The metric perturbation from a localized source in de Sitter spacetime is derived at octupolar order in generalized harmonic gauge, including the cosmological tail, the first extension beyond quadrupole order.
Linearized gravitational waves in de Sitter space-time
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abstract
This is a brief note on a recently flagged issue \cite{CHK} regarding the precise characterization of quadrupolar truncation of the linearized gravitational waves in de Sitter space-time. An apparent inconsistency was noted while transforming the linearized solution truncated to quadrupolar contribution to the Bondi-Sachs form. A consistent truncation was identified as one where the transformation of the truncated solution does not generate logarithmic terms inadmissible in the Bondi-Sachs asymptotic form. I point out the role of the gauge conditions and the solution of the homogeneous equation in obviating the apparent inconsistency issue.
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Octupolar Gravitational Radiation in de Sitter Spacetime
The metric perturbation from a localized source in de Sitter spacetime is derived at octupolar order in generalized harmonic gauge, including the cosmological tail, the first extension beyond quadrupole order.