Abstract
We present a new class of solutions to the Einstein’s field equations corresponding to a static spherically symmetric anisotropic system by generalizing the ansatz of Finch and Skea [Class. Quantum Grav. 6:467, 1989] for the gravitational potential g rr . The anisotropic stellar model previously studied by Sharma and Ratanpal [Int. J. Mod. Phys. D 13:1350074, 2013] is a sub-class of the solutions provided here. Based on physical requirements, regularity conditions and stability, we prescribe bounds on the model parameters. By systematically fixing values of the model parameters within the prescribed bound, we demonstrate that our model is compatible with the observed masses and radii of a wide variety of compact stars like 4U 1820-30, PSR J1903+327, 4U 1608-52, Vela X-1, PSR J1614-2230, SAX J1808.4-3658 and Her X-1.
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Abubekerov, M.K., Antokhina, E.A., Cherepashchuk, A.M., Shimanskii, V.V.: Astron. Rep. 52, 379 (2008)
Banerjee, A., Rahaman, F., Jotania, K., Sharma, R., Karar, I.: Gen. Relativ. Gravit. 45, 717 (2013)
Bowers, R., Liang, E.: Astrophys. J. 188, 657 (1974)
Canuto, V.: Annu. Rev. Astron. Astrophys. 12, 167 (1974)
Delgaty, M.S.R., Lake, K.: Comput. Phys. Commun. 115, 395 (1998). doi:10.1016/s0010-4655(98)00130-1
Demorest, P.B., Pennucci, T., Ranson, S.M., Rpberts, M.S.E., Hessels, J.W.T.: Nature 467, 1081 (2010)
Dev, K., Gleiser, M.: Gen. Relativ. Gravit. 34, 1793 (2002)
Dev, K., Gleiser, M.: Gen. Relativ. Gravit. 35, 1435 (2003)
Dev, K., Gleiser, M.: Int. J. Mod. Phys. D 13, 1389 (2004)
Dey, M., Bombaci, I., Dey, J., Ray, S., Samanta, B.C.: Phys. Lett. B 438, 123 (1998)
Duorah, H.L., Ray, R.: Class. Quantum Gravity 4, 1691 (1987)
Elebert, P., et al.: Mon. Not. R. Astron. Soc. 395, 884 (2009)
Feroze, T., Siddiqui, A.A.: Gen. Relativ. Gravit. 43, 1025 (2011)
Finch, M.R., Skea, J.E.F.: Class. Quantum Gravity 6, 467 (1989)
Freire, P.C.C., et al.: Mon. Not. R. Astron. Soc. 412, 2763 (2011)
Gangopadhyay, T., Ray, S., Li, X.-D., Dey, J., Dey, M.: Mon. Not. R. Astron. Soc. 431, 3216 (2013)
Gokhroo, M.K., Mehra, A.L.: Gen. Relativ. Gravit. 26, 75 (1994)
Güver, T., Özel, F., Cabrera-Lavers, A., Wroblewski, P.: Astrophys. J. 712, 964 (2010)
Hansraj, S., Maharaj, S.D.: Int. J. Mod. Phys. D 8, 1311 (2006)
Heinzle, J.M., Röhr, N., Uggla, C.: Class. Quantum Gravity 20, 4567 (2003)
Herrera, L.: Phys. Lett. A 165, 206 (1992)
Kinasiewicz, B., Mach, P.: Acta Phys. Pol. B 38, 39 (2007)
Komathiraj, K., Maharaj, S.D.: Int. J. Mod. Phys. D 16, 1803 (2007)
Maharaj, S.D., Marteens, R.: Gen. Relativ. Gravit. 21, 899 (1989)
Maharaj, S.D., Takisa, P.M.: Gen. Relativ. Gravit. 44, 1419 (2012)
Maharaj, S.D., Takisa, P.M.: Gen. Relativ. Gravit. 45, 1951 (2013)
Malaver, M.: Am. J. Astron. Astrophys. 1, 41 (2013a)
Malaver, M.: World Appl. Program. 3, 309 (2013b)
Malaver, M.: Front. Math. Appl. 1, 9 (2014)
Nilsson, U.S., Uggla, C.: Ann. Phys. 286, 292 (2001)
Patel, L.K., Mehta, N.P.: J. Indian Math. Soc. 61, 95 (1995)
Paul, B.C., Chattopadhyay, P.K., Karmakar, S., Tikekar, R.: Mod. Phys. Lett. A 26, 575 (2011)
Rawls, M.L., Orosz, J.A., McClintock, J.E., Torres, M.A.P., Baliyn, C.D., Buxton, M.M.: Astrophys. J. 730, 25 (2011)
Ruderman, R.: Astron. Astrophys. 10, 427 (1972)
Sharma, R., Maharaj, S.D.: Mon. Not. R. Astron. Soc. 375, 1265 (2007)
Sharma, R., Ratanpal, B.S.: Int. J. Mod. Phys. D 13, 1350074 (2013)
Sunzu, J.M., Maharaj, S.D., Ray, S.: Astrophys. Space Sci. 352, 719 (2014)
Thirukkanesh, S., Maharaj, S.D.: Class. Quantum Gravity 25, 235001 (2008)
Thirukkanesh, S., Ragel, F.S.: Pramana J. Phys. 78, 687 (2012)
Thirukkanesh, S., Ragel, F.S.: Pramana J. Phys. 83, 83 (2014)
Thomas, V.O., Ratanpal, B.S.: Int. J. Mod. Phys. D 16, 9 (2007)
Thomas, V.O., Ratanpal, B.S., Vinodkumar, P.C.: Int. J. Mod. Phys. D 14, 85 (2005)
Tikekar, R., Jotania, K.: Gravit. Cosmol. 15, 129 (2009)
Tikekar, R., Thomas, V.O.: Pramāna 50, 95 (1998)
Tikekar, R., Thomas, V.O.: Pramāna 52, 237 (1999)
Tikekar, R., Thomas, V.O.: Pramāna 64, 5 (2005)
Varela, V., Rahaman, F., Ray, S., Chakraborty, K., Kalam, M.: Phys. Rev. D 82, 044052 (2010)
Acknowledgements
D.M.P. is obliged for the support from the Inter-University center for Astronomy and Astrophysics (IUCAA), Pune, India, where a part of this work was carried out. R.S. acknowledges support from the IUCAA, under its Visiting Research Associateship Programme. D.M.P. and V.O.T. thank B.S. Ratanpal for useful suggestions.
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Pandya, D.M., Thomas, V.O. & Sharma, R. Modified Finch and Skea stellar model compatible with observational data. Astrophys Space Sci 356, 285–292 (2015). https://doi.org/10.1007/s10509-014-2207-1
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DOI: https://doi.org/10.1007/s10509-014-2207-1