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 Letter 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. (C) 2012 Elsevier B.V. All rights reserved.
Metric-torsional conformal gravity
Fabbri, Luca
2012-01-01
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 Letter 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. (C) 2012 Elsevier B.V. All rights reserved.
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