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Symmetries of the asymptotically de Sitter spacetimes

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arxiv 2205.14093 v1 pith:4IIVC24E submitted 2022-05-27 gr-qc

Wojciech Kamiński , Maciej Kolanowski , Jerzy Lewandowski This is my paper · ORCID
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keywords sitterasymptoticallyconformalequationskillingmathcalpossiblethey
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abstract

We start a systematic investigation of possible isometries of the asymptotically de Sitter solutions to Einstein equations. We reformulate the Killing equation as conformal equations for the initial data at $\mathcal{I}^+$. This allows for partial classification of possible symmetry algebras. In particular, if they are not maximal, they may be at most $4$-dimensional. We provide several examples. As a simple collorary it is shown that the only spacetime in which the Killing horizon intersects $\mathcal{I}^+$ (after a conformal completion) is locally the de Sitter universe.

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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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