Loading [MathJax]/jax/output/SVG/config.js
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, 2006, Volume 148, Number 1, Pages 143–160
DOI: https://doi.org/10.4213/tmf2065 (Mi tmf2065) 		 
This article is cited in 6 scientific papers (total in 6 papers)

Different canonical formulations of Einstein's theory of gravity

V. A. Franke

Saint-Petersburg State University
Full-text PDF (379 kB) Citations (6)
References:
PDF
HTML
DOI: https://doi.org/10.4213/tmf2065
Abstract: We describe the four most famous versions of the classical canonical formalism in the Einstein theory of gravity: the Arnovitt–Deser–Misner formalism, the Faddeev–Popov formalism, the frame formalism in the usual form, and the frame formalism in the form best suited for constructing the loop theory of gravity, which is now being developed. We present the canonical transformations relating these formalisms.
Keywords: theory of gravity, canonical formalism.
Received: 10.08.2005
English version:
Theoretical and Mathematical Physics, 2006, Volume 148, Issue 1, Pages 995–1010
DOI: https://doi.org/10.1007/s11232-006-0096-3
Bibliographic databases:
Language: Russian
Citation: V. A. Franke, “Different canonical formulations of Einstein's theory of gravity”, TMF, 148:1 (2006), 143–160; Theoret. and Math. Phys., 148:1 (2006), 995–1010
Citation in format AMSBIB
\Bibitem{Fra06}
\by V.~A.~Franke
\paper Different canonical formulations of Einstein's theory of gravity
\jour TMF
\yr 2006
\vol 148
\issue 1
\pages 143--160
\mathnet{http://mi.mathnet.ru/tmf2065}
\crossref{https://doi.org/10.4213/tmf2065}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2283655}
\zmath{https://zbmath.org/?q=an:1177.83021}
\adsnasa{https://adsabs.harvard.edu/cgi-bin/bib_query?2006TMP...148..995F}
\elib{https://elibrary.ru/item.asp?id=9277368}
\transl
\jour Theoret. and Math. Phys.
\yr 2006
\vol 148
\issue 1
\pages 995--1010
\crossref{https://doi.org/10.1007/s11232-006-0096-3}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000240007800012}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-33746149310}
Linking options:
  • https://www.mathnet.ru/eng/tmf2065
  • https://doi.org/10.4213/tmf2065
  • https://www.mathnet.ru/eng/tmf/v148/i1/p143
    • This publication is cited in the following 6 articles:
    1. Sheykin A., Solovyev D., Sukhanov V., Paston S., “Modifications of Gravity Via Differential Transformations of Field Variables”, Symmetry-Basel, 12:2 (2020), 240  crossref  isi
    2. Contreras E., Leal L., “Abelian Ashtekar Formulation From the Adm Action”, Int. J. Mod. Phys. D, 23:5 (2014), 1450047  crossref  mathscinet  zmath  adsnasa  isi  scopus
    3. Kiriushcheva N., Kuzmin S.V., “The Hamiltonian formulation of general relativity: myths and reality”, Central European Journal of Physics, 9:3 (2011), 576–615  crossref  adsnasa  isi  scopus  scopus
    4. Kiriushcheva N., Kuzmin S.V., “The Hamiltonian of Einstein affine-metric formulation of General Relativity”, Eur. Phys. J. C Part Fields, 70:1-2 (2010), 389–422  crossref  adsnasa  isi  scopus
    5. Richter R., “Symplectic time integrators for numerical general relativity”, Physics and Mathematics of Gravitation, AIP Conference Proceedings, 1122, 2009, 376–379  crossref  zmath  isi  scopus
    6. Richter R., Lubich C., “Free and constrained symplectic integrators for numerical general relativity”, Classical Quantum Gravity, 25:22 (2008), 225018, 21 pp.  crossref  mathscinet  zmath  adsnasa  isi  elib  scopus  scopus
    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
    Statistics & downloads:
    Abstract page:688
    Full-text PDF :395
    References:63
    First page:1
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2025