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  Asymptotic structure of symmetry-reduced general relativity

Ashtekar, A., Bicak, J., & Schmidt, B. G. (1997). Asymptotic structure of symmetry-reduced general relativity. Physical Review D, 55(2), 669-686.

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Datensatz-Permalink: http://hdl.handle.net/11858/00-001M-0000-0013-5AC8-9 Versions-Permalink: http://hdl.handle.net/11858/00-001M-0000-0013-5AC9-7
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 Urheber:
Ashtekar, Abhay, Autor
Bicak, Jiri, Autor
Schmidt, Bernd G.1, Autor
Affiliations:
1Quantum Gravity & Unified Theories, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, escidoc:24014              

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 Zusammenfassung: 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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 Datum: 1997-01
 Publikationsstatus: Im Druck publiziert
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 Ort, Verlag, Ausgabe: -
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 Identifikatoren: eDoc: 330160
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Titel: Physical Review D
  Alternativer Titel : Phys. Rev. D
Genre der Quelle: Zeitschrift
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Ort, Verlag, Ausgabe: -
Seiten: - Band / Heft: 55 (2) Artikelnummer: - Start- / Endseite: 669 - 686 Identifikator: ISSN: 0556-2821