A new class of analytical solutions describing anisotropic neutron stars in general relativity
Abstract
A new class of solutions describing analytical solutions for compact stellar structures has been developed within the tenets of General Relativity. Considering the inherent anisotropy in compact stars, a stable and causal model for realistic anisotropic neutron stars was obtained using the general theory of relativity. Assuming a physically acceptable nonsingular form of one metric potential and radial pressure containing the curvature parameter R, the constant k and the radius r, analytical solutions to Einstein’s field equations for anisotropic matter distribution were obtained. Taking the value of k as −0.44, it was found that the proposed model obeys all necessary physical conditions, and it is potentially stable and realistic. The model also exhibits a linear equation of state, which can be applied to describe compact stars.
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