Abstract
A class of general relativistic solutions in isotropic spherical polar coordinates which describe compact stars in hydrostatic equilibrium are discussed. The stellar models obtained here are characterized by four parameters, namely, λ, k, A and R of geometrical significance related to the inhomogeneity of the matter content of the star. The stellar models obtained using the solutions are physically viable for a wide range of values of the parameters. The physical features of the compact objects taken up here are studied numerically for a number of admissible values of the parameters. Observational stellar mass data are used to construct suitable models of the compact stars.
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References
P C Vaidya and R Tikekar, J. Astrophys. Astr. 3, 325 (1982)
D N Pant and A Sah, Phys. Rev . D32, 1358 (1985)
R Tikekar, J. Math Phys. 31, 2454 (1990)
M R Finch and J E K Skea, Class. Quant. Grav it. 6, 46 (1989)
S D Maharaj and P G L Leach, J. Math. Phys. 37, 430 (1996)
S Mukherjee, B C Paul and N Dadhich, Class. Quant. Grav it. 14, 3474 (1997)
R Tikekar and V O Thomas, Pramana – J. Phys. 50, 95 (1998)
Y K Gupta and M K Jassim, Astrophys. Space Sci. 272, 403 (2000)
R Tikekar and K Jotania, Int. J. Mod. Phys. D14, 1037 (2005)
K Jotania and R Tikekar, Int. J. Mod. Phys. D15, 1175 (2006)
J V Narlikar, Introduction to relativity (Cambridge University Press, 2010)
J Lattimer, http://stellarcollapse.org/nsmasses (2010)
M Dey, I Bombaci, J Dey, S Ray and B C Samanta, Phys. Lett. B438, 123 (1998); Addendum, 447, 352 (1999); Erratum, 467, 303 (1999)
X D Li, I Bombaci, M Dey, J Dey and E P J Van del Heuvel, Phys. Rev . Lett. 83, 3776 (1999)
R Sharma, S Mukherjee, M Dey and J Dey, Mod. Phys. Lett. A17, 827 (2002)
R Sharma and S D Maharaj, Mon. Not. R. Astron. Soc. 375, 1265 (2007)
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DEB, R., PAUL, B.C. & TIKEKAR, R. Relativistic models of a class of compact objects. Pramana - J Phys 79, 211–222 (2012). https://doi.org/10.1007/s12043-012-0305-6
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DOI: https://doi.org/10.1007/s12043-012-0305-6