Geodesic
Gravity and Lorentz Force
Teoretičeskaâ i matematičeskaâ fizika, Tome 131 (2002) no. 2, pp. 332-351

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The relativistic covariant equations are obtained for the relativistic Newton gravity law proposed by Poincaré. These equations are solved for the case where the mass of one gravitating body is equal to zero. 
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     author = {Yu. M. Zinoviev},
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Yu. M. Zinoviev. Gravity and Lorentz Force. Teoretičeskaâ i matematičeskaâ fizika, Tome 131 (2002) no. 2, pp. 332-351. http://geodesic.mathdoc.fr/item/TMF_2002_131_2_a11/