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New dynamical variables in Einstein’s theory of gravity

  • L. D. Faddeev
Article

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

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Copyright information

© MAIK/Nauka 2011

Authors and Affiliations

  1. 1.St. Petersburg Branch of the Steklov Institute of MathematicsRASSt. PetersburgRussia

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