Geodesic
The Asymptotic Structure of Gravity at Spatial Infinity in Four Spacetime Dimensions
Trudy Matematicheskogo Instituta imeni V.A. Steklova, Modern problems of mathematical and theoretical physics, Tome 309 (2020), pp. 141-164

Voir la notice de l'article provenant de la source Math-Net.Ru

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. 
@article{TM_2020_309_a9,
     author = {Marc Henneaux and C\'edric Troessaert},
     title = {The {Asymptotic} {Structure} of {Gravity} at {Spatial} {Infinity} in {Four} {Spacetime} {Dimensions}},
     journal = {Trudy Matematicheskogo Instituta imeni V.A. Steklova},
     pages = {141--164},
     publisher = {mathdoc},
     volume = {309},
     year = {2020},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TM_2020_309_a9/}
}
TY  - JOUR
AU  - Marc Henneaux
AU  - Cédric Troessaert
TI  - The Asymptotic Structure of Gravity at Spatial Infinity in Four Spacetime Dimensions
JO  - Trudy Matematicheskogo Instituta imeni V.A. Steklova
PY  - 2020
SP  - 141
EP  - 164
VL  - 309
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/TM_2020_309_a9/
LA  - ru
ID  - TM_2020_309_a9
ER  - 
%0 Journal Article
%A Marc Henneaux
%A Cédric Troessaert
%T The Asymptotic Structure of Gravity at Spatial Infinity in Four Spacetime Dimensions
%J Trudy Matematicheskogo Instituta imeni V.A. Steklova
%D 2020
%P 141-164
%V 309
%I mathdoc
%U http://geodesic.mathdoc.fr/item/TM_2020_309_a9/
%G ru
%F TM_2020_309_a9
Marc Henneaux; Cédric Troessaert. The Asymptotic Structure of Gravity at Spatial Infinity in Four Spacetime Dimensions. Trudy Matematicheskogo Instituta imeni V.A. Steklova, Modern problems of mathematical and theoretical physics, Tome 309 (2020), pp. 141-164. http://geodesic.mathdoc.fr/item/TM_2020_309_a9/