Geodesic
The equation of motion of the spherically symmetric shell in relativistic gravitational theory
Teoretičeskaâ i matematičeskaâ fizika, Tome 107 (1996) no. 2, pp. 344-352

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The equation of motion of the singular spherically symmetric shell is found and integrated with accuracy to the first order of the Newton potential $U=m/r$. The energy-momentum conservation laws, one for matter in effective curved space-time and the other for both matter and gravitational field in Minkowski space-time are used independently. These methods appear to be equivalent to the classical formalism of singular hypersyrfaces suggested. 
@article{TMF_1996_107_2_a13,
     author = {O. V. Monovsky},
     title = {The equation of motion of the spherically symmetric shell in relativistic gravitational theory},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {344--352},
     publisher = {mathdoc},
     volume = {107},
     number = {2},
     year = {1996},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1996_107_2_a13/}
}
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O. V. Monovsky. The equation of motion of the spherically symmetric shell in relativistic gravitational theory. Teoretičeskaâ i matematičeskaâ fizika, Tome 107 (1996) no. 2, pp. 344-352. http://geodesic.mathdoc.fr/item/TMF_1996_107_2_a13/