Affine Theories, the Metric, and Matter Fields

Details Affine Theories, the Metric, and Matter Fields Affine Theories, the Metric, and Matter Fields

Feb 2005

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2005tmgm.meet.1495c&link_type=abstract

The Tenth Marcel Grossmann Meeting. Proceedings of the MG10 Meeting held at Brazilian Center for Research in Physics (CBPF), Rio

Physics

Scientific paper

We explore a way to obtain the metric from an action principle that does not refer to it a priori. We study local theories that start with Schrödinger's purely affine theory, then we couple it to matter fields. We show that the propagation of shock waves does not define a lightcone and avoids the explicit use of the Ricci tensor in realizing the weak equivalence principle. When the Ricci tensor is substituted for the metric, the equations seem to have only a very limited set of solutions. This backs the conviction that viable purely affine theories have to be non-local.

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