Metric Solutions in Torsionless Gauge for Vacuum Conformal Gravity

Abstract

In a recent paper we have established the form of the metric-torsional conformal gravitational field equations, and in the present paper we study their vacuum configurations; we will consider a specific situation that will enable us to look for the torsionless limit: two types of special exact solutions are found eventually. A discussion on general remarks will follow.

11 pages

References in corpus (3)

• Conformal Gravity with the most general ELKO Matter
• Metric-Torsional Conformal Gravity
• Spontaneous breaking of conformal invariance, solitons and gravitational waves in theories of conformally invariant gravitation

Cited by in corpus (5)

• VSR symmetries in the DKP algebra: the interplay between Dirac and Elko spinor fields
• Bilinear Covariants and Spinor Fields Duality in Quantum Clifford Algebras
• Continuity of the torsionless limit as a selection rule for gravity theories with torsion
• A note on singularity avoidance in fourth-order gravity
• Emergent spinor fields from exotic spin structures