Cosmology and particle pair production via gravitational spin--spin interaction in the Einstein--Cartan--Sciama--Kibble theory of gravity
General relativity with spin and torsion [the Einstein-Cartan-Sciama-Kibble (ECSK) theory] provides a more complete account of local gauge invariance with respect to the Poincaré group than is possible in Einstein's general relativity. The ECSK theory introduces a new gravitational spin-spin contact interaction which is here shown to be repulsive between Dirac particles whose spins are aligned and attractive when spins are opposed. The presence of a Dirac field as source for the torsion causes a positive "effective mass" term in the energy condition of the generalized singularity theorem for this theory. The spin-spin interaction enhances rather than opposes singularity formation, in contrast with previous results for a convective spinning dust distribution. Finally, the strength of the interaction depends on number density, and for electron densities in excess of ρ¯≃1047 gcm-3, can cause particle pair production.
- Research Organization:
- Joseph Henry Laboratories, Princeton University, Princeton, New Jersey 08540
- Sponsoring Organization:
- USDOE
- NSA Number:
- NSA-33-021933
- OSTI ID:
- 4079488
- Journal Information:
- Phys. Rev., D, v. 12, no. 10, pp. 3004-3006, Journal Name: Phys. Rev., D, v. 12, no. 10, pp. 3004-3006; ISSN PRVDA
- Country of Publication:
- United States
- Language:
- English
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