Mass octupole and current quadrupole corrections to gravitational wave emission from close hyperbolic encounters
arxiv(2023)
摘要
In this paper, we study the next-to-leading order corrections in the mass
multipole expansion, i.e. the mass octupole and current quadrupole, to
gravitational wave production by close hyperbolic encounters of compact
objects. We find that the signal is again, as in the simple quadrupole case, a
burst event with the majority of the released energy occurring during the
closest approach. In particular, we investigate the relative contribution to
the power, both in the time and frequency domains, and total energy emitted by
each order in the mass multipole expansion in gravitational waves. To do so, we
include in the quadrupole term its first order post-Newtonian correction,
giving this a contribution to the power of the same order as that of the mass
octupole and the current quadrupole. We find specific configurations of systems
where these corrections could be important and should be taken into account
when analysing burst events.
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