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- W67725058 abstract "The configuration of a spherically symmetric distribution of matter is investigated. Conditions which are necessary and sufficient are given for the density to be uniform. The motion of the configuration is investigated with a view to oscillations using different physical conditions and initial conditions. It is shown that for many classes of solutions, these conditions are sufficient to conclude that oscillations are not possible. Particularly it is found that for a gasous mass, oscillations are not possible. For other classes of solutions, it is shown that the conditions necessary for the solutions to be physically acceptable, are consistent with oscillations. However, these conditions are in general not sufficient On etudie la configuration d'une distribution de matiere a symetrie spherique. On donne des conditions necessaires et suffisantes pour que la densite soit uniforme. On etudie le mouvement d'une telle configuration avec en vue ses oscillations, sous differentes conditions physiques et avec differentes conditions initiales. On montre que pour de nombreuses classes de solutions, ces conditions sont suffisantes pour conclure a l'impossibilite des oscillations. On trouve en particulier que les oscillations ne sont pas possibles pour une masse gazeuse. Pour d'autres solutions, on montre que les conditions necessaires pour que les solutions soient physiquement acceptables sont compatibles avec des oscillations. Par contre ces conditions ne sont en general pas suffisantes" @default.
- W67725058 created "2016-06-24" @default.
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- W67725058 date "1979-12-01" @default.
- W67725058 modified "2023-09-27" @default.
- W67725058 title "On the possibility of general relativistic oscillations" @default.
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