General features of Bianchi-I cosmological models in Lovelock gravity

TL;DR

This paper derives and analyzes the equations of motion for Bianchi-I cosmological models in Lovelock gravity across arbitrary dimensions, highlighting differences between odd and even dimensions and exploring various cosmological regimes.

Contribution

It provides the first general derivation of equations of motion for Bianchi-I models in Lovelock gravity without specific assumptions on dimensions or order.

Findings

Distinct behavior in odd vs. even spatial dimensions.

Conditions for Kasner and Milne regimes derived.

Influence of perfect fluid matter discussed.

Abstract

We derived equations of motion corresponding to Bianchi-I cosmological models in the Lovelock gravity. Equations derived in the general case, without any specific ansatz for any number of spatial dimensions and any order of the Lovelock correction. We also analyzed the equations of motion solely taking into account the highest-order correction and described the drastic difference between the cases with odd and even numbers of spatial dimensions. For power-law ansatz we derived conditions for Kasner and generalized Milne regimes for the model considered. Finally, we discuss the possible influence of matter in the form of perfect fluid on the solutions obtained.