Abstract
The superdense stars with mass-to-size ratio exceeding 0.3 are expected to be made of strange matter. Assuming that the 3-space of the interior space-time of a strange star is that of a three-paraboloid immersed in a four-dimensional Euclidean space, we obtain a two-parameter family of their physically viable relativistic models. This ansatz determines density distribution of the interior self-gravitating matter up to one unknown parameter. The Einstein’s field equations determine the fluid pressure and the remaining geometrical variables. The information about mass-to-size ratio together with the conventional boundary conditions lead to the determination of total mass, radius and other parameters of the stellar configuration.
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References
A R Bodmer, Phys. Rev. D4, 1601 (1971)
E Witten, Phys. Rev. D30, 272 (1984)
I Bombaci, Phys. Rev. C55, 1587 (1997)
X D Li, I Bombaci, Mira Dey and E P J van den Heuvel, Phys. Rev. Lett. 83, 3776 (1999)
P C Vaidya and R Tikekar, J. Astrophys. Astr. 3, 325 (1982)
R Tikekar, J. Math. Phys. 31, 2454 (1990)
H Knutsen, Mon. Not. R. Astron. Soc. 232, 163 (1988)
S D Maharaj and P G L Leach, J. Math. Phys. 37, 430 (1996)
S Mukherjee, N Dadhich and B C Paul, Class. Quantum Gravitat. 14, 3475 (1997)
Y K Gupta and M K Jassim, Astrophys. Sp. Sci. 272, 403 (2000)
R Sharma and S Mukherjee Mod. Phys. Lett. A16, 049 (2001)
R Sharma, S Mukherjee and S D Maharaj, Mod. Phys. Lett. A15, 1341 (2000)
R Sharma, S Mukherjee, Mira Dey and Jishnu Dey, Mod. Phys. Lett. A17, 827 (2002)
Ramesh Tikekar and Kanti Jotania, Int. J. Mod. Phys. D14, 1037 (2005)
R Tikekar and V O Thomas, Pramana — J. Phys. 50, 95 (1998)
M R Finch and J E K Skea, Class. Qunantum Gravitat. 6, 467 (1989)
J D Walecka, Phys. Lett. B59, 109 (1975)
Kanti Jotania and Ramesh Tikekar, Int. J. Mod. Phys. D15, 1175 (2006)
L Shapiro Stuart and A Teukolsky Saul, Black holes, white dwarfs and neutron stars: The physics of compact objects (John Wiley, New York, 1983)
T Shahbaz, J Casares, C A Watson, P A Charles, R I Hynes, S C Shih and D Steeghs, Astrophys. J. 616, L123 (2004)
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Tikekar, R., Jotania, K. On relativistic models of strange stars. Pramana - J Phys 68, 397–406 (2007). https://doi.org/10.1007/s12043-007-0043-3
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DOI: https://doi.org/10.1007/s12043-007-0043-3