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Some Remarks Concerning Invariant Quantities in Scalar-tensor Gravity

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Abstract

The aim of the current paper is to clarify some aspects of the formalism used for describing the scalar-tensor gravity characterized by four arbitrary local functionals of the scalar field. We recall the objects that are invariant w.r.t. a spacetime point under the local rescaling of the metric and under the scalar field redefinition. We phrase and prove a theorem that allows to link such an object to each quantity in a theory where two out of the four arbitrary local functionals of the scalar field are specified in a suitable manner. Based on these results we phrase and reason the existence of the so called translation rules.

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  1. Institute of Physics, University of Tartu, Ravila 14c, Tartu, 50411, Estonia

    Ott Vilson

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  1. Ott Vilson
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Vilson, O. Some Remarks Concerning Invariant Quantities in Scalar-tensor Gravity. Adv. Appl. Clifford Algebras 27, 321–332 (2017). https://doi.org/10.1007/s00006-015-0567-4

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  • DOI: https://doi.org/10.1007/s00006-015-0567-4

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