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New dynamical variables in Einstein’s theory of gravity

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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 Aμ , A = 1,..., 10. The metric is a composite variable, g µν = f Aµ f A ν . 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.

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

    L. D. Faddeev

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  1. L. D. Faddeev
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Correspondence to L. D. Faddeev.

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Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 166, No. 3, pp. 323–335, March, 2011.

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Faddeev, L.D. New dynamical variables in Einstein’s theory of gravity. Theor Math Phys 166, 279–290 (2011). https://doi.org/10.1007/s11232-011-0023-0

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  • DOI: https://doi.org/10.1007/s11232-011-0023-0

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