Skip to main content
SpringerLink
Log in

Generalized Einstein–Power Maxwell theory in 2+1-dimensions

  • Regular Article
  • Published:
The European Physical Journal Plus Aims and scope Submit manuscript

Abstract

Using the generalized Einstein–Power Maxwell Lagrangian which has been proposed very recently by Mazharimousavi (Class Quantum Gravity 37:197001, 2020), we find an electric black hole solution in 2+1-dimensions. The solution is singular and non-asymptotically flat associated with only one horizon. The thermodynamic properties are investigated, and it is shown that the black hole is thermally stable. In the context of the extended thermodynamic phase space, we find Smarr’s formula consistent with the first law of the black holes.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. M. Born, L. Infeld, Foundations of the new field theory. Proc. R. Soc. A 144, 425 (1934)

    ADS  MATH  Google Scholar 

  2. F.A. Barone, C. Farina, Phys. Rev. D 71, 067701 (2005)

    Article  ADS  Google Scholar 

  3. E.S. Fradkin, A.A. Tseytlin, Phys. Lett. B 163, 12 (1985)

    Article  Google Scholar 

  4. E. Bergshoeff, E. Sezgin, C.N. Pope, P.K. Townsend, Phys. Lett. B 188, 70 (1987)

    Article  ADS  Google Scholar 

  5. J. Beltran Jimenez, et al., Phys. Rep. 727, 1 (2018)

  6. T.K. Dey, Phys. Lett. B 595, 484 (2004)

    Article  ADS  MathSciNet  Google Scholar 

  7. R.-G. Cai, D.-W. Pang, A. Wang, Phys. Rev. D 70, 124034 (2004)

    Article  ADS  MathSciNet  Google Scholar 

  8. O. Miskovic, R. Olea, Phys. Rev. D 77, 124048 (2008)

    Article  ADS  Google Scholar 

  9. E. Ayon Beato, A. A. Garcia, Phys. Rev. Lett. 80, 5056 (1998)

  10. E. Ayon-Beato, A. Garcia, Phys. Lett. B 493, 149 (2000)

    Article  ADS  MathSciNet  Google Scholar 

  11. S.A. Hayward, Phys. Rev. Lett. 96, 031103 (2006)

    Article  ADS  Google Scholar 

  12. L. Modesto, P. Nicolini, Phys. Rev. D 82, 104035 (2010)

    Article  ADS  Google Scholar 

  13. M. Azreg-Ainou, Phys. Rev. D 90, 064041 (2014)

    Article  ADS  Google Scholar 

  14. C. Bambi, L. Modesto, Phys. Lett. B 721, 329 (2013)

    Article  ADS  MathSciNet  Google Scholar 

  15. S.G. Ghosh, Eur. Phys. J. C 75, 532 (2015)

    Article  ADS  Google Scholar 

  16. M. Amir, S.G. Ghosh, J. High Energy Phys. 07, 015 (2015)

    Article  ADS  Google Scholar 

  17. B. Toshmatov, B. Ahmedov, A. Abdujabbarov, Z. Stuchlik, Phys. Rev. D 89, 104017 (2014)

    Article  ADS  Google Scholar 

  18. B. Toshmatov, Z. Stuchlk, B. Ahmedov, Phys. Rev. D 95, 084037 (2017)

    Article  ADS  MathSciNet  Google Scholar 

  19. S.H. Mazharimousavi, Ann. Phys. 416, 168145 (2020)

    Article  MathSciNet  Google Scholar 

  20. Y. He, M.-S. Ma, Phys. Lett. B 774, 229 (2017)

    Article  ADS  Google Scholar 

  21. A. Achúcarro, P.K. Townsend, Phys. Lett. B 180, 89 (1986)

    Article  ADS  MathSciNet  Google Scholar 

  22. A. Iorio, G. Lambiase, P. Pais, F. Scardigli, Phys. Rev. D 101, 105002 (2020)

    Article  ADS  MathSciNet  Google Scholar 

  23. Ö.-F. Dayi, Phys. Lett. B 234, 25 (1990)

    Article  ADS  Google Scholar 

  24. M. Banados, C. Teitelboim, J. Zanelli, Phys. Rev. Lett. 69, 1849 (1992)

    Article  ADS  MathSciNet  Google Scholar 

  25. M. Banados, M. Henneaux, C. Teitelboim, J. Zanelli, Phys. Rev. D 48, 1506 (1993)

    Article  ADS  MathSciNet  Google Scholar 

  26. M. Cataldo, P. Salgado, Phys. Rev. D 54, 2971 (1996)

    Article  ADS  MathSciNet  Google Scholar 

  27. M. Cataldo, A. Garcia, Phys. Lett. B 456, 28 (1999)

    Article  ADS  MathSciNet  Google Scholar 

  28. M. Cataldo, A. Garcia, Phys. Rev. D 61, 084003 (2000)

    Article  ADS  Google Scholar 

  29. M. Cataldo, N. Cruz, S. del Campo, A. Garcia, Phys. Lett. B 484, 154 (2000)

    Article  ADS  MathSciNet  Google Scholar 

  30. A. Rincon, E. Contreras, P. Bargueno, B. Koch, G. Panotopoulos, A. Hernandez-Arboleda, Eur. Phys. J. C 77, 494 (2017)

    Article  ADS  Google Scholar 

  31. A. Rincon, G. Panotopoulos, Phys. Rev. D 97, 024027 (2018)

    Article  ADS  MathSciNet  Google Scholar 

  32. A. Rincon, E. Contreras, P. Bargueno, B. Koch, G. Panotopoulos, Eur. Phys. J. C 78, 641 (2018)

    Article  ADS  Google Scholar 

  33. O. Gurtug, S.H. Mazharimousavi, M. Halilsoy, Phys. Rev. D 84, 124021 (2011)

    Article  ADS  Google Scholar 

  34. O. Gurtug, S.H. Mazharimousavi, M. Halilsoy, Phys. Rev. D 85, 104004 (2012)

    Article  ADS  Google Scholar 

  35. M. Hassaine, C. Martinez, Phys. Rev. D 75, 027502 (2007)

    Article  ADS  MathSciNet  Google Scholar 

  36. M. Hassaine, C. Martinez, Class. Quantum Gravity 25, 195023 (2008)

    Article  ADS  Google Scholar 

  37. H. Maeda, M. Hassaine, C. Martinez, Phys. Rev. D 79, 044012 (2009)

    Article  ADS  Google Scholar 

  38. H.A. Gonzalez, M. Hassaine, C. Martinez, Phys. Rev. D 80, 104008 (2009)

    Article  ADS  Google Scholar 

  39. S.H. Hendi, H.R. Rastegar-Sedehi, Gen. Relativ. Gravit. 41, 1355 (2009)

    Article  ADS  Google Scholar 

  40. S.H. Hendi, S. Kordestani, S.N.D. Motlagh, Prog. Theor. Phys. 124, 1067 (2010)

    Article  ADS  Google Scholar 

  41. S.H. Hendi, B.E. Panah, Phys. Lett. B 684, 77 (2010)

    Article  ADS  MathSciNet  Google Scholar 

  42. S.H. Mazharimousavi, Class. Quantum Gravity 37, 197001 (2020)

    Article  ADS  MathSciNet  Google Scholar 

  43. J.D. Brown, J.W. York, Phys. Rev. D 47, 1407 (1993)

    Article  ADS  MathSciNet  Google Scholar 

  44. J.D. Brown, J. Creighton, R.B. Mann, Phys. Rev. D 50, 6394 (1994)

    Article  ADS  MathSciNet  Google Scholar 

  45. P. Wang, H. Wu, H. Yang, Eur. Phys. J. C 79, 572 (2019)

    Article  ADS  Google Scholar 

  46. G.W. Gibbons, S.W. Hawking, Phys. Rev. D 15, 2752 (1977)

    Article  ADS  Google Scholar 

  47. D. Kubiznak, R.B. Mann, P-V criticality of charged AdS black holes. JHEP 07, 033 (2012)

    Article  ADS  MathSciNet  MATH  Google Scholar 

  48. D. Kastor, S. Ray, J. Traschen, Class. Quantum Gravity 26, 195011 (2009)

    Article  ADS  Google Scholar 

  49. B.P. Dolan, Class. Quantum Gravity 28, 125020 (2011)

    Article  ADS  Google Scholar 

  50. B.P. Dolan, Class. Quantum Gravity 28, 235017 (2011)

    Article  ADS  Google Scholar 

  51. B.P. Dolan, Phys. Rev. D 84, 127503 (2011)

    Article  ADS  Google Scholar 

  52. M. Cvetic, G. Gibbons, D. Kubiznak, C. Pope, Phys. Rev. D 84, 024037 (2011)

    Article  ADS  Google Scholar 

  53. C. Liang, L. Gong, B. Zhang, Class. Quantum Gravity 34, 035017 (2017)

    Article  ADS  Google Scholar 

  54. L.-H. Wang, Y. He, M.-S. Ma, Commun. Theor. Phys. 72, 105401 (2020)

    Article  ADS  Google Scholar 

Download references

Acknowledgements

I am grateful to S. Habib Mazharimousavi for helpful discussions.

Author information

Authors and Affiliations

  1. Department of Physics, Faculty of Arts and Sciences, Eastern Mediterranean University, via Mersin 10, Famagusta, North Cyprus, Turkey

    Z. Amirabi

Authors
  1. Z. Amirabi
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Z. Amirabi.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Amirabi, Z. Generalized Einstein–Power Maxwell theory in 2+1-dimensions. Eur. Phys. J. Plus 136, 569 (2021). https://doi.org/10.1140/epjp/s13360-021-01575-w

Download citation

  • Received:

  • Accepted:

  • Published:

  • DOI: https://doi.org/10.1140/epjp/s13360-021-01575-w

Search

Navigation