Torsion bar antenna in the proper reference frame with rotation

摘要

The resultant response of the rotating torsion bar antenna for gravitationalwaves discussed in [M. Ando et al., Phys. Rev. Lett. {\bf 105} (2010), 161101.]is re-investigate from a general-relativistic point of view. To do this, theequation of motion of a free falling particle in the proper reference frame ofa rotating observer is used. As a result, the resultant response derived in theabove paper is also valid even when $\omega_{g}\sim\Omega$, where $\omega_{g}$and $\Omega$ are the angular frequencies of gravitational waves and therotation of the antenna, respectively.