Cosmological perturbations in Gauss-Bonnet quasi-dilaton massive gravity

TL;DR

This paper explores a modified gravity theory with a graviton mass, analyzing cosmological solutions, perturbations, and gravitational wave properties within the Gauss-Bonnet quasi-dilaton framework.

Contribution

It provides the first comprehensive cosmological analysis of Gauss-Bonnet quasi-dilaton massive gravity, including background solutions and perturbation behavior.

Findings

Derived self-accelerating solutions with parameter constraints

Calculated graviton mass and gravitational wave dispersion relations

Analyzed gravitational perturbation propagation in FLRW cosmology

Abstract

We present the cosmological analysis of the Gauss-Bonnet quasi-dilaton massive gravity theory. This offers a gravitational theory with a non-zero graviton mass. We calculate the complete set of background equations of motion. Also, we obtain the self-accelerating background solutions and we present the constraints on parameters to indicate the correct sign of parameters. In addition, we analyse tensor perturbations and calculate the mass of graviton and find the dispersion relation of gravitational waves for two cases. Finally, we investigate the propagation of gravitational perturbation in the FLRW cosmology in the Gauss-Bonnet quasi-dilaton massive gravity.