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Einstein-Cartan-Heisenberg Theory of Gravity with Dynamical Torsion

V. Dzhunushaliev·D. Singleton
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Abstract

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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BibTeXRIS

V. Dzhunushaliev, D. Singleton. 1999-06-21. Einstein-Cartan-Heisenberg Theory of Gravity with Dynamical Torsion. https://doi.org/10.1016/s0375-9601(99)00282-0

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