Null boundary phase space: slicings, news & memory
Abstract We construct the boundary phase space in D-dimensional Einstein gravity with a generic given co-dimension one null surface N $$ \mathcal{N} $$ as the boundary. The associated boundary symmetry algebra is a semi-direct sum of diffeomorphisms of N $$ \mathcal{N} $$ and Weyl rescalings. It is...
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2021
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oai:doaj.org-article:852e1eb515dc41cf892423012f0eb92b2021-11-21T12:40:55ZNull boundary phase space: slicings, news & memory10.1007/JHEP11(2021)1551029-8479https://doaj.org/article/852e1eb515dc41cf892423012f0eb92b2021-11-01T00:00:00Zhttps://doi.org/10.1007/JHEP11(2021)155https://doaj.org/toc/1029-8479Abstract We construct the boundary phase space in D-dimensional Einstein gravity with a generic given co-dimension one null surface N $$ \mathcal{N} $$ as the boundary. The associated boundary symmetry algebra is a semi-direct sum of diffeomorphisms of N $$ \mathcal{N} $$ and Weyl rescalings. It is generated by D towers of surface charges that are generic functions over N $$ \mathcal{N} $$ . These surface charges can be rendered integrable for appropriate slicings of the phase space, provided there is no graviton flux through N $$ \mathcal{N} $$ . In one particular slicing of this type, the charge algebra is the direct sum of the Heisenberg algebra and diffeomorphisms of the transverse space, N $$ \mathcal{N} $$ v for any fixed value of the advanced time v. Finally, we introduce null surface expansion- and spin-memories, and discuss associated memory effects that encode the passage of gravitational waves through N $$ \mathcal{N} $$ , imprinted in a change of the surface charges.H. AdamiD. GrumillerM. M. Sheikh-JabbariV. TaghilooH. YavartanooC. ZwikelSpringerOpenarticleBlack HolesSpace-Time SymmetriesGauge SymmetryGlobal SymmetriesNuclear and particle physics. Atomic energy. RadioactivityQC770-798ENJournal of High Energy Physics, Vol 2021, Iss 11, Pp 1-39 (2021) |
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Black Holes Space-Time Symmetries Gauge Symmetry Global Symmetries Nuclear and particle physics. Atomic energy. Radioactivity QC770-798 |
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Black Holes Space-Time Symmetries Gauge Symmetry Global Symmetries Nuclear and particle physics. Atomic energy. Radioactivity QC770-798 H. Adami D. Grumiller M. M. Sheikh-Jabbari V. Taghiloo H. Yavartanoo C. Zwikel Null boundary phase space: slicings, news & memory |
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Abstract We construct the boundary phase space in D-dimensional Einstein gravity with a generic given co-dimension one null surface N $$ \mathcal{N} $$ as the boundary. The associated boundary symmetry algebra is a semi-direct sum of diffeomorphisms of N $$ \mathcal{N} $$ and Weyl rescalings. It is generated by D towers of surface charges that are generic functions over N $$ \mathcal{N} $$ . These surface charges can be rendered integrable for appropriate slicings of the phase space, provided there is no graviton flux through N $$ \mathcal{N} $$ . In one particular slicing of this type, the charge algebra is the direct sum of the Heisenberg algebra and diffeomorphisms of the transverse space, N $$ \mathcal{N} $$ v for any fixed value of the advanced time v. Finally, we introduce null surface expansion- and spin-memories, and discuss associated memory effects that encode the passage of gravitational waves through N $$ \mathcal{N} $$ , imprinted in a change of the surface charges. |
format |
article |
author |
H. Adami D. Grumiller M. M. Sheikh-Jabbari V. Taghiloo H. Yavartanoo C. Zwikel |
author_facet |
H. Adami D. Grumiller M. M. Sheikh-Jabbari V. Taghiloo H. Yavartanoo C. Zwikel |
author_sort |
H. Adami |
title |
Null boundary phase space: slicings, news & memory |
title_short |
Null boundary phase space: slicings, news & memory |
title_full |
Null boundary phase space: slicings, news & memory |
title_fullStr |
Null boundary phase space: slicings, news & memory |
title_full_unstemmed |
Null boundary phase space: slicings, news & memory |
title_sort |
null boundary phase space: slicings, news & memory |
publisher |
SpringerOpen |
publishDate |
2021 |
url |
https://doaj.org/article/852e1eb515dc41cf892423012f0eb92b |
work_keys_str_mv |
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