Different canonical formulations of Einstein’s theory of gravity

2006/07/01 by V. A. Franke · 2 citations
Physics and Astronomy · #Advanced Differential Geometry Research #Noncommutative and Quantum Gravity Theories #Relativity and Gravitational Theory #gr-qc

paper · pdf · doi:10.1007/s11232-006-0096-3

published as Theor.Math.Phys.148:995-1010,2006; Teor.Mat.Fiz.148:143-160,2006 · LaTeX, 18 pages, some misprints in formulas (131)-(134) are corrected

openalex publication_date 2006/07/01 · arxiv created 2007/11/29 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/29

Abstract

We describe the four most famous versions of the classical canonical formalism in the Einstein theory of gravity: the Arnovitt-Deser-Misner formalism, the Faddeev-Popov formalism, the tetrad formalism in the usual form, and the tetrad formalism in the form best suited for constructing the loop theory of gravity, which is now being developed. We present the canonical transformations relating these formalisms. The paper is written mainly for pedagogical purposes.

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