Toy models of compact anisotropic stars and their Love numbers

Abstract

In this paper, we investigate the influence of tidal Love numbers on the equation-of-state (EoS) governing the interior matter distribution of a compact star within the framework of classical general relativity. By invoking a linear EoS for a spherically symmetric anisotropic matter configuration, we solve the Einstein field equations for an arbitrary EoS parameter. We subject our m[Formula: see text]odel to rigorous regularity, causality, and stability tests. In particular, we show that our model gives a very good approximation of the pulsar 4U 1608–52. We further demonstrate the intrinsic connection between the EoS parameter which describes the nature of the matter making up the stellar fluid and the tidal Love numbers.