Geodesic
Impossibility of~centrally symmetric shock waves in~vacuum in~the relativistic theory of~gravitation
Teoretičeskaâ i matematičeskaâ fizika, Tome 79 (1989) no. 3, pp. 473-480

Voir la notice de l'article provenant de la source Math-Net.Ru

It is shown that the set of equations of relativistic theory of gravity for the empty space Petrov metric allowing for centre-symmetrical shock waves results necessarily in static solution. This is an explicit demonstration of impossibility of spherical shock waves in RTG, i. e. the analogue of the Birkhoff theorem in RTG is valid rigorously in this case too. 
@article{TMF_1989_79_3_a14,
     author = {A. V. Genk},
     title = {Impossibility of~centrally symmetric shock waves in~vacuum in~the relativistic theory of~gravitation},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {473--480},
     publisher = {mathdoc},
     volume = {79},
     number = {3},
     year = {1989},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1989_79_3_a14/}
}
TY  - JOUR
AU  - A. V. Genk
TI  - Impossibility of~centrally symmetric shock waves in~vacuum in~the relativistic theory of~gravitation
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 1989
SP  - 473
EP  - 480
VL  - 79
IS  - 3
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/TMF_1989_79_3_a14/
LA  - ru
ID  - TMF_1989_79_3_a14
ER  - 
%0 Journal Article
%A A. V. Genk
%T Impossibility of~centrally symmetric shock waves in~vacuum in~the relativistic theory of~gravitation
%J Teoretičeskaâ i matematičeskaâ fizika
%D 1989
%P 473-480
%V 79
%N 3
%I mathdoc
%U http://geodesic.mathdoc.fr/item/TMF_1989_79_3_a14/
%G ru
%F TMF_1989_79_3_a14
A. V. Genk. Impossibility of~centrally symmetric shock waves in~vacuum in~the relativistic theory of~gravitation. Teoretičeskaâ i matematičeskaâ fizika, Tome 79 (1989) no. 3, pp. 473-480. http://geodesic.mathdoc.fr/item/TMF_1989_79_3_a14/