Higher dimensional nonlinear massive gravity

TL;DR

This paper extends ghost-free nonlinear massive gravity to higher dimensions, demonstrating constant-like graviton behavior in key metrics and exploring simple cosmological solutions in five dimensions.

Contribution

It introduces a higher-dimensional framework for nonlinear massive gravity and analyzes its behavior in well-known metrics, providing new cosmological solutions.

Findings

Massive graviton terms exhibit constant-like behavior in certain metrics.

Consistent cosmological solutions are found in five-dimensional massive gravity.

The framework extends ghost-free massive gravity to higher dimensions.

Abstract

Inspired by a recent ghost-free nonlinear massive gravity in four-dimensional spacetime, we study its higher dimensional scenarios. As a result, we are able to show the constant-like behavior of massive graviton terms for some well-known metrics such as the Friedmann-Lemaitre-Robertson-Walker, Bianchi type I, and Schwarzschild-Tangherlini-(A)dS metrics in a specific five-dimensional nonlinear massive gravity under an assumption that its fiducial metrics are compatible with physical ones. In addition, some simple cosmological solutions of the five-dimensional massive gravity will be figured out consistently.