Canonical formulation of the embedded theory of gravity equivalent to Einstein's General Relativity

Details Canonical formulation of the embedded theory of gravity equivalent to Einstein's General Relativity Canonical formulation of the embedded theory of gravity equivalent to Einstein's General Relativity

2007-11-05

arxiv.org/abs/0711.0576v1

Theor.Math.Phys.153:1581-1595,2007; Teor.Mat.Fiz.153:271-288,2007

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

LaTeX, 17 pages

Scientific paper

10.1007/s11232-007-0134-9

We study the approach in which independent variables describing gravity are functions of the space-time embedding into a flat space of higher dimension. We formulate a canonical formalism for such a theory in a form, which requires imposing additional constraints, which are a part of Einstein's equations. As a result, we obtain a theory with an eight-parameter gauge symmetry. This theory becomes equivalent to Einstein's general relativity either after partial gauge fixing or after rewriting the metric in the form that is invariant under the additional gauge transformations. We write the action for such a theory.

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