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.
Hamiltonian charges on light cones for linear field theories on (A)dS backgrounds
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abstract
We analyse the Noether charges for scalar and Maxwell fields on light cones on a de Sitter, Minkowski, and anti-de Sitter backgrounds. Somewhat surprisingly, under natural asymptotic conditions all charges for the Maxwell fields on both the de Sitter and anti-de Sitter backgrounds are finite. On the other hand, one needs to renormalise the charges for the conformally-covariant scalar field when the cosmological constant does not vanish. In both cases well-defined renormalised charges, with well-defined fluxes, are obtained. Again surprisingly, a Hamiltonian analysis of a suitably rescaled scalar field leads to finite charges, without the need to renormalise. Last but not least, we indicate natural phase spaces where the Poisson algebra of charges is well defined.
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gr-qc 1years
2026 1verdicts
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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.