Conformal Gravity with Dirac Matter
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 the Dirac matter field: we shall see that in this case the trace condition becomes trivial, but further constraints arise, which will impose severe limitations on the dynamics of such a system.
- Publication:
-
arXiv e-prints
- Pub Date:
- January 2011
- DOI:
- 10.48550/arXiv.1101.2334
- arXiv:
- arXiv:1101.2334
- Bibcode:
- 2011arXiv1101.2334F
- Keywords:
-
- General Relativity and Quantum Cosmology;
- High Energy Physics - Theory;
- Mathematical Physics
- E-Print:
- 7 pages