A new well behaved exact solution in general relativity for perfect fluid |
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| Authors: | Neeraj Pant Pratibha Fuloria B C Tewari |
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| Institution: | (1) Maths Dept., National Defence Academy Khadakwasla, Pune, India;(2) Physics Dept., S.S.J.Campus Almora, Almora, India;(3) Maths Dept., S.S.J.Campus Almora, Almora, India |
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| 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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| Keywords: | |
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