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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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Item Permalink: http://hdl.handle.net/11858/00-001M-0000-0013-5AC8-9 Version Permalink: http://hdl.handle.net/21.11116/0000-0002-6EB8-4
Genre: Journal Article

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asymptotic.pdf (Publisher version), 253KB
 
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 Creators:
Ashtekar, Abhay, Author
Bicak, Jiri1, Author              
Schmidt, Bernd G.2, Author
Affiliations:
1AEI-Golm, MPI for Gravitational Physics, Max Planck Society, ou_24008              
2Quantum Gravity & Unified Theories, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, ou_24014              

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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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 Dates: 1997-01
 Publication Status: Published in print
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 Identifiers: eDoc: 330160
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Title: Physical Review D
  Alternative Title : Phys. Rev. D
Source Genre: Journal
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Pages: - Volume / Issue: 55 (2) Sequence Number: - Start / End Page: 669 - 686 Identifier: ISSN: 0556-2821