Advertisement

Thermodynamics of rotating Kaluza-Klein black holes in gravity’s rainbow

  • Salwa AlsalehEmail author
Regular Article

Abstract.

In this paper, a four-dimensional rotating Kaluza Klien (K-K) black hole was deformed using rainbow functions derived from loop quantum gravity and non-commutative geometry. We studied the thermodynamic properties and critical phenomena of this deformed black hole. The deformed temperature and entropy showed the existence of a Planckian remnant. The calculation of Gibbs free energy G for the ordinary and deformed black holes showed that both share a similar critical behaviour.

References

  1. 1.
    Petr Hořava, Phys. Rev. D 79, 084008 (2009)MathSciNetCrossRefGoogle Scholar
  2. 2.
    Petr Hořava, Phys. Rev. Lett. 102, 161301 (2009)MathSciNetCrossRefGoogle Scholar
  3. 3.
    Joao Magueijo, Lee Smolin, Phys. Rev. Lett. 88, 190403 (2002)CrossRefGoogle Scholar
  4. 4.
    Giovanni Amelino-Camelia, John Ellis, N.E. Mavromatos, Dimitri V. Nanopoulos, Subir Sarkar, Nature 393, 763 (1998)ADSCrossRefGoogle Scholar
  5. 5.
    Rodolfo Gambini, Jorge Pullin, Phys. Rev. D 59, 124021 (1999)ADSMathSciNetCrossRefGoogle Scholar
  6. 6.
    Gerard ’t Hooft, Class. Quantum Grav. 13, 1023 (1996)ADSCrossRefGoogle Scholar
  7. 7.
    V. Alan Kostelecky, Stuart Samuel, Phys. Rev. D 39, 683 (1989)ADSCrossRefGoogle Scholar
  8. 8.
    Sean M. Carroll, Jeffrey A. Harvey, V. Alan Kostelecky, Charles D. Lane, Takemi Okamoto, Phys. Rev. Lett. 87, 141601 (2001)ADSMathSciNetCrossRefGoogle Scholar
  9. 9.
    Ruth Gregory, Susha L. Parameswaran, Gianmassimo Tasinato, Ivonne Zavala, JHEP 10, 1 (2010)Google Scholar
  10. 10.
    Philipp Burda, Ruth Gregory, Simon Ross, JHEP 11, 073 (2014)CrossRefGoogle Scholar
  11. 11.
    Steven S. Gubser, Abhinav Nellore, Phys. Rev. D 80, 105007 (2009)ADSCrossRefGoogle Scholar
  12. 12.
    Yen Chin Ong, Pisin Chen, Phys. Rev. D 84, 104044 (2011)ADSCrossRefGoogle Scholar
  13. 13.
    Mohsen Alishahiha, Hossein Yavartanoo, Class. Quantum Grav. 31, 095008 (2014)CrossRefGoogle Scholar
  14. 14.
    Parijat Dey, Shibaji Roy, Phys. Rev. D 91, 026005 (2015)MathSciNetCrossRefGoogle Scholar
  15. 15.
    Kevin Goldstein, Norihiro Iizuka, Shamit Kachru, Shiroman Prakash, Sandip P. Trivedi, Alexander Westphal, JHEP 10, 027 (2010)CrossRefGoogle Scholar
  16. 16.
    Gaetano Bertoldi, Benjamin A. Burrington, Amanda W. Peet, Phys. Rev. D 80, 126004 (2009)ADSMathSciNetCrossRefGoogle Scholar
  17. 17.
    M. Kord Zangeneh, A. Sheykhi, M.H. Dehghani, Phys. Rev. D 92, 024050 (2015)ADSMathSciNetCrossRefGoogle Scholar
  18. 18.
    Javier Tarrio, Stefan Vandoren, JHEP 09, 017 (2011)CrossRefGoogle Scholar
  19. 19.
    Remo Garattini, Emmanuel N. Saridakis, Eur. Phys. J. C 75, 343 (2015)ADSCrossRefGoogle Scholar
  20. 20.
    Joao Magueijo, Lee Smolin, Class. Quantum Grav. 21, 1725 (2004)ADSCrossRefGoogle Scholar
  21. 21.
    Ahmed Farag Ali, Mir Faizal, Mohammed M. Khalil, JHEP 12, 159 (2014)ADSGoogle Scholar
  22. 22.
    Amani Ashour, Mir Faizal, Ahmed Farag Ali, Fayçal Hammad, Eur. Phys. J. C 76, 264 (2016)ADSCrossRefGoogle Scholar
  23. 23.
    Ahmed Farag Ali, Mir Faizal, Mohammed M. Khalil, Phys. Lett. B 743, 295 (2015)ADSMathSciNetCrossRefGoogle Scholar
  24. 24.
    Ahmed Farag Ali, Mir Faizal, Barun Majumder, Ravi Mistry, Int. J. Geom. Methods Mod. Phys. 12, 1550085 (2015)MathSciNetCrossRefGoogle Scholar
  25. 25.
    S.H. Hendi, S. Panahiyan, B. Eslam Panah, M. Momennia, Eur. Phys. J. C 76, 150 (2016)ADSCrossRefGoogle Scholar
  26. 26.
    S.H. Hendi, S. Panahiyan, S. Upadhyay, B. Eslam Panah, arXiv:1611.02937 (2016)
  27. 27.
    Seyed Hossein Hendi, Mir Faizal, Phys. Rev. D 92, 044027 (2015)ADSMathSciNetCrossRefGoogle Scholar
  28. 28.
    Prabir Rudra, Mir Faizal, Ahmed Farag Ali, Nucl. Phys. B 909, 725 (2016)ADSCrossRefGoogle Scholar
  29. 29.
    Seyed Hossein Hendi, Ali Dehghani, Mir Faizal, Nucl. Phys. B 914, 117 (2017)ADSCrossRefGoogle Scholar
  30. 30.
    Remo Garattini, JCAP 06, 017 (2013)CrossRefGoogle Scholar
  31. 31.
    G.W. Gibbons, D.L. Wiltshire, Ann. Phys. 167, 201 (1986)ADSCrossRefGoogle Scholar
  32. 32.
    Dean Rasheed, Nucl. Phys. B 454, 379 (1995)CrossRefGoogle Scholar
  33. 33.
    Finn Larsen, Nucl. Phys. B 575, 211 (2000)ADSCrossRefGoogle Scholar
  34. 34.
    Tonatiuh Matos, César Mora, Class. Quantum Grav. 14, 2331 (1997)ADSCrossRefGoogle Scholar
  35. 35.
    Nissan Itzhaki, JHEP 98, 018 (1998)CrossRefGoogle Scholar
  36. 36.
    Tatsuo Azeyanagi, Noriaki Ogawa, Seiji Terashima, JHEP 09, 061 (2009)CrossRefGoogle Scholar
  37. 37.
    Rong-Gen Cai, Li-Ming Cao, Nobuyoshi Ohta, Phys. Lett. B 639, 354 (2006)ADSMathSciNetCrossRefGoogle Scholar
  38. 38.
    Ahmed Farag Ali, Phys. Rev. D 89, 104040 (2014)ADSCrossRefGoogle Scholar
  39. 39.
    Ahmed Farag Ali, Mir Faizal, Mohammed M Khalil, Nucl. Phys. B 894, 341 (2015)ADSCrossRefGoogle Scholar
  40. 40.
    Marco Angheben, Mario Nadalini, Luciano Vanzo, Sergio Zerbini, JHEP 05, 014 (2005)CrossRefGoogle Scholar
  41. 41.
    Giovanni Amelino-Camelia, Living Rev. Relativ. 16, 5 (2013)ADSCrossRefGoogle Scholar
  42. 42.
    Uri Jacob, Flavio Mercati, Giovanni Amelino-Camelia, Tsvi Piran, Phys. Rev. D 82, 084021 (2010)ADSCrossRefGoogle Scholar

Copyright information

© Società Italiana di Fisica and Springer-Verlag Berlin Heidelberg 2017

Authors and Affiliations

  1. 1.Department of Physics and AstronomyKing Saud UniversityRiyadhSaudi Arabia

Personalised recommendations