Conformal Gravity with the most general ELKO Matter
Luca Fabbri
TL;DR
This paper extends conformal gravity with metric and torsion to include ELKO matter fields, demonstrating that their properties ensure conservation laws and trace conditions are satisfied within this framework.
Contribution
It introduces a novel application of conformal gravity to ELKO matter, establishing the consistency of conservation laws and trace conditions with these fields.
Findings
ELKO matter fields satisfy conservation laws in conformal gravity
Spin and energy densities of ELKO fields are consistent with the theory
Trace condition holds for ELKO matter in this framework
Abstract
Recently we have constructed the conformal gravity with metric and torsion, finding the gravitational field equations that give the conservation laws and trace condition; in the present paper we apply this theory to the case of ELKO matter field, proving that their spin and energy densities once the matter field equations are considered imply the validity of the conservation laws and trace condition mentioned above.
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