Anisotropic compact star with a linear pressure-density relationship

TL;DR

This paper develops an anisotropic compact star model within General Relativity, demonstrating its physical viability, stability, and calculating the Tidal Love Number, with application to a specific LMXB candidate.

Contribution

It introduces a new anisotropic extension of the Tolman IV solution and verifies its physical and stability properties for realistic compact stars.

Findings

Model satisfies physical conditions for compact stars

Stability analysis confirms the model's robustness

Computed Tidal Love Number aligns with existing literature

Abstract

We present a model of compact astrophysical object under General Theory of Relativity using the anisotropic extension of Tolman IV solution. The anisotropy function, derived from the model, remains well behaved throughout the interior of the star. The model satisfies several necessary conditions for a physically realistic compact star. Physical viability of the model is verified specifically by plugging in the estimated parameter values of the Low Mass X-ray Binary (LMXB) candidate 4U 1608 - 52. Our stability analysis of this star, by using various criteria for stability, provide satisfactory results. In connection to anisotropy, we compute the Tidal Love Number (TLN) for the compact stellar model and compare the calculated values with existing literature.