Charges, conserved quantities and fluxes in de Sitter spacetime
Charges, conserved quantities and fluxes in de Sitter spacetime
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 $C$. The quantity $\Delta Q^t(C_1, C_2) = Q^t(C_1)-Q^t(C_2)$ is zero and thus independent of $I_t$ in the absence of flux, defining a conserved quantity in spacetime. 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 $\Delta Q^t(C_1, C_2)$ changes by the same amount.
hep-th, gr-qc
Poole, Aaron
d4c61a7b-87f8-4361-b794-449449b88d32
Skenderis, Kostas
09f32871-ffb1-4f4a-83bc-df05f4d17a09
Taylor, Marika
5515acab-1bed-4607-855a-9e04252aec22
28 December 2021
Poole, Aaron
d4c61a7b-87f8-4361-b794-449449b88d32
Skenderis, Kostas
09f32871-ffb1-4f4a-83bc-df05f4d17a09
Taylor, Marika
5515acab-1bed-4607-855a-9e04252aec22
[Unknown type: UNSPECIFIED]
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 $C$. The quantity $\Delta Q^t(C_1, C_2) = Q^t(C_1)-Q^t(C_2)$ is zero and thus independent of $I_t$ in the absence of flux, defining a conserved quantity in spacetime. 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 $\Delta Q^t(C_1, C_2)$ changes by the same amount.
Text
2112.14210v2
- Accepted Manuscript
More information
Published date: 28 December 2021
Additional Information:
v2: improvements
Keywords:
hep-th, gr-qc
Identifiers
Local EPrints ID: 455754
URI: http://eprints.soton.ac.uk/id/eprint/455754
ISSN: 2331-8422
PURE UUID: 373158d9-a106-4fee-afb7-a951be00b29d
Catalogue record
Date deposited: 01 Apr 2022 16:38
Last modified: 17 Mar 2024 03:28
Export record
Altmetrics
Download statistics
Downloads from ePrints over the past year. Other digital versions may also be available to download e.g. from the publisher's website.
View more statistics
