Cosmological aspects of cubic Galileon massive gravity

TL;DR

This paper explores the cosmological implications of cubic Galileon massive gravity, demonstrating its consistency with supernova observations and gravitational wave data, and analyzing its potential to explain the universe's accelerated expansion.

Contribution

It provides a detailed analysis of cosmological solutions in cubic Galileon massive gravity and compares predictions with observational data, highlighting its viability as a modified gravity model.

Findings

Cubic Galileon massive gravity can produce self-accelerating solutions.

The model's predictions align with supernova and gravitational wave observations.

Tensor perturbations in the model are consistent with current observational constraints.

Abstract

Cubic Galileon massive gravity is a development of de Rham-Gabadadze-Tolly (dRGT) massive gravity theory is which the space of the Stueckelberg field is broken. We consider the cubic Galileon term as a scalar field coupled to the graviton filed. We present a detailed study of the cosmological aspects of this theory of gravity. We analyze self-accelerating solutions of the background equations of motion to explain the accelerated expansion of the Universe. Exploiting the latest Union2 Type Ia Supernovea (SNIa) dataset, which consists of 557 SNIa, we show that cubic Galileon massive gravity theory is consistent with the observations. We also examine the tensor perturbations within the framework of this model and find an expression for the dispersion relation of gravitational waves, and show that it is consistent with the observational results.