Abstract
We extend the work of Thirukkanesh and Maharaj (Class Quantum Gravity 25:235001, 2007) by considering quadratic equation of state for the matter distribution to study the general situation of a compact relativistic body. Presence of electromagnetic field and anisotropy in the pressure are also assumed. Some new classes of static spherically symmetrical models of relativistic stars are obtained. All the results given in Thirukkanesh and Maharaj (Class Quantum Gravity 25:235001, 2007) and there in can also be recovered as a particular case of our work.
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Thirukkanesh S., Maharaj S.D.: Class. Quantum Gravity 25, 235001 (2008)
Ruderman R.: Ann. Rev. Astron. Astrophys. 10, 427 (1972)
Sawyer R.F.: Phys. Rev. Lett. 29, 382 (1972)
Bowers R.L., Liang E.P.T.: Astrophys. J. 188, 657 (1974)
Letelier P.: Phys. Rev. D 22, 807 (1980)
Sokolov A.I.: JETP 79, 1137 (1980)
Binney J., Tremaine J.S.: Galactic Dynamics. Princeton University Press, Princeton (1987)
Kippenhahn R., Weigert A.: Stellar Structure and Evolution. Springer, Berlin (1990)
Herrera L., Santos N.O.: Astrophys. J. 438, 308 (1995)
Weber F.: Pulsars as Astrophysical Observatories for Nuclear and Particle Physics. IOP Publishing, Bristol (1999)
Lobo F.S.N.: Class. Quantum Gravity 23, 1525 (2006)
Sharma R., Maharaj S.D.: Mon. Not. R. Astron. Soc. 375, 1265 (2007)
Patel L.K., Koppar S.K.: Aust. J. Phys. 40, 441 (1987)
Tikekar R., Singh G.P.: Gravit. Cosmol. 4, 294 (1998)
Sharma R., Mukherjee S.: Mod. Phys. Lett. A 16, 1049 (2001)
Sharma R., Mukherjee S., Maharaj S.D.: Gen. Relativ. Gravit. 33, 999 (2001)
Sharma R., Mukherjee S.: Mod. Phys. Lett. A 17, 2535 (2002)
Ivanov B.V.: Phys. Rev. D 65, 104001 (2002)
Gupta Y.K., Kumar M.: Gen. Relativ. Gravit. 37, 233 (2005)
Sharma R., Karmakar S., Mukherjee S.: Int. J. Mod. Phys. D 15, 405 (2006)
Thirukkanesh S., Maharaj S.D.: Class. Quantum Gravity 23, 2697 (2006)
Komathiraj K., Maharaj S.D.J.: Math. Phys. 48, 042501 (2007)
Tikekar R., Thomas V.O.: Pramana J. Phys. 50, 95 (1998)
Thomas V.O., Ratanpal B.S., Vinodkumar P.C.: Int. J. Mod. Phys. D 14, 85 (2005)
Paul B.C., Tikekar R.: Gravit. Cosmol. 11, 244 (2005)
Witten E.: Phys. Rev. D 30, 272 (1984)
Mak M.K., Harko T.: Int. J. Mod. Phys. D 13, 149 (2004)
Komathiraj K., Maharaj S.D.: Int. J. Mod. Phys. D 16, 1803 (2007)
Nojiri S., Odintsov S.D.: Phys. Rev. D 72, 023003 (2005)
Ananda K., Bruni M.: Phys. Rev. D 74, 023523 (2006)
Capozziello S., Cardone V., Elizalde E., Nojiri S., Odintsov S.D.: Phys. Rev. D 73, 043512 (2006)
Durgapal M.C., Bannerji R.: Phys. Rev. D 27, 328 (1983)
Wainwright J., Ellis G.F.R.: Dynamical Systems in Cosmology. Cambridge University Press, London (1997)
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Feroze, T., Siddiqui, A.A. Charged anisotropic matter with quadratic equation of state. Gen Relativ Gravit 43, 1025–1035 (2011). https://doi.org/10.1007/s10714-010-1121-2
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DOI: https://doi.org/10.1007/s10714-010-1121-2