On the canonical energy of weak gravitational fields with a cosmological constant [Formula: see text]

We analyse the canonical energy of vacuum linearised gravitational fields on light cones on a de Sitter, Minkowski, and Anti de Sitter backgrounds in Bondi gauge. We derive the associated asymptotic symmetries. When [Formula: see text] the energy diverges, but a renormalised formula with well define...

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Autores principales: Chruściel, P. T., Hoque, Sk J., Maliborski, M., Smołka, T.
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer Berlin Heidelberg 2021
Materias:
Regular Article - Theoretical Physics
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8550275/
https://www.ncbi.nlm.nih.gov/pubmed/34720723
http://dx.doi.org/10.1140/epjc/s10052-021-09350-y
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author Chruściel, P. T.
Hoque, Sk J.
Maliborski, M.
Smołka, T.
author_facet Chruściel, P. T.
Hoque, Sk J.
Maliborski, M.
Smołka, T.
author_sort Chruściel, P. T.
collection PubMed
description We analyse the canonical energy of vacuum linearised gravitational fields on light cones on a de Sitter, Minkowski, and Anti de Sitter backgrounds in Bondi gauge. We derive the associated asymptotic symmetries. When [Formula: see text] the energy diverges, but a renormalised formula with well defined flux is obtained. We show that the renormalised energy in the asymptotically off-diagonal gauge coincides with the quadratisation of the generalisation of the Trautman–Bondi mass proposed in Chruściel and Ifsits (Phys Rev D 93:124075, arXiv:1603.07018 [gr-qc], 2016).
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spelling pubmed-85502752021-10-29 On the canonical energy of weak gravitational fields with a cosmological constant [Formula: see text] Chruściel, P. T. Hoque, Sk J. Maliborski, M. Smołka, T. Eur Phys J C Part Fields Regular Article - Theoretical Physics We analyse the canonical energy of vacuum linearised gravitational fields on light cones on a de Sitter, Minkowski, and Anti de Sitter backgrounds in Bondi gauge. We derive the associated asymptotic symmetries. When [Formula: see text] the energy diverges, but a renormalised formula with well defined flux is obtained. We show that the renormalised energy in the asymptotically off-diagonal gauge coincides with the quadratisation of the generalisation of the Trautman–Bondi mass proposed in Chruściel and Ifsits (Phys Rev D 93:124075, arXiv:1603.07018 [gr-qc], 2016). Springer Berlin Heidelberg 2021-08-05 2021 /pmc/articles/PMC8550275/ /pubmed/34720723 http://dx.doi.org/10.1140/epjc/s10052-021-09350-y Text en © The Author(s) 2021 https://creativecommons.org/licenses/by/4.0/Open AccessThis article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/ (https://creativecommons.org/licenses/by/4.0/) . Funded by SCOAP3
spellingShingle Regular Article - Theoretical Physics
Chruściel, P. T.
Hoque, Sk J.
Maliborski, M.
Smołka, T.
On the canonical energy of weak gravitational fields with a cosmological constant [Formula: see text]
title On the canonical energy of weak gravitational fields with a cosmological constant [Formula: see text]
title_full On the canonical energy of weak gravitational fields with a cosmological constant [Formula: see text]
title_fullStr On the canonical energy of weak gravitational fields with a cosmological constant [Formula: see text]
title_full_unstemmed On the canonical energy of weak gravitational fields with a cosmological constant [Formula: see text]
title_short On the canonical energy of weak gravitational fields with a cosmological constant [Formula: see text]
title_sort on the canonical energy of weak gravitational fields with a cosmological constant [formula: see text]
topic Regular Article - Theoretical Physics
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8550275/
https://www.ncbi.nlm.nih.gov/pubmed/34720723
http://dx.doi.org/10.1140/epjc/s10052-021-09350-y
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