Cosmological Study in Myrzakulov $F(R, T)$ Quasi-dilaton Massive Gravity

TL;DR

This paper investigates the cosmological implications of the Myrzakulov F(R, T) quasi-dilaton massive gravity theory, demonstrating its ability to explain accelerated cosmic expansion without dark energy and analyzing gravitational wave properties.

Contribution

It introduces the Myrzakulov F(R, T) quasi-dilaton massive gravity model, showing its self-accelerating solutions and novel gravitational wave dispersion relations.

Findings

The theory can explain accelerated expansion without dark energy.

Existence of self-accelerating solutions in the model.

Derived new gravitational wave dispersion relation.

Abstract

This study explores the cosmological implications of the Myrzakulov $F(R, T)$ quasi-dilaton massive gravity theory, a modification of the de Rham-Gabadadze-Tolley (dRGT) massive gravity theory. Our analysis focuses on the self-accelerating solution of the background equations of motion, which are shown to exist in the theory. Notably, we find that the theory features an effective cosmological constant corresponding to the massive graviton, which has important implications for our understanding of the universe's accelerated expansion. To assess the validity of the Myrzakulov $F(R, T)$ quasi-dilaton massive gravity theory, we employ two datasets: the Union2 Type Ia Supernovae (SNIa) dataset, consisting of 557 observations, and the Pantheon SNIa data, which includes 1048 SNe I-a events gathered from diverse SN I-a samples. Our results demonstrate that the theory is capable of explaining the accelerated expansion of the universe without requiring the presence of dark energy. This finding supports the potential of the Myrzakulov $F(R, T)$ quasi-dilaton massive gravity theory as an alternative explanation for the observed cosmic acceleration. Moreover, we investigate the properties of tensor perturbations within the framework of this theory and derive a novel expression for the dispersion relation of gravitational waves. Our analysis reveals interesting features of the modified dispersion relation in the Friedmann-Lema\^itre-Robertson-Walker (FLRW) cosmology, providing new insights into the nature of gravitational waves in the context of the Myrzakulov $F(R, T)$ quasi-dilaton massive gravity theory.