Teoretičeskaâ i matematičeskaâ fizika, Tome 107 (1996) no. 2, pp. 344-352
Citer cet article
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/
@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},
year = {1996},
volume = {107},
number = {2},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TMF_1996_107_2_a13/}
}
TY - JOUR
AU - O. V. Monovsky
TI - The equation of motion of the spherically symmetric shell in relativistic gravitational theory
JO - Teoretičeskaâ i matematičeskaâ fizika
PY - 1996
SP - 344
EP - 352
VL - 107
IS - 2
UR - http://geodesic.mathdoc.fr/item/TMF_1996_107_2_a13/
LA - ru
ID - TMF_1996_107_2_a13
ER -
%0 Journal Article
%A O. V. Monovsky
%T The equation of motion of the spherically symmetric shell in relativistic gravitational theory
%J Teoretičeskaâ i matematičeskaâ fizika
%D 1996
%P 344-352
%V 107
%N 2
%U http://geodesic.mathdoc.fr/item/TMF_1996_107_2_a13/
%G ru
%F TMF_1996_107_2_a13
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.
