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REVIEW: On the Solutions of the Vacuum Cartan Equation in Metric Affine Gravity
Authors:R. Mignani  R. Scipioni
Affiliation:(1) Dipartimento di Fisica "E. Amaldi", Universita' "Roma Tre", Via della Vasca Navale, 84, 00146 Roma, Italy;(2) INFN - Sezione di Roma III, Italy;(3) Department of Physics and Astronomy, The University of British Columbia, 6224 Agricultural Road, Vancouver, B.C., Canada, V6T 1Z1
Abstract:We review some particular solutions of the vacuum Cartan equation for the non-Riemannian part of the connection in Metric Affine Gravity, by exploiting a variational approach. As application we show how a quite general non Riemannian model gives a Proca type equation for the trace of the non metricity 1-form Q.
Keywords:Metric-affine gravity
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