Abstract
It is shown that in theH-space of any Robinson-Trautman type II solution there is a uniquely defined world-line and that, under suitable regularity conditions, this world-line is a geodesic.
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References
Newman, E. T. (1976).Gen. Rel. Grav.,7, 107.
Penrose, R. (1976).Gen. Rel. Grav.,7, 171.
Hansen, R. O., and Newman, E. T. preprint.
Penrose, R. (1968). “The Structure of Space-Time,” in:Battell Rencontres in Mathematics and Physics, ed. Dewitt, C. (W. A. Benjamin Inc., New York).
Newman, E. T., and Penrose, R. (1966).J. Math Phys., NY,7, 863; Goldberg, J. N., Macfarlane, A. J., Newman, E. T., Rohrlick, F., and Sudarshan, E. C. G. (1967).J. Math. Phys., NY,8, 2155.
Lind, R. W., Messmer, J., and Newman, E. T.,J. Math. Phys., NY,13, 1884 (1972).
Newman, E. T., and Tamburino, L. (1962).J. Math. Phys.,3, 902.
Robinson, I., and Trautman, A. (1962).Proc. R. Soc. (London),265, 463.
Newman, E. T., and Posadas, R. (1969).Phys. Rev., 187.
Penrose, R. (1974). in:Group Theory in Non-Linear Problems, ed. Barut, A. O. (D. Reidel, Dordrecht).
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Ludvigsen, M. H-space and Robinson-Trautman solutions. Gen Relat Gravit 8, 357–364 (1977). https://doi.org/10.1007/BF00771146
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DOI: https://doi.org/10.1007/BF00771146