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On Hilbert's gravitational repulsion (A historical Note)

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arxiv 0904.1578 v1 pith:W2XQ2A3N submitted 2009-04-09 physics.gen-ph

Angelo Loinger , Tiziana Marsico This is my paper · ORCID
classification physics.gen-ph
keywords hilbertparticularaccordingactionconcisecontainedeinsteinianexerts
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In the literature on general relativity no mention is made of a remarkable result contained in Hilbert's memoir "Die Grundlagen der Physik", according to which in particular instances and in particular regions the Einsteinian gravity exerts a repulsive action. We give here a concise illustration of this peculiar phenomenon.

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  1. On the effect of gravitational repulsion on geodesic deviation in the Schwarzschild-de Sitter spacetime

    gr-qc 2026-07 conditional novelty 3.5 of 10

    Geodesic-deviation coefficients C00 and C10 vanish and extremize at the SdS critical surface r=(3M/Λ)^{1/3}, marking the switch between gravitational attraction and repulsion for radial tardyons.

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