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Dynamics of multiparticle systems on the symplectic extension of the Schwarzschild space-time manifold

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Abstract

Methods of extension of the Schwarzschild metrics to the 8D symplectic phase manifold are considered. The method used is based on Sasaki’s metric of the tangent bundle over the pseudo-Riemannian 4D space-time manifold.

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  1. Keldysh Institute of Applied Mathematics of RAS, Moscow, Russia

    N. N. Fimin

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Fimin, N.N. Dynamics of multiparticle systems on the symplectic extension of the Schwarzschild space-time manifold. Gravit. Cosmol. 15, 224–233 (2009). https://doi.org/10.1134/S0202289309030050

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