Geodesic
Embeddings for solutions of Einstein equations
Teoretičeskaâ i matematičeskaâ fizika, Tome 175 (2013) no. 3, pp. 429-441

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

We study isometric embeddings of some solutions of the Einstein equations with sufficiently high symmetries into a flat ambient space. We briefly describe a method for constructing surfaces with a given symmetry. We discuss all minimal embeddings of the Schwarzschild metric obtained using this method and show how the method can be used to construct all minimal embeddings for the Friedmann models. We classify all the embeddings in terms of realizations of symmetries of the corresponding solutions.
Keywords: theory of gravity, isometric embedding, embedding theory, Schwarzschild metric embedding, asymptotically flat embedding
Mots-clés : extra dimension. 
@article{TMF_2013_175_3_a10,
     author = {S. A. Paston and A. A. Sheikin},
     title = {Embeddings for solutions of {Einstein} equations},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {429--441},
     publisher = {mathdoc},
     volume = {175},
     number = {3},
     year = {2013},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2013_175_3_a10/}
}
TY  - JOUR
AU  - S. A. Paston
AU  - A. A. Sheikin
TI  - Embeddings for solutions of Einstein equations
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 2013
SP  - 429
EP  - 441
VL  - 175
IS  - 3
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/TMF_2013_175_3_a10/
LA  - ru
ID  - TMF_2013_175_3_a10
ER  - 
%0 Journal Article
%A S. A. Paston
%A A. A. Sheikin
%T Embeddings for solutions of Einstein equations
%J Teoretičeskaâ i matematičeskaâ fizika
%D 2013
%P 429-441
%V 175
%N 3
%I mathdoc
%U http://geodesic.mathdoc.fr/item/TMF_2013_175_3_a10/
%G ru
%F TMF_2013_175_3_a10
S. A. Paston; A. A. Sheikin. Embeddings for solutions of Einstein equations. Teoretičeskaâ i matematičeskaâ fizika, Tome 175 (2013) no. 3, pp. 429-441. http://geodesic.mathdoc.fr/item/TMF_2013_175_3_a10/