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- Title
Embeddings for solutions of Einstein equations.
- Authors
Paston, S.; Sheykin, A.
- Abstract
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.
- Subjects
EMBEDDINGS (Mathematics); NUMERICAL solutions to Einstein field equations; ISOMETRICS (Mathematics); SYMMETRY (Physics); FRIEDMANN equations; SCHWARZSCHILD metric; GRAVITY
- Publication
Theoretical & Mathematical Physics, 2013, Vol 175, Issue 3, p806
- ISSN
0040-5779
- Publication type
Article
- DOI
10.1007/s11232-013-0067-4