Boosting gravitational waves: a review of kinematic effects on amplitude, polarization, frequency and energy density
arxiv(2024)
摘要
We review the kinematic effects on a gravitational wave due to either a
peculiar motion of the astrophysical source emitting it or a local motion of
the observer. We show, at fully non-linear order in velocity, that the
amplitude of the wave is amplified by the Doppler factor in the case in which
the source moves with respect to a reference frame, while it is invariant if
the observer moves (with respect to a reference observer). However, the
observed specific intensity transforms in the same way under a boost of the
source or of the observer. We also show at fully non-linear order that under a
boost (of either source or observer), the polarization tensor is rotated in the
same way the wave direction is rotated by aberration, such that the only net
effect of a boost on polarization is to change the phase of the helicity
components. We apply these results to a wave emitted by a binary system of
compact objects in the cosmological context.
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