Einstein-Cartan-Heisenberg Theory of Gravity with Dynamical Torsion

Details Einstein-Cartan-Heisenberg Theory of Gravity with Dynamical Torsion Einstein-Cartan-Heisenberg Theory of Gravity with Dynamical Torsion

1998-10-15

arxiv.org/abs/gr-qc/9810050v2

Phys.Lett. A257 (1999) 7-13

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

15 pp., LATEX, references added, and discussion of several points changed/expanded

Scientific paper

10.1016/S0375-9601(99)00282-0

On the basis of an algebraic relation between torsion and a classical spinor field a new interpretation of Einstein-Cartan gravity interacting with classical spinor field is proposed. In this approach the spinor field becomes an auxiliary field and the dynamical equation for this field (the Heisenberg equation) is a dynamical, gravitational equation for torsion. The simplest version of this theory is examined where the metric degrees of freedom are frozen and only torsion plays a role. A spherically symmetric solution of this theory is examined. This solution can be interpreted, in the spirit of Wheeler's ideas of ``charge without charge'' and ``mass without mass'', as a geometrical model for an uncharged and massless particle with spin (``spin without spin'').

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