Abstract
We present a new spherically symmetric solution of the general relativistic field equations in isotropic coordinates. The solution is having positive finite central pressure and positive finite central density. The ratio of pressure and density is less than one and casualty condition is obeyed at the centre. Further, the outmarch of pressure, density and pressure-density ratio, and the ratio of sound speed to light is monotonically decreasing. The solution is well behaved for all the values of u lying in the range 0<u≤.186. The central red shift and surface red shift are positive and monotonically decreasing. Further, we have constructed a neutron star model with all degree of suitability and by assuming the surface density ρ b =2×1014 g/cm3. The maximum mass of the Neutron star comes out to be M=1.591 M Θ with radius R b ≈12.685 km. The most striking feature of the solution is that the solution not only well behaved but also having one of the simplest expressions so far known well behaved solutions. Moreover, the good matching of our results for Vela pulsars show the robustness of our model.
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Adler, R.J.: J. Math. Phys. 15, 727 (1974)
Bejger, M., Haensel, P.: Astron. Astrophys. 396, 917 (2002)
Canuto, V., Lodenquai, J.: Phys. Rev. C 12, 2033 (1975)
Delgaty, M.S.R., Lake, K.: Comput. Phys. Commun. 115, 395 (1998)
Durgapal, M.C.: J. Phys. A, Math. Gen. 15, 2637 (1982)
Finch, M., Skea, J.E.F.: Class. Quantum Gravity 4, 467 (1989)
Goldman, S.P.: Astrophys. J. 226, 1079 (1978)
Heintzmann, H.: Z. Phys. 228, 489 (1969)
Kuchowicz, B.: Acta Phys. Pol. 34, 131 (1968)
Matese, J.J., Whitman, P.G.: Phys. Rev. D, Part. Fields 22, 1270 (1980)
Maurya, S.K., Gupta, Y.K.: Astrophys. Space Sci. 334, 145 (2011). doi:10.1007s10509-011-0705-y
Mehra, A.L.: J. Aust. Math. Soc. 6, 153 (1966)
Nariai: Sci. Rep. Tohoku Univ., Ser. 1 34, 160 (1950)
Pant, N.: Astrophys. Space Sci. 331, 633 (2011)
Pant, N., Negi, P.S.: Astrophys. Space Sci. 338, 163 (2012)
Pant, N., et al.: Astrophys. Space Sci. 330, 353 (2010)
Pant, N., Maurya, S.K.: Appl. Math. Comput. 218, 8260 (2012). doi:10.1016/j.amc.2012.01.044
Patvardhav, Vaidya: J. Univ. Bombay 12(Part III), 23 (1943)
Tolman, R.C.: Phys. Rev. 55, 364 (1939)
Acknowledgements
One of us (Neeraj Pant) acknowledges his gratitude to Lt. Gen. Jatinder Singh AVSM**, SM, Comdt, NDA for his motivation and encouragement. Neeraj Pant also extends his gratitude to Prof. O.P. Shukla, Principal NDA, for his encouragement.
Authors are grateful to the anonymous referee for his relevant suggestions.
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Pant, N., Fuloria, P. & Tewari, B.C. A new well behaved exact solution in general relativity for perfect fluid. Astrophys Space Sci 340, 407–412 (2012). https://doi.org/10.1007/s10509-012-1068-8
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DOI: https://doi.org/10.1007/s10509-012-1068-8