Spinors and torsion in general relativity

by Roger Penrose
Foundations of Physics ()
Get full text at journal


Conformal rescalings of spinors are considered, in which the factor O, in eAB~--~,OeAB, is allowed to be complex. It is argued that such rescalings naturally lead to the presence of torsion in the space-time derivative V a. It is further shown that, in standard general relativity, a circularly polarized gravitational wave produces a (nonlocal) rotation effect along rays intersecting it similar to, and apparently consistent with, the local torsion of the Einstein- Cartan-Sciama-Kibble theory. The results of these deliberations are suggestive rather than conclusive.

Cite this document (BETA)

Readership Statistics

12 Readers on Mendeley
by Discipline
92% Physics and Astronomy
8% Mathematics
by Academic Status
33% Researcher
25% Student > Ph. D. Student
17% Professor
by Country
8% Germany
8% France
8% Sweden


Sign up today - FREE

Mendeley saves you time finding and organizing research. Learn more

  • All your research in one place
  • Add and import papers easily
  • Access it anywhere, anytime

Start using Mendeley in seconds!

Sign up & Download

Already have an account? Sign in