Abstract
Present paper provides a new non-singular model for anisotropic charged fluid sphere in (\(2+1\))-dimensional anti de-Sitter spacetime corresponding to the exterior BTZ spacetime (Banados et al., Phys. Rev. Lett. 69:1849, 1992). The model is obtained by assuming Krori and Barua (KB) ansatz (Krori and Barua, J. Phys. A, Math. Gen., 8:508, 1975). To solve the Einstein-Maxwell field equations we choose modified Chaplygin gas. Various physical quantities have been discussed and from our analysis we show that our model satisfies all required physical conditions for representing compact stars.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Abbott, E.A.: Flatland. Dover, New York (1884), 6th edn. (1952)
Banados, M., Teitelboim, C., Zanelli, J.: Phys. Rev. Lett. 69, 1849 (1992)
Bhar, P., Banerjee, A.: Int. J. Mod. Phys. D 24, 1550034 (2015)
Bhar, P., Rahaman, F., Biswas, R., Fatim, H.I.: Commun. Theor. Phys. 62, 221 (2014)
Bilic, N., Tupper, G.B., Viollier, R.D.: Phys. Lett. B 535, 17 (2002)
Burdyuzha, V.V.: Astron. Rep. 53, 381 (2009)
Carlip, S.: Class. Quantum Gravity 12, 2853 (1995)
Cruz, N., Zanelli, J.: Class. Quantum Gravity 12, 975 (1995)
Cruz, N., Olivares, M., Villanueva, J.R.: Gen. Relativ. Gravit. 37, 667 (2004)
Deser, S., Jackiw, R., t’Hooft, G.: Ann. Phys. 152, 220 (1984)
Dymnikova, I.: Class. Quantum Gravity 19, 725 (2002)
Fabris, J.C., Goncalves, S.V.B., de Souza, P.E.: Gen. Relativ. Gravit. 34, 53 (2002)
Finch, M.R., Skea, E.F.J.: Class. Quantum Gravity 6, 467 (1989)
Giddings, S., Abbot, J., Kuchar, K.: Gen. Relativ. Gravit. 16, 751 (1984)
Gott, J.R.: Astrophys. J. 288, 422 (1985)
Gott, J.R., Alpert, M.: Gen. Relativ. Gravit. 16, 243 (1984)
Gurtug, O., et al.: Phys. Rev. D 85, 104004 (2012)
Jamil, M., et al.: Int. J. Theor. Phys. 49, 835 (2010)
Kamenshchik, A., et al.: Phys. Lett. B 487, 7 (2000)
Kim, W.T., et al.: Phys. Rev. D 70, 044006 (2004)
Krori, K.D., Barua, J.: J. Phys. A, Math. Gen. 8, 508 (1975)
Lubo, M., et al.: Phys. Rev. D 59, 044012 (1999)
Mann, R.B., Ross, S.F.: Phys. Rev. D 47, 3319 (1993)
Mehedi, et al.: Eur. Phys. J. C 72, 2248 (2012). arXiv:1201.5234 [gr-qc]
Meusburger, C.: Class. Quantum Gravity 26, 055006 (2009)
Monoar, et al.: Int. J. Mod. Phys. D 21, 1250088 (2012). arXiv:1204.3558 [gr-qc]
Perry, G.P., et al.: Gen. Relativ. Gravit. 24, 305 (1992)
Rahaman, F., Bhar, P., Sharma, R., Kumar Tiwari, R.: Eur. Phys. J. C 75, 107 (2015)
Rahaman, F., et al.: Phys. Scr. 76, 56 (2007)
Rahaman, F., et al.: Phys. Rev. D 82, 104055 (2010)
Rahaman, F., et al.: Phys. Lett. B 707, 319 (2012a)
Rahaman, F., et al.: Int. J. Theor. Phys. 51, 1680 (2012b)
Rahaman, F., et al.: Gen. Relativ. Gravit. 44, 107 (2012c)
Rahaman, F., et al.: Eur. Phys. J. C 72, 2071 (2012d). arXiv:1108.6125 [gr-qc]
Rahaman, F., et al.: Int. J. Theor. Phys. 52, 932 (2013). arXiv:1210.6346
Rahaman, F., et al.: Phys. Lett. B 717, 1 (2014a). e-Print: arXiv:1205.6796 [physics.gen-ph]
Rahaman, F., Bhar, P., Biswas, R., Usmani, A.A.: Eur. Phys. J. C 74, 2845 (2014b)
Sakamoto, K., et al.: Phys. Rev. D 58, 124017 (1998)
Sharma, R., et al.: Phys. Lett. B 704, 1 (2011)
Varela, V., et al.: Phys. Rev. D 82, 044052 (2010)
Acknowledgements
F. Rahaman is thankful to the Inter-University Centre for Astronomy and Astrophysics (IUCAA), India for providing research facilities. F. Rahaman and S. Islam are also thankful to DST, Govt. of India for providing financial support under PURSE and INSPIRE Fellowship respectively.
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Bhar, P., Rahaman, F., Jawad, A. et al. Anisotropic charged fluids with Chaplygin equation of state in \((2+1)\) dimension. Astrophys Space Sci 360, 32 (2015). https://doi.org/10.1007/s10509-015-2543-9
Received:
Accepted:
Published:
DOI: https://doi.org/10.1007/s10509-015-2543-9