Numerical Analysis of Non-minimal Coupling and Non-minimal Derivative Coupling Models using Direct Random Method

Abstract

In this work, we studied classes of Horndeski theory, specifically the Non-minimal Derivative Coupling (NMDC) ‘model and Non-minimal Coupling (NMC) model, against the observation of gravitational waves using the numerical framework given by Arai and Nishizawa. The framework takes randomized set of parameters of the theory, filters results that disagree with the late-time evolution of the universe and the stability condition, and outputs observable quantities of gravitational waves (GW) that were then compared to the quantities obtained from observational data of gravitational waves detection.