Teoreticheskaya i Matematicheskaya Fizika
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor
Guidelines for authors
License agreement
Submit a manuscript

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


TMF:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

Teoreticheskaya i Matematicheskaya Fizika, 2013, Volume 175, Number 3, Pages 429–441
DOI: https://doi.org/10.4213/tmf8494 (Mi tmf8494) 		 
This article is cited in 15 scientific papers (total in 15 papers)

Embeddings for solutions of Einstein equations

S. A. Pastona, A. A. Sheikin

a Saint Petersburg State University, St. Petersburg, Russia
Full-text PDF (405 kB) Citations (15)
References:
PDF
HTML
DOI: https://doi.org/10.4213/tmf8494
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.
Keywords: theory of gravity, isometric embedding, embedding theory, Schwarzschild metric embedding, asymptotically flat embedding, extra dimension.
English version:
Theoretical and Mathematical Physics, 2013, Volume 175, Issue 3, Pages 806–815
DOI: https://doi.org/10.1007/s11232-013-0067-4
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: S. A. Paston, A. A. Sheikin, “Embeddings for solutions of Einstein equations”, TMF, 175:3 (2013), 429–441; Theoret. and Math. Phys., 175:3 (2013), 806–815
Citation in format AMSBIB
\Bibitem{PasShe13}
\by S.~A.~Paston, A.~A.~Sheikin
\paper Embeddings for solutions of Einstein equations
\jour TMF
\yr 2013
\vol 175
\issue 3
\pages 429--441
\mathnet{http://mi.mathnet.ru/tmf8494}
\crossref{https://doi.org/10.4213/tmf8494}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3172159}
\zmath{https://zbmath.org/?q=an:1286.83013}
\adsnasa{https://adsabs.harvard.edu/cgi-bin/bib_query?2013TMP...175..806P}
\elib{https://elibrary.ru/item.asp?id=20732626}
\transl
\jour Theoret. and Math. Phys.
\yr 2013
\vol 175
\issue 3
\pages 806--815
\crossref{https://doi.org/10.1007/s11232-013-0067-4}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000323071600011}
\elib{https://elibrary.ru/item.asp?id=20440671}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84879972959}
Linking options:
  • https://www.mathnet.ru/eng/tmf8494
  • https://doi.org/10.4213/tmf8494
  • https://www.mathnet.ru/eng/tmf/v175/i3/p429
    • This publication is cited in the following 15 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Теоретическая и математическая физика Theoretical and Mathematical Physics
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024