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General Relativity and Quantum Cosmology

arXiv:0711.0576 (gr-qc)
[Submitted on 5 Nov 2007]

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

Authors:S.A. Paston, V.A. Franke
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Abstract: 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.
Comments: LaTeX, 17 pages
Subjects: General Relativity and Quantum Cosmology (gr-qc); High Energy Physics - Theory (hep-th)
Cite as: arXiv:0711.0576 [gr-qc]
  (or arXiv:0711.0576v1 [gr-qc] for this version)
  https://doi.org/10.48550/arXiv.0711.0576
Journal reference: Theor.Math.Phys.153:1581-1595,2007; Teor.Mat.Fiz.153:271-288,2007
Related DOI: https://doi.org/10.1007/s11232-007-0134-9

Submission history

From: Sergey Paston [view email]
[v1] Mon, 5 Nov 2007 08:59:42 UTC (15 KB)
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