Numerical Analysis of Non-minimal Derivative Coupling and Non-minimal Coupling Theory using Monte Carlo Method Muhammad Baharuddin Rusyda (a*), Agus Suroso (a), Wahyu Hidayat (a)
a) Theoretical Physics Laboratory, THEPI Division, Faculty of Mathematics and Natural Sciences, Institut Teknologi Bandung, Jl. Ganesha 10 Bandung 40132, Indonesia
*rusyda[at]students.itb.ac.id
Abstract
In this work, we studied classes of Horndeski theory, specifically the Non-minimal Derivative Coupling (NMDC) theory and Non-minimal Coupling theory, 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 that were then compared to the quantities obtained from observational data of gravitational waves detection. Preliminary analysis of approximately 2000 sets of parameters of the NMDC and Non-minimal coupling theories showed significant deviation of gravitational wave speed from the speed of light.
Keywords: Gravitational waves- Modified gravity- Horndeski theory- Monte Carlo method
