Two-step spacetime deformation induced dynamical torsion

Details Two-step spacetime deformation induced dynamical torsion Two-step spacetime deformation induced dynamical torsion

2011-02-12

arxiv.org/abs/1102.2491v1

Class.Quant.Grav.28:055003,2011

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

17 pages, no fifures

Scientific paper

10.1088/0264-9381/28/5/055003

We extend the geometrical ideas of the spacetime deformations to study the physical foundation of the post-Riemannian geometry. To this aim, we construct the theory of 'two-step spacetime deformation' as a guiding principle. We address the theory of teleparallel gravity and construct a consistent Einstein-Cartan (EC) theory with the 'dynamical torsion'. We show that the equations of the standard EC theory, in which the equation defining torsion is the algebraic type and, in fact, no propagation of torsion is allowed, can be equivalently replaced by the set of 'modified EC equations' in which the torsion, in general, is dynamical. The special physical constraint imposed upon the spacetime deformations yields the short-range propagating spin-spin interaction.

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