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TMF, 1996 Volume 107, Number 2, Pages 344–352 (Mi tmf1160)

The equation of motion of the spherically symmetric shell in relativistic gravitational theory

O. V. Monovsky

M. V. Lomonosov Moscow State University

Abstract: 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.

Received: 03.05.1995

DOI: 10.4213/tmf1160


 English version:
Theoretical and Mathematical Physics, 1996, 107:2, 698–705

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