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Prog. Theor. Phys. Supplement No.70 (1981) pp. 286-300

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Partially Self-Similar Spacetimes and Fluid Motions

Kenji Tomita

Research Institute for Theoretical Physics, Hiroshima University, Takehara, Hiroshima 725

(Received July 14, 1981)

Abstract:

Partially self-similar spacetimes are considered in two cases when the homothetic hypersurface is space-like and non-space-like, and it is shown that an acoustic discontinuity can appear in the latter case. The ordinary differential equations to be solved are derived in two cases for Bianchi types I-VII and the special solutions of type I are shown.


URL : http://ptp.ipap.jp/link?PTPS/70/286/
DOI : 10.1143/PTPS.70.286

[ Full Text PDF : FREE ACCESS (742K) ] Citation:


References:

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Citing Article(s) :

  1. Progress of Theoretical Physics Vol. 70 No. 3 (1983) pp. 886-887 :
    Reduction of Partially Self-Similar Space-Times to Self-Similar Ones in General Relativity
    Kenji Tomita and Robert T. Jantzen