Conformal Einstein equations and Cartan conformal connection

Abstract

Necessary and sufficient conditions for a space-time to be conformal to an Einstein space-time are interpreted in terms of curvature restrictions for the corresponding Cartan conformal connection.

References in corpus (3)

• GR via Characteristic Surfaces
• Lorentzian Metrics from Characteristic Surfaces
• The Normal Conformal Cartan Connection and the Bach Tensor

Cited by in corpus (5)

• 3-dimensional Cauchy-Riemann structures and 2nd order ordinary differential equations
• Weyl gravity as general relativity
• Cartan Normal Conformal Connections from Pairs of 2nd Order PDE's
• Polyakov soldering and second order frames : the role of the Cartan connection
• Conformally invariant Cotton and Bach tensor in N-dimensions