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On the canonical energy of weak gravitational fields with a cosmological constant $\Lambda \in \mathbb{R}$

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arxiv 2103.05982 v2 pith:ZIKCDHH7 submitted 2021-03-10 gr-qc hep-th

P.T. Chruściel , Sk J. Hoque , M. Maliborski , T. Smo{l}ka This is my paper · ORCID
classification gr-qchep-th
keywords energycanonicalfieldsgaugegravitationallambdarenormalisedsitter
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abstract

We analyse the canonical energy of vacuum linearised gravitational fields on light cones on a de Sitter, Minkowski, and Anti de Sitter backgrounds in Bondi gauge. We derive the associated asymptotic symmetries. When $\Lambda>0$ the energy diverges, but a renormalised formula with well defined flux is obtained. We show that the renormalised energy in the asymptotically off-diagonal gauge coincides with the quadratisation of the generalisation of the Trautman-Bondi mass proposed in [13].

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. The $SO(1,4)$ flux-balance laws of de Sitter at quadrupolar order

    gr-qc 2024-11 conditional novelty 7.0 of 10

    All ten SO(1,4) flux-balance laws for quadrupolar perturbations around de Sitter are derived, including new linear momentum and boost formulas, and the flat limit is recovered.

  2. Octupolar Gravitational Radiation in de Sitter Spacetime

    gr-qc 2026-08 conditional novelty 6.0 of 10

    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.

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