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  A new class of obstructions to the smoothness of null infinity

Valiente-Kroon, J. A. (2004). A new class of obstructions to the smoothness of null infinity. Communications in Mathematical Physics, 244, 133-156.

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 Urheber:
Valiente-Kroon, Juan Antonio1, Autor
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1Geometric Analysis and Gravitation, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, ou_24012              

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 Zusammenfassung: Expansions of the gravitational field arising from the development of asymptotically Euclidean, time symmetric, conformally flat initial data are calculated in a neighbourhood of spatial and null infinities up to order 6. To this ends a certain representation of spatial infinity as a cylinder is used. This set up is based on the properties of conformal geodesics. It is found that these expansions suggest that null infinity has to be non-smooth unless the Newman-Penrose constants of the spacetime, and some other higher order quantities of the spacetime vanish. As a consequence of these results it is conjectured that similar conditions occur if one were to take the expansions to even higher orders. Furthermore, the smoothness conditions obtained suggest that if a time symmetric initial data which is conformally flat in a neighbourhood of spatial infinity yields a smooth null infinity, then the initial data must in fact be Schwarzschildean around spatial infinity.

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Sprache(n): eng - English
 Datum: 2004
 Publikationsstatus: Erschienen
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 Ort, Verlag, Ausgabe: -
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 Identifikatoren: eDoc: 23713
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Titel: Communications in Mathematical Physics
Genre der Quelle: Zeitschrift
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Ort, Verlag, Ausgabe: -
Seiten: - Band / Heft: 244 Artikelnummer: - Start- / Endseite: 133 - 156 Identifikator: -