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Hamiltonian charges in the asymptotically de Sitter spacetimes

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arxiv 2103.14674 v1 pith:35E4DUCJ submitted 2021-03-26 gr-qc hep-th

classification gr-qchep-th
keywords asymptoticallychargessitterspacetimesambiguousangularapproacharound
verification ladder T0 review T1 audit T2 compute T3 formal

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abstract

We generalize a notion of 'conserved' charges given by Wald and Zoupas to the asymptotically de Sitter spacetimes. Surprisingly, our construction is less ambiguous than the one encountered in the asymptotically flat context. An expansion around exact solutions possessing Killing vectors provides their physical meaning. In particular, we discuss a question of how to define energy and angular momenta of gravitational waves propagating on Kottler and Carter backgrounds. We show that obtained expressions have a correct limit as $\Lambda \to 0$. We also comment on the relation between this approach and the one based on the canonical phase space of initial data at $\mathcal{I}^+$.

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Cited by 1 Pith paper

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.

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