Dynamics of generalized Palatini theories of gravity
Vincenzo VitaglianoSISSA-International School for Advanced Studies, Via Bonomea 265, 34136 Trieste, Italy and INFN sezione di Trieste, sezione di Trieste, via Valerio 2, 34127 Trieste, ItalyThomas P. SotiriouDepartment of Applied Mathematics and Theoretical Physics, Center for Mathematical Sciences, University of Cambridge, Wilberforce Road, Cambridge, CB3 0WA, UKStefano LiberatiSISSA-International School for Advanced Studies, Via Bonomea 265, 34136 Trieste, Italy and INFN sezione di Trieste, sezione di Trieste, via Valerio 2, 34127 Trieste, Italy
2010en
ABI
Annotatsiya
It is known that in $f(R)$ theories of gravity with an independent connection which can be both nonmetric and nonsymmetric, this connection can always be algebraically eliminated in favor of the metric and the matter fields, so long as it is not coupled to the matter explicitly. We show here that this is a special characteristic of $f(R)$ actions, and it is not true for actions that include other curvature invariants. This contradicts some recent claims in the literature. We clarify the reasons for this contradiction.
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