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 TMF, 2011, Volume 166, Number 3, Pages 323–335 (Mi tmf6614)

New dynamical variables in Einstein's theory of gravity

St.~Petersburg Branch of the~Steklov Institute of Mathematics, RAS, St.~Petersburg, Russia

Abstract: We describe an alternative formalism for Einstein's theory of gravity. The role of dynamical variables is played by a collection of ten vector fields $f_{\mu}^A$, $A=1,…,10$. The metric is a composite variable, $g_{\mu\nu}=f_{\mu}^Af_{\nu}^A$. The proposed scheme may lead to further progress in a theory of gravity where Einstein's theory is to play the role of an effective theory, with Newton's constant appearing by introducing an anomalous Green's function.

Keywords: Einstein theory of gravity, vector fields, Hamiltonian formulation

DOI: https://doi.org/10.4213/tmf6614

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English version:
Theoretical and Mathematical Physics, 2011, 166:3, 279–290

Bibliographic databases:

Citation: L. D. Faddeev, “New dynamical variables in Einstein's theory of gravity”, TMF, 166:3 (2011), 323–335; Theoret. and Math. Phys., 166:3 (2011), 279–290

Citation in format AMSBIB
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\jour TMF
\yr 2011
\vol 166
\issue 3
\pages 323--335
\mathnet{http://mi.mathnet.ru/tmf6614}
\crossref{https://doi.org/10.4213/tmf6614}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=3165815}
\transl
\jour Theoret. and Math. Phys.
\yr 2011
\vol 166
\issue 3
\pages 279--290
\crossref{https://doi.org/10.1007/s11232-011-0023-0}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-79955076600}

• http://mi.mathnet.ru/eng/tmf6614
• https://doi.org/10.4213/tmf6614
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Citing articles on Google Scholar: Russian citations, English citations
Related articles on Google Scholar: Russian articles, English articles

This publication is cited in the following articles:
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