Off-shell ADT conserved quantities in Palatini gravity

摘要

In this paper we generalize the off-shell Abbott-Deser-Tekin (ADT) conserved charge formalism to Palatini theory of gravity with torsion and non-metricity. Our construction is based on the coordinate formalism and the independent dynamic fields are the metric and the affine connection. For a general Palatini theory of gravity, which is diffeomorphism invariant up to a boundary term, we obtain the most general expression for off-shell ADT potential. As explicit examples, we derive the off-shell ADT potentials for Einstein-Hilbert action, the most general L(g(mu nu,) R-nu alpha mu(lambda), T-alpha beta(lambda), Q(alpha mu nu)) theories and the teleparallel Palatini gravity.