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(A)dS4 in Bondi gauge

(A)dS4 in Bondi gauge
(A)dS4 in Bondi gauge
We obtain the general asymptotic solutions of Einstein gravity with or without cosmological constant in Bondi gauge. The Bondi gauge was originally introduced in the context of gravitational radiation in asymptotically flat gravity. In the original work, initial conditions were prescribed at a null hypersurface and the Einstein equations were shown to take a nested form, which may be used to explicitly integrate them asymptotically. We streamline the derivation of the general asymptotic solution in the asymptotically flat case, and derive the most general asymptotic solutions for the case of non-zero cosmological constant of either sign (asymptotically locally AdS and dS solutions). With non-zero cosmological constant, we present integration schemes which rely on either prescribing data on the conformal boundary or on a null hypersurface and part of the conformal boundary. We explicitly work out the transformation to Fefferman-Graham gauge and identity how to extract the holographic data directly in Bondi coordinates. We illustrate the discussion with a number of examples and show that for asymptotically AdS4 spacetimes the Bondi mass is constant.
cosmological constant, anti-de Sitter, gravitation, conformal, gravitational radiation, boundary condition, Einstein equation, spacetime, holography, Einstein
1361-6382
Poole, Aaron
cef73035-4295-4ee7-a2cb-d33e90758864
Skenderis, Kostas
09f32871-ffb1-4f4a-83bc-df05f4d17a09
Taylor, Marika
5515acab-1bed-4607-855a-9e04252aec22
Poole, Aaron
cef73035-4295-4ee7-a2cb-d33e90758864
Skenderis, Kostas
09f32871-ffb1-4f4a-83bc-df05f4d17a09
Taylor, Marika
5515acab-1bed-4607-855a-9e04252aec22

Poole, Aaron, Skenderis, Kostas and Taylor, Marika (2019) (A)dS4 in Bondi gauge. Classical and Quantum Gravity, 36 (9), [095005]. (doi:10.1088/1361-6382/ab117c).

Record type: Article

Abstract

We obtain the general asymptotic solutions of Einstein gravity with or without cosmological constant in Bondi gauge. The Bondi gauge was originally introduced in the context of gravitational radiation in asymptotically flat gravity. In the original work, initial conditions were prescribed at a null hypersurface and the Einstein equations were shown to take a nested form, which may be used to explicitly integrate them asymptotically. We streamline the derivation of the general asymptotic solution in the asymptotically flat case, and derive the most general asymptotic solutions for the case of non-zero cosmological constant of either sign (asymptotically locally AdS and dS solutions). With non-zero cosmological constant, we present integration schemes which rely on either prescribing data on the conformal boundary or on a null hypersurface and part of the conformal boundary. We explicitly work out the transformation to Fefferman-Graham gauge and identity how to extract the holographic data directly in Bondi coordinates. We illustrate the discussion with a number of examples and show that for asymptotically AdS4 spacetimes the Bondi mass is constant.

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Poole+et+al_2019_Class._Quantum_Grav._10.1088_1361-6382_ab117c - Accepted Manuscript
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Accepted/In Press date: 20 March 2019
e-pub ahead of print date: 20 March 2019
Published date: 8 April 2019
Keywords: cosmological constant, anti-de Sitter, gravitation, conformal, gravitational radiation, boundary condition, Einstein equation, spacetime, holography, Einstein

Identifiers

Local EPrints ID: 429753
URI: http://eprints.soton.ac.uk/id/eprint/429753
ISSN: 1361-6382
PURE UUID: 0ceca572-9529-49d9-b82f-290deed8c7b4
ORCID for Kostas Skenderis: ORCID iD orcid.org/0000-0003-4509-5472
ORCID for Marika Taylor: ORCID iD orcid.org/0000-0001-9956-601X

Catalogue record

Date deposited: 05 Apr 2019 16:30
Last modified: 02 Apr 2020 04:01

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