Scalar induced gravitational waves in f(R) gravity
Abstract
We investigate the first and second order cosmological perturbation equations in f(R) modified gravity theory and provide the equation of motion of second order scalar induced gravitational waves. We find that the effects of modified gravity not only change the form of the equation of motion of second order scalar induced gravitational waves but also contribute an additional anisotropic stress tensor, composed of first order scalar perturbations, to the source term of the gravitational waves. We calculate the energy density spectrum of second order scalar induced gravitational waves in the HS model. Utilizing current pulsar timing array observational data, we perform a rigorous Bayesian analysis of the parameter space of the HS model.
Keywords
Cite
@article{arxiv.2409.07702,
title = {Scalar induced gravitational waves in f(R) gravity},
author = {Jing-Zhi Zhou and Yu-Ting Kuang and Di Wu and Fei-Yu Chen and H. Lü and Zhe Chang},
journal= {arXiv preprint arXiv:2409.07702},
year = {2024}
}
Comments
Accepted for publication in JCAP on 2024 November 11