Mathematical Model of Relativistic Anisotropic Compact Stellar Model Admitting Linear Equation of State
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摘要:
In present paper,a static,spherically symmetric,anisotropic stellar object has been discussed by assuming a linear relationship between the matter density p and radial pressure pr.The interior solution is continuously matched with the exterior Schwarzschild vacuum solution at the junction interface.Various physical features viz.energy conditions,mass-radius relationship,stability are analyzed for our stellar model.By assigning some particular value to the arbitrary constants we have obtained a model of compact star of radius 6.7 km.and mass 1.148 M☉,which is very close to the observational data of the compact star Her X-1 proposed by Rawls et al.[Rawls,et al.,Astrophys.J.730 (2011) 25].We have obtained that the model satisfies all the regularity conditions.We have found that our proposed model is stable as well as singularity-free.