Towards resolution of anisotropic cosmological singularity in infinite derivative gravity

TL;DR

This paper demonstrates that a specific ghost-free infinite derivative gravity theory prevents anisotropic collapse in a homogeneous universe, offering insights into resolving cosmological singularities.

Contribution

It shows that the equations of motion in this gravity theory prohibit anisotropic collapse for Kasner-type vacuum solutions, advancing understanding of singularity resolution.

Findings

Anisotropic collapse is forbidden in the theory for Kasner solutions.

The theory remains ghost-free and quadratic in curvature.

Provides a potential pathway to resolving cosmological singularities.

Abstract

In this paper, we will show that the equations of motion of the quadratic in curvature, ghost free, infinite derivative theory of gravity will not permit an anisotropic collapse of a homogeneous Universe for a Kasner-type vacuum solution.