Abstract
We demonstrate a technique to generate new class of exact solutions to the Einstein-Maxwell system describing a static spherically symmetric relativistic star with anisotropic matter distribution. An interesting feature of the new class of solutions is that one can easily switch off the electric and/or anisotropic effects in this formulation. Consequently, we show that a plethora of well known stellar solutions can be identified as sub-class of our class of solutions. We demonstrate that it is possible to express our class of solutions in a simple closed form so as to examine its physical viability for the studies of relativistic compact stars.
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References
Abreu, H., Hernandez, H., Nunez, L.A.: Class. Quantum Gravity 24, 4631 (2007)
Bekenstein, J.D.: Phys. Rev. D 4, 2185 (1971)
Bowers, R.L., Liang, E.P.T.: Astrophys. J. 188, 657 (1974)
de la Cooperstock, F.I., Cruz, V.: Gen. Relativ. Gravit. 9, 835 (1977)
Delgaty, M.R.S., Lake, K.: Comput. Phys. Commun. 115, 395 (1998)
Durgapal, M.C., Bannerji, R.: Phys. Rev. D 27, 328 (1983)
Durgapal, M.C., Fuloria, R.S.: Gen. Relativ. Gravit. 17, 671 (1985)
Finch, M.R., Skea, J.E.F.: Class. Quantum Gravity 6, 467 (1989)
Herera, L.: Phys. Lett. A 165, 206 (1992)
Herrera, L.: Phys. Rev. D 101, 104024 (2020)
Herrera, L., Santos, N.O.: Phys. Rep. 286, 53 (1997)
Ivanov, B.V.: Phys. Rev. D 65, 104011 (2002)
Karmarkar, S., Mukherjee, S., Sharma, R., Maharaj, S.D.: Pramāna J. Phys. 16, 881 (2007)
Komathiraj, K., Maharaj, S.D.: Int. J. Mod. Phys. D 16, 1803 (2007a)
Komathiraj, K., Maharaj, S.D.: J. Math. Phys. 48, 042501 (2007b)
Komathiraj, K., Maharaj, S.D.: Gen. Relativ. Gravit. 39, 2079 (2007c)
Komathiraj, K., Maharaj, S.D.: Math. Comput. Appl. 15, 665 (2010)
Komathiraj, K., Sharma, R.: Pramāna J. Phys. 90, 68 (2018)
Komathiraj, K., Sharma, R., Das, S., Maharaj, S.D.: J. Astrophys. Astron. 40, 37 (2019)
Maharaj, S.D., Komathiraj, K.: Class. Quantum Gravity 24, 4513 (2007)
Maharaj, S.D., Leach, P.G.L.: J. Math. Phys. 37, 430 (1996)
Maharaj, S.D., Thirukkanesh, S.: Nonlinear Anal., Real World Appl. 10, 3396 (2009)
Maharaj, S.D., Sunzu, J.M., Ray, S.: Eur. Phys. J. Plus 129, 3 (2014)
Majumdar, S.D.: Phys. Rev. D 72, 390 (1947)
Mak, M.K., Harko, T.: Int. J. Mod. Phys. D 13, 149 (2004)
Maurya, S.K., Maharaj, S.D.: Eur. Phys. J. C 77, 328 (2017)
Nasheeha, R.N., Thirukkanesh, S., Ragel, F.C.: Eur. Phys. J. C 80, 6 (2020)
Papapetrou, A.: Proc. R. Ir. Acad. 81, 191 (1947)
Ratanpal, B.S., Pandya, D.M., Sharma, R., Das, S.: Astrophys. Space Sci. 362, 82 (2017)
Ruderman, R.: Annu. Rev. Astron. Astrophys. 10, 427 (1972)
Sharma, R., Mukherjee, S., Maharaj, S.D.: Gen. Relativ. Gravit. 33, 999 (2001)
Sharma, R., Das, S., Thirukkanesh, S.: Astrophys. Space Sci. 362, 232 (2017)
Thirukkanesh, S., Maharaj, S.D.: Math. Methods Appl. Sci. 32, 684 (2009)
Thirukkanesh, S., Ragel, F.C., Sharma, R., Das, S.: Eur. Phys. J. C 78, 31 (2018)
Thirukkanesh, S., Sharma, R., Maharaj, S.D.: Eur. Phys. J. Plus 134, 378 (2019)
Tikekar, R.: J. Math. Phys. 31, 2454 (1990)
Vaidya, P.C., Tikekar, R.: Astrophys. Astron. 3, 325 (1982)
Acknowledgements
RS gratefully acknowledges support from the Inter-University Centre for Astronomy and Astrophysics (IUCAA), Pune, India, under its Visiting Research Associateship Programme.
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Komathiraj, K., Sharma, R. Electromagnetic and anisotropic extension of a plethora of well-known solutions describing relativistic compact objects. Astrophys Space Sci 365, 181 (2020). https://doi.org/10.1007/s10509-020-03895-2
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DOI: https://doi.org/10.1007/s10509-020-03895-2