1998/10/31 by Vladimir Dzhunushaliev, V. Dzhunushaliev, D. Singleton +1
Physics and Astronomy · #Cosmology and Gravitation Theories #Noncommutative and Quantum Gravity Theories #Relativity and Gravitational Theory #gr-qc #hep-th
paper · pdf · doi:10.1016/s0375-9601(99)00282-0
published as Phys.Lett. A257 (1999) 7-13 · 15 pp., LATEX, references added, and discussion of several points changed/expanded
openalex publication_date 1999/06/01 · arxiv created 1999/06/21 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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'').