Scalar induced gravitational waves in PV symmetric teleparallel gravity with a non-minimally coupled boundary term

Abstract The question of whether parity violation occurs in gravitational interactions has recently attracted considerable attention. In this paper, we investigate the scalar induced gravitational waves (SIGWs) in symmetric teleparallel gravity incorporating a parity-violating (PV) term and a non-minimally coupled boundary term. The presence of this non-minimally coupled boundary term helps to avoid the strong coupling problem inherent in PV symmetric teleparallel gravity, thereby enabling our study of SIGWs in this PV symmetric teleparallel gravity. We numerically calculate the SIGWs generated during the radiation-dominated era and compute the corresponding energy density spectrum with a monochromatic primordial power spectrum. The resulting energy density spectrum of SIGWs exhibits significant deviations from the predictions of general relativity, particularly at high frequencies. This distinctive feature is detectable by future space-based gravitational wave detectors like LISA, TianQin, and Taiji.