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Cited by 255

The DOI matches its Crossref record; 25 of the 25 references it cites were found in a registry or an index.

Asymptotic structure of symmetry-reduced general relativity

Open access
Ashtekar, Abhay, Bičák, Jiří, Schmidt, Bernd G.·1997·Physical Review D
DOI 10.1103/physrevd.55.669
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Abstract

Gravitational waves with a space-translation Killing field are considered. Because of the symmetry, the four-dimensional Einstein vacuum equations are equivalent to the three-dimensional Einstein equations with certain matter sources. This interplay between four- and three-dimensional general relativity can be exploited effectively to analyze issues pertaining to four dimensions in terms of the three-dimensional structures. An example is provided by the asymptotic structure at null infinity: While these space-times fail to be asymptotically flat in four dimensions, they can admit a regular completion at null infinity in three dimensions. This completion is used to analyze the asymptotic symmetries, introduce the analogue of the four-dimensional Bondi energy momentum, and write down a flux formula. The analysis is also of interest from a purely three-dimensional perspective because it pertains to a diffeomorphism-invariant three-dimensional field theory with local degrees of freedom, i.e., to a midisuperspace. Furthermore, because of certain peculiarities of three dimensions, the description of null infinity has a number of features that are quite surprising because they do not arise in the Bondi-Penrose description in four dimensions.

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Metadata

Authors
Ashtekar, A., Bičák, J., & Schmidt, B. G.
Venue
Physical Review D
Publisher
American Physical Society (APS)
Published
1997-01-15
Volume
55
Issue
2
Pages
669-686
ISSN
  • 0556-2821 (ISSN-L)
  • 1089-4918
DOI
10.1103/physrevd.55.669
OpenAlex
W2050984773
Cited by
255
References
25
FWCI
5.59
Type
journal article
Language
en
Open access
green

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