Cosmology and particle pair production via gravitational spin-spin interaction in the Einstein-Cartan-Sciama-Kibble theory of gravity

Details Cosmology and particle pair production via gravitational spin-spin interaction in the Einstein-Cartan-Sciama-Kibble theory of gravity Cosmology and particle pair production via gravitational spin-spin interaction in the Einstein-Cartan-Sciama-Kibble theory of gravity

Nov 1975

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1975phrvd..12.3004k&link_type=abstract

Physical Review D - Particles and Fields, 3rd Series, vol. 12, Nov. 15, 1975, p. 3004-3006.

Mathematics

48

Cosmology, Gravitation Theory, Pair Production, Relativity, Spin-Spin Coupling, Electron Density (Concentration), Gravitational Effects, Particle Interactions, Particle Production, Singularity (Mathematics)

Scientific paper

General relativity with spin and torsion (the ECSK theory) provides a more complete account of local gauge invariance with respect to the Poincare 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. The strength of the interaction depends on number density, and for electron densities in excess of about 10 to the 47th g per cu cm, can cause particle pair production.

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