Metric-Torsional Conformal Gravity

Abstract

When in general geometric backgrounds the metric is accompanied by torsion, the metric conformal properties should correspondingly be followed by analogous torsional conformal properties; however a combined metric torsional conformal structure has never been found which provides a curvature that is both containing metric-torsional degree of freedom and conformally invariant: in this paper we construct such a metric-torsional conformal curvature. We proceed by building the most general action, then deriving the most general system of field equations; we check their consistency by showing that both conservation laws and trace condition are verified. Final considerations and comments are outlined.

6 pages

References in corpus (2)

• Spontaneous breaking of conformal invariance in theories of conformally coupled matter and Weyl gravity
• Gravitationally coupled magnetic monopole and conformal symmetry breaking

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