Determination of spin moment in the tetrad theory of gravitation
Abstract
A general determination of spin moment in the tetrad formulation of relativistic gravitation theory is given which proceeds from invariance conditions for the appropriate action integral with respect to infinitesimal tetrad transformations ('tetrad spin moment') and infinitesimal coordinate transformations ('coordinate spin moment'). It is shown that the tetrad formulation of generalrelativity theory and the tetrad theory of gravitation in absoluteparallelism space lead to fundamentally different spin determinations since only coordinate spin moment has physical meaning in the Riemannian geometry of the former and only tetrad spin moment has essential significance in the absoluteparallelism space of the latter. It is found that the PellegriniPlebanski theory (1963) yields an inadequate heterogeneous spin determination in the form of a coordinate spin moment for gravitational and boson fields together with a tetrad spin moment for gravitational and fermion fields. As a result, the gravitational field appears in these spin moments with opposite signs.
 Publication:

Fizika
 Pub Date:
 1976
 Bibcode:
 1976Fiz....19...68T
 Keywords:

 Field Theory (Physics);
 Gravitation Theory;
 Relativity;
 Spin Dynamics;
 Tetrad Theory;
 Conservation Laws;
 Coordinate Transformations;
 Metric Space;
 Riemann Manifold;
 Variational Principles;
 Astrophysics