An Exact Solution of Perfect Fluid in Isotropic Coordinates, Compatible with Relativistic Modeling of Star
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We present a spherically symmetric solution of the general relativistic field equations in isotropic coordinates for perfect fluid, compatible with a super dense star modeling. The solution is well behaved for all the values of u lying in the range 0<u≤0.12. Further, we have constructed a super-dense star model with all degree of suitability and by assuming the surface density ρ b =2×1014 g/cm3. Corresponding to u=0.12, the resulting well behaved model has maximum mass M=0.912M Θ with radius R b ≈11.27 km and Moment of inertia 0.97×1045 gm cm2. The good matching of our results for Vela pulsars show the stoutness of our model.
KeywordsIsotropic coordinates General Relativity Einstein’s field equations Fluid ball
One of us (Neeraj Pant) is grateful to Air Marshal K.S. Gill AVSM YSM VM, the Commandant NDA Khadakwasla Pune for his motivation and encouragement. We are grateful to the anonymous referees for making constructive and relevant suggestions.
- 8.Kuchowicz, B.: Acta Phys. Pol. 34, 131 (1968) Google Scholar