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Charges, conserved quantities and fluxes in de Sitter spacetime

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arxiv 2112.14210 v3 pith:F4EJ5SMX submitted 2021-12-28 hep-th gr-qc

Aaron Poole , Kostas Skenderis , Marika Taylor This is my paper · ORCID
classification hep-thgr-qc
keywords cauchychargessurfacesconservedfluxgravitationalotherquantities
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abstract

We discuss the definition of conserved quantities in asymptotically locally de Sitter spacetimes. One may define an analogue of holographic charges at future and past infinity and at other Cauchy surfaces $I_t$ as integrals over the intersection of timelike surfaces $C$ and the Cauchy surface $I_t$. In general, the charges $Q^t$ defined on the Cauchy surface $I_t$ depend on $C$, but if gravitational flux is absent the charges are independent of $C$. On the other hand, if there is a net gravitational flux entering or leaving the spacetime region bounded by $C_1, C_2$ and two Cauchy surfaces then $\Delta Q^t(C_1, C_2) = Q^t(C_1)-Q^t(C_2)$ changes by the same amount.

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Cited by 3 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. Gravitational Memory Beyond Null Infinity through Finite-Distance Carrollian Screens

    hep-th 2026-07 conditional novelty 6.0 of 10

    Finite-distance null screens carry a Carrollian memory whose leading tracefree large-radius part reproduces the standard Bondi displacement memory in Robinson–Trautman spacetimes.

  3. Field-dependent diffeomorphisms and the transformation of surface charges between gauges

    hep-th 2024-12 conditional novelty 6.0 of 10

    The Weyl charge in (A)dS3 gravity is kinematical: it can be toggled on or off by a field-dependent diffeomorphism between Bondi-Sachs and Fefferman-Graham gauges.

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