When the regularized Lovelock tensors are kinetically coupled to scalar field

TL;DR

This paper explores a new class of scalar field models coupled to regularized Lovelock tensors, which could serve as potential candidates for explaining cosmic dark energy due to their second-order equations of motion.

Contribution

It introduces a kinetic coupling between regularized Lovelock tensors and scalar fields, maintaining second-order equations of motion, and identifies the p=3 case as a dark energy candidate.

Findings

Second-order equations of motion are preserved.

The p=3 regularized Lovelock tensor coupled to scalar fields can model dark energy.

Potential implications for cosmology and dark energy research.

Abstract

The recently proposed regularized Lovelock tensors are kinetically coupled to the scalar field. The resulting equation of motion is second order. In particular, it is found that when the $p=3$ regularized Lovelock tensor is kinetically coupled to the scalar field, the scalar field is the potential candidate of cosmic dark energy.