Article  MathSciNet  ADS  Google Scholar 

  39. Magueijo, J., Smolin, L.: Phys. Rev. Lett. 88, 190403 (2002)

    Article  ADS  Google Scholar 

  40. Magueijo, J., Smolin, L.: Phys. Rev. D 67, 044017 (2003)

    Article  MathSciNet  ADS  Google Scholar 

  41. Hendi, S.H., Faizal, M.: Phys. Rev. D 92, 044027 (2015)

    Article  MathSciNet  ADS  Google Scholar 

  42. Hendi, S.H.: arXiv:1507.04733

  43. Hendi, S.H., Faizal, M., Panah, B.E., Panahiyan, S.: arXiv:1508.00234

  44. Gim, Y., Kim, W.: JCAP 05, 002 (2015)

    Article  MathSciNet  ADS  Google Scholar 

  45. Ali, A.F., Faizal, M., Khalil, M.M.: Nucl. Phys. B 894, 341 (2015)

    Article  ADS  Google Scholar 

  46. Ali, A.F., Faizal, M., Majumder, B., Mistry, R.: Int. J. Geom. Meth. Mod. Phys. 12, 1550085 (2015)

    Article  MathSciNet  Google Scholar 

  47. Ali, A.F., Faizal, M., Majumder, B.: Euro. Phys. Lett. 109, 20001 (2015)

    Article  Google Scholar 

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Acknowledgments

The authors thank the referee for useful comments.

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Authors and Affiliations

  1. Department of Physics, Adamas Institute of Technology, Barasat, Kolkata, 700126, India

    Abhijit Dutta

  2. Department of Physics, West Bengal State University, Barasat, Kolkata, 700126, India

    Abhijit Dutta & Sunandan Gangopadhyay

  3. Inter University Centre for Astronomy & Astrophysics, Pune, India

    Sunandan Gangopadhyay

Authors
  1. Abhijit Dutta
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  2. Sunandan Gangopadhyay
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Correspondence to Sunandan Gangopadhyay.

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Dutta, A., Gangopadhyay, S. Thermodynamics of Black Holes and the Symmetric Generalized Uncertainty Principle. Int J Theor Phys 55, 2746–2754 (2016). https://doi.org/10.1007/s10773-015-2907-5

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  • DOI: https://doi.org/10.1007/s10773-015-2907-5

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