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Corrected Bekenstein–Hawking entropy of warped AdS3 rotating black hole with generalized uncertainty principle

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Abstract

In the Generalized Uncertainty Principle (GUP), there should be a minimal black hole whose size is comparable to the minimal length so that it cannot evaporate completely through the thermal radiation. Again, the black hole is not allowed to have a mass less than a scale of order Planck mass, which suggested a black hole remnant. We study the warped AdS3 rotating black hole and calculate the entropy, heat capacity and critical mass with the help of GUP. We compute the area theorem with GUP correction.

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References

  • Adler, R.J., Santiago, D.I.: On gravity and the uncertainty principle. Mod. Phys. Lett. A 14, 1371 (1999)

    Article  ADS  Google Scholar 

  • Adler, R.J., Chen, P., Santiago, D.I.: The generalized uncertainty principle and black hole remnants. Gen. Relativ. Gravit. 33, 2101 (2001)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  • Amati, D., Ciafaloni, M., Veneziano, G.: Can spacetime be probed below the string size? Phys. Lett. B 216, 41 (1989)

    Article  ADS  Google Scholar 

  • Amati, D., Ciafaloni, M., Veneziano, G.: Higher-order gravitational deflection and soft bremsstrahlung in planckian energy superstring collisions. Nucl. Phys. B 347, 550 (1990)

    Article  ADS  Google Scholar 

  • Amati, D., Ciafaloni, M., Veneziano, G.: Towards an S-matrix description of gravitational collapse. J. High Energy Phys. 02, 049 (2008)

    Article  MathSciNet  ADS  Google Scholar 

  • Anninos, A., Li, W., Padi, M., Song, W., Strominger, A.: Warped AdS3 black holes. J. High Energy Phys. 03, 130 (2009)

    Article  MathSciNet  ADS  Google Scholar 

  • Aurilia, A., Spallucci, E.: Planck’s uncertainty principle and the saturation of Lorentz boots by planckian black hole (2013). arXiv:1309.7186

  • Bambi, C., Urban, F.R.: Natural extension of the generalized uncertainty principle. Class. Quantum Gravity 25, 095006 (2008)

    Article  MathSciNet  ADS  Google Scholar 

  • Bardeen, J.M., Carter, B., Hawking, S.W.: The four laws of black hole mechanics. Commun. Math. Phys. 31, 161 (1973)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  • Bekenstein, J.D.: Black holes and the second law. Lett. Nuovo Cimento 4, 737 (1972)

    Article  ADS  Google Scholar 

  • Bekenstein, J.D.: Black holes and entropy. Phys. Rev. D 7, 2333 (1973)

    Article  MathSciNet  ADS  Google Scholar 

  • Bekenstein, J.D.: Generalized second law of thermodynamics in black hole physics. Phys. Rev. D 9, 3292 (1974)

    Article  ADS  Google Scholar 

  • Bouchareb, A., Clement, G.: Black hole mass and angular momentum in topological massive gravity. Class. Quantum Gravity 24, 5581 (2007)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  • Custodio, P.S., Horvath, J.E.: The generalized uncertainty principle, entropy bounds and black hole (non-)evaporation in a thermal bath. Class. Quantum Gravity 20, 197 (2003)

    Article  MathSciNet  Google Scholar 

  • Dvali, G., Giudice, G.F., Gomez, C., Kehagias, A.: UV-completion by classicalization. J. High Energy Phys. 08, 108 (2011)

    Article  ADS  Google Scholar 

  • Garay, L.J.: Quantum gravity and minimum length. Int. J. Mod. Phys. A 10, 145 (1995)

    Article  ADS  Google Scholar 

  • Gross, D.J., Mende, P.F.: String theory beyond the Planck scale. Nucl. Phys. B 303, 407 (1988)

    Article  MathSciNet  ADS  Google Scholar 

  • Hawking, S.W.: Black hole explosions. Nature 248, 30 (1974)

    Article  ADS  Google Scholar 

  • Hawking, S.W.: Particle creation by black holes. Commun. Math. Phys. 43, 199 (1975)

    Article  MathSciNet  ADS  Google Scholar 

  • Hawking, S.W.: Black holes and thermodynamics. Phys. Rev. D 13, 191 (1976)

    Article  MathSciNet  ADS  Google Scholar 

  • Kao, H.C., Wen, W.Y.: Absorption cross section in warped AdS3 black hole revisited. J. High Energy Phys. 09, 102 (2009)

    Article  MathSciNet  ADS  Google Scholar 

  • Konishi, K., Paffuti, G., Provero, P.: Minimum physical length and the generalized uncertainty principle in string theory. Phys. Lett. B 234, 276 (1990)

    Article  MathSciNet  ADS  Google Scholar 

  • Li, G.: The generalized uncertainty principle and the quantum entropy due to spin fields on the Reissner–Nordström black hole background. Astrophys. Space Sci. 2(351), 671–675 (2014)

    Article  ADS  Google Scholar 

  • Ma, M.S., Liu, F., Zhao, R.: The minimum masses of black holes from the generalized uncertainty principle and the uncertainty principle. Astrophys. Space Sci. 2(349), 861–864 (2014)

    Article  ADS  Google Scholar 

  • Maggiore, M.: The algebraic structure of the generalized uncertainty principle. Phys. Lett. B 319, 83 (1993a)

    Article  MathSciNet  ADS  Google Scholar 

  • Maggiore, M.: A generalized uncertainty principle in quantum gravity. Phys. Lett. B 304, 65 (1993b)

    Article  ADS  Google Scholar 

  • Maggiore, M.: Quantum groups, gravity and the generalized uncertainty principle. Phys. Rev. D 49, 5182 (1994)

    Article  MathSciNet  ADS  Google Scholar 

  • Mead, C.A.: Possible connection between gravitation and fundamental length. Phys. Rev. D 135, 849 (1964)

    Article  MathSciNet  ADS  Google Scholar 

  • Scardigli, F.: Generalized uncertainty principle in quantum gravity from micro back hole gedanken experiment. Phys. Lett. B 452, 39 (1999)

    Article  ADS  Google Scholar 

  • Scardigli, F., Casadio, R.: Generalized uncertainty principle, extra-dimensions and holography. Class. Quantum Gravity 20, 3915 (2003)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  • Scardigli, F., Casadio, R.: Gravitational test of the Generalized Uncertainty Principle (2014). arXiv:1407.0113v1

  • Silva, C.A., Landim, R.R.: A note on black hole entropy area spectrum and evaporation. Europhys. Lett. (2011). arXiv:1003.3679. doi:10.1209/0295-5075/96/10007

    Google Scholar 

  • Tawfik, A.: Impacts of general uncertainty principle on black hole thermodynamics and Salecker–Wigner inequalities. J. Cosmol. Astropart. Phys. 07, 040 (2013)

    Article  ADS  Google Scholar 

  • Veneziano, G.: A string nature needs just two constants. Europhys. Lett. 2, 199 (1986)

    Article  ADS  Google Scholar 

  • Xiang, L., Wen, X.Q.: A heuristic analysis of black hole thermodynamics with generalized uncertainty principle. J. High Energy Phys. 10, 046 (2009)

    Article  MathSciNet  ADS  Google Scholar 

  • Yoneya, T.: On the interpretation of minimal length in string theories. Mod. Phys. Lett. A 4, 1587 (1989)

    Article  MathSciNet  ADS  Google Scholar 

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Authors and Affiliations

  1. Department of Mathematics, Cotton College, Guwahati, India

    Chandra Rekha Mahanta

  2. Department of Mathematics, Gauhati University, Guwahati, India

    Rajesh Misra

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  1. Chandra Rekha Mahanta
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  2. Rajesh Misra
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Correspondence to Rajesh Misra.

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Mahanta, C.R., Misra, R. Corrected Bekenstein–Hawking entropy of warped AdS3 rotating black hole with generalized uncertainty principle. Astrophys Space Sci 358, 49 (2015). https://doi.org/10.1007/s10509-015-2437-x

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  • DOI: https://doi.org/10.1007/s10509-015-2437-x

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