Charges, conserved quantities and fluxes in de Sitter spacetime

Skenderis, Kostas, Taylor, Marika and Poole, Aaron D (2022) Charges, conserved quantities and fluxes in de Sitter spacetime. Physical Review D, 106 (6), [L061901]. (doi:10.1103/PhysRevD.106.L061901).

Record type: Article

Abstract

We discuss the definition of conserved quantities in asymptotically locally de Sitter spacetimes. One may define an analog of holographic charges at future and past infinity and at other Cauchy surfaces It as integrals over the intersection of timelike surfaces C and the Cauchy surface It. In general, the charges Qt defined on the Cauchy surface It 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 C1, C2 and two Cauchy surfaces then ΔQt(C1,C2)=Qt(C1)-Qt(C2) changes by the same amount.

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Accepted/In Press date: 20 August 2022

Published date: 8 September 2022

Additional Information: Funding Information: K. S. and M. T. acknowledge support from the Science and Technology Facilities Council (Consolidated Grant “Exploring the Limits of the Standard Model and Beyond”). A. P. is supported by an EPSRC fellowship. Publisher Copyright: © 2022 authors. Published by the American Physical Society. Published by the American Physical Society under the terms of the "https://creativecommons.org/licenses/by/4.0/"Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article's title, journal citation, and DOI. Funded by SCOAP3.

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