On the properties of torsions in Riemann-Cartan space-times. III: Classification of torsion and general discussion

Author:

Davis W. R.,Atkins W. K.,Baker W. M.

Publisher

Springer Science and Business Media LLC

Subject

General Medicine

Reference28 articles.

1. F. W. Hehl, P. von der Heyde, G. D. Kerlick andJ. M. Nester:Rev. Mod. Phys.,48, 393 (1976). See this review article for other references relating to the ECSK theory. In this paper we essentially follow definitions and notations ofJ. A. Schouten:Ricci Calculus (Berlin, 1952).

2. J. M. Nester,Canonical formalism and ECSK theory, Dissertation (College Park, Md., 1976). While aspects of the equivalence of these formalism have been discussed by others (1), it appears thatNester (2) was the first to rigorously prove it in detail. Moreover, it appears that this type of complete formal equivalence could be proven in the case of Sandberg's theory (11) for all types of matter Lagrangians.

3. In this connection, see the comments inHehl et al. (1). As an example of the recent attempts to provide gravitational theory with a satisfactory gauge theory formulation (particularly, the formulation of the ECSK theory as a gauge theory of the Poincaré group) see the recent papers byY. M. Cho:Phys. Rev. D,14, 2521, 3335, 3341 (1976).

4. A. Trautman:Bull. Acad. Polon. Sci. Ser. Sci. Math. Astron. Phys. 23, 467 (1972).

5. A. Trautman:New York Acad. Sci.,262, 241 (1975).

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