Generalized Pure Lovelock Gravity

TL;DR

This paper generalizes pure Lovelock gravity to higher dimensions using an enlarged Lorentz symmetry, introduces an alternative cosmological term, and recovers standard pure Lovelock gravity in the absence of matter.

Contribution

It proposes a new generalized framework for Lovelock gravity with an enlarged symmetry and a novel cosmological term, extending previous models.

Findings

Pure Lovelock gravity is recovered without matter.

Explicit analysis of five and six-dimensional cases.

Introduces an alternative cosmological term.

Abstract

We present a generalization of the n-dimensional (pure) Lovelock Gravity theory based on an enlarged Lorentz symmetry. In particular, we propose an alternative way to introduce a cosmological term. Interestingly, we show that the usual pure Lovelock gravity is recovered in a matter-free configuration. The five and six-dimensional cases are explicitly studied.