Physical Implications of Pure Lovelock Geometry on Stellar Structure

TL;DR

This paper explores how pure Lovelock gravity influences stellar structure, showing that higher curvature effects lead to lower densities and pressures, and affects the star's stability and moment of inertia compared to Einstein gravity.

Contribution

It presents an exact anisotropic star model within pure Lovelock gravity, comparing it to Einstein models and analyzing the effects of higher curvature terms on stellar properties.

Findings

Lovelock effects reduce densities and pressures in stellar models.

Maximum moment of inertia occurs in Einstein gravity, indicating softer equations of state with Lovelock.

The model passes various stability tests, confirming its physical plausibility.

Abstract

We construct an exact anisotropic star model with a linear barotropic equation of state and with Finch-Skea potential within the framework of pure Lovelock gravity. A comparison with the corresponding Einstein model in a suitable limit is easily deduced. Evidently higher curvature effects induced by the Lovelock contributions generate lower densities, pressures, surface tensions and anisotropy factors when compared to its Einstein counterpart. The maximum moment of inertia is attained for the Einstein case and hence it may be inferred that Lovelock effects soften the equation of state. The model satisfies various stability tests.