Canonical formulation of self-gravitating spinning-object systems

Details Canonical formulation of self-gravitating spinning-object systems Canonical formulation of self-gravitating spinning-object systems

2009-07-11

arxiv.org/abs/0907.1967v3

Europhys.Lett.87:50004,2009

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

6 pages. v2: extended version; identical to the published one. v3: corrected misprints in (24) and (39); improved notation; ad

Scientific paper

10.1209/0295-5075/87/50004

Based on the Arnowitt-Deser-Misner (ADM) canonical formulation of general relativity, a canonical formulation of gravitationally interacting classical spinning-object systems is given to linear order in spin. The constructed position, linear momentum and spin variables fulfill standard Poisson bracket relations. A spatially symmetric time gauge for the tetrad field is introduced. The achieved formulation is of fully reduced form without unresolved constraints, supplementary, gauge, or coordinate conditions. The canonical field momentum is not related to the extrinsic curvature of spacelike hypersurfaces in standard ADM form. A new reduction of the tetrad degrees of freedom to the Einstein form of the metric field is suggested.

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