Tidal love number of a static spherically symmetric anisotropic compact star

TL;DR

This paper calculates the tidal love number of anisotropic compact stars to understand how anisotropy and compactness influence their deformation under external gravitational fields.

Contribution

It introduces a method to compute the tidal love number for anisotropic stars and analyzes the effects of anisotropy and compactness on this parameter.

Findings

Anisotropy significantly affects the tidal love number.

Higher compactness leads to increased tidal deformability.

The results provide insights into the internal structure of neutron stars.

Abstract

Tidal deformability of a coalescing neutron star subjected to an external tidal field plays an important role in our probe for the structure and properties of compact stars. In particular, the tidal love number provides valuable information about the external gravitational field responsible for deforming the star. In this article, we compute the tidal love number of a particular class of anisotropic stars and analyze the impacts of anisotropy and compactness on the tidal love number.