Abstract
We review the current status of the astrophysics-originated gravitational wave astronomy and several cosmology-related science topics of the future spaceborne/ground-based gravitational wave observatory. Specifically, we highlight the gravitational lensing and gravitational wave sirens-related science cases. We first introduce several astrophysical gravitational wave sources, including the compact binary system (stellar black hole binary, and neutron star binary), continuous-wave sources (fast-spinning neutron star, and extreme mass ratio binary system), and the galactic white dwarf binary. Second, we review gravitational wave time-delay strong lensing, lensing magnification, wave-optics and the diffraction effect. Third, we mention the theoretical development of the luminosity distance space distortion effect. Finally, we discuss the electromagnetic counterpart, multi-messenger astronomy, and its cosmological application.
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