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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2020, Volume 309, Pages 141–164
DOI: https://doi.org/10.4213/tm4086 (Mi tm4086) 		 
This article is cited in 18 scientific papers (total in 18 papers)

The Asymptotic Structure of Gravity at Spatial Infinity in Four Spacetime Dimensions

Marc Henneauxabc, Cédric Troessaertd

a Université Libre de Bruxelles, Ave. Franklin Roosevelt 50, B-1050 Brussels, Belgium
b International Solvay Institutes, ULB – Campus Plaine CP231, B-1050 Brussels, Belgium
c On leave of absence from Collège de France, 11 place Marcelin Berthelot, 75231 Paris, France
d Max-Planck-Institut für Gravitationsphysik (Albert-Einstein-Institut), Potsdam, Germany
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DOI: https://doi.org/10.4213/tm4086
Abstract: A review of our results on the asymptotic structure of gravity at spatial infinity in four spacetime dimensions is given. Finiteness of the action and integrability of the asymptotic Lorentz boost generators are key criteria that we implement through appropriate boundary conditions. These conditions are “twisted parity conditions,” expressing that the leading order of the asymptotic fields obeys strict parity conditions under the sphere antipodal map up to an improper gauge transformation. The asymptotic symmetries are shown to form the infinite-dimensional Bondi–Metzner–Sachs group, which has a nontrivial action. The charges and their algebra are worked out. The presentation aims at being self-contained and at possessing a pedagogical component.
Funding agency Grant number
European Research Council High-Spin-Grav
Fonds De La Recherche Scientifique - FNRS IISN 4.4503.15
This work is partially supported by the ERC Advanced Grant “High-Spin-Grav” and by FNRS-Belgium (convention IISN 4.4503.15).
Received: April 9, 2019
Revised: August 22, 2019
Accepted: May 15, 2020
English version:
Proceedings of the Steklov Institute of Mathematics, 2020, Volume 309, Pages 127–149
DOI: https://doi.org/10.1134/S0081543820030104
Bibliographic databases:
Document Type: Article
UDC: 517.958:[531.123.6+521.12+523.11]
Language: Russian
Citation: Marc Henneaux, Cédric Troessaert, “The Asymptotic Structure of Gravity at Spatial Infinity in Four Spacetime Dimensions”, Modern problems of mathematical and theoretical physics, Collected papers. On the occasion of the 80th birthday of Academician Andrei Alekseevich Slavnov, Trudy Mat. Inst. Steklova, 309, Steklov Math. Inst. RAS, Moscow, 2020, 141–164; Proc. Steklov Inst. Math., 309 (2020), 127–149
Citation in format AMSBIB
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\paper The Asymptotic Structure of Gravity at Spatial Infinity in Four Spacetime Dimensions
\inbook Modern problems of mathematical and theoretical physics
\bookinfo Collected papers. On the occasion of the 80th birthday of Academician Andrei Alekseevich Slavnov
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\vol 309
\pages 141--164
\publ Steklov Math. Inst. RAS
\publaddr Moscow
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    • This publication is cited in the following 18 articles:
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    		Труды Математического института имени В. А. Стеклова Proceedings of the Steklov Institute of Mathematics
     
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