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

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Date deposited: 01 Apr 2022 16:38

Last modified: 17 Mar 2024 03:28

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