Possibility of Direct Measurement of the Acceleration of the Universe Using 0.1 Hz Band Laser Interferometer Gravitational Wave Antenna in Space

It may be possible to construct a laser interferometer gravitational wave antenna in space with $h_{\mathrm{rms}}\sim {10}^{-27\mathrm{}}$ at $f\sim 0.1\mathrm{Hz}$ in this century. Using this antenna, (1) typically ${10}^5$ chirp signals of coalescing binary neutron stars per year may be detected with $\mathrm{S}/\mathrm{N}\sim {10}^4$; (2) we can directly measure the acceleration of the universe by a 10 yr observation of binary neutron stars; and (3) the stochastic gravitational waves of ${\Omega }_{\mathrm{GW}}\gtrsim {10}^{-20\mathrm{}}$ predicted by the inflation may be detected by correlation analysis. Our formula for phase shift due to accelerating motion might be applied for binary sources of LISA.