Abstract
Every nonsimpler manifold is a radiative manifold. The Einstein's equations are solved for empty nonsimpler manifolds.
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Kobayashi, S., and Nomizu, K. (1969).Foundations of Differential Geometry (Interscience, New York.
Ruse, H. S. (1946). “On Simply Harmonic Spaces,”J. London Math. Soc.,21, 243–247.
Walker, A. G. (1950). “On Ruse's Spaces of Recurrent Curvature,”Proc. London Math. Soc.,2, 52, 36–64.
Lichnerowicz, A. (1960). “Ondes et radiations électromagnétiques et gravitationnelles en relativité générale,”Ann. Math. Pura App.,4, 49–60, 1–95.
Bel, L. (1962). “Les états de radiation et le problème de l'énergie en relativité générale,”Cah. Phys.,138, 59–81.
Pirani, F. A. E. (1957). “Invariant Formulation of Gravitational Radiation Theory,”Phys. Rev.,105, 1089–1099.
Söler, F. (1979). “r-vector fields on metric manifolds,”Ann. Math. Pura App.,4, 119, 1–8.
Söler, F. (1980) “Sur les variétés harmoniques, radiatives et récurrentes,”C. R. Acad. Sci. Paris, t.290, Série A, 609–612.
Söler, F., Fugère, J., Livingstone, W., Séguin, G., and Sirois, G. (1970–1977). “Computer symbolic methods in local differential geometry and general relativity,” Research Report, Université de Moncton.
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Söler, F. r Manifolds and gravitational radiation. Gen Relat Gravit 13, 37–41 (1981). https://doi.org/10.1007/BF00766296
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DOI: https://doi.org/10.1007/BF00766296