Evolution of Gravitational Waves in Non-minimal Coupling Between Geometry and Matter Theories of Gravity

TL;DR

This paper investigates how gravitational waves evolve in non-minimal matter-geometry coupling theories of gravity, revealing that their amplitude and frequency decay over time with rates influenced by model parameters.

Contribution

It introduces specific non-minimal matter-geometry coupling models and analyzes gravitational wave propagation within a flat FRW universe framework.

Findings

GW amplitude and frequency decay over time in all models

Decay rates depend on the equation of state parameter

Decay rates are sensitive to model input parameters

Abstract

We consider some specific models of non-minimal matter-geometry coupling theories and investigate the propagation of the gravitational waves in them. Extracting the temporal evolution of the gravitational wave equation within the framework of a flat FRW universe with a perfect fluid distribution, we analyze the waveforms traveling during the time. We find that while both the amplitude and frequency of the GWs decay with time in all considered models, the rate of reduction is highly sensitive to the values of the equation of state parameter and input parameters of the considered models.