Skip to main content
Article
Weyl gravity as general relativity
Physical Review D (2014)
  • James Thomas Wheeler, Utah State University
Abstract

When the full connection of Weyl conformal gravity is varied instead of just the metric, the resulting vacuum field equations reduce to the vacuum Einstein equation, up to the choice of local units, if and only if the torsion vanishes. This result differs strongly from the usual fourth-order formulation of Weyl gravity.

Keywords
  • Gravity,
  • gauge theory,
  • Weyl gravity,
  • conformal gravity
Disciplines
Publication Date
July 21, 2014
Citation Information
James Thomas Wheeler. "Weyl gravity as general relativity" Physical Review D Vol. 90 Iss. 025027 (2014)
Available at: http://works.bepress.com/james_wheeler/101/