Some remarks concerning invariant quantities in scalar-tensor gravity
| Autor: | Ott Vilson |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2015 |
| Předmět: |
Phrase
Current (mathematics) 010308 nuclear & particles physics Formalism (philosophy) Applied Mathematics Scalar (physics) 83D05 53Z99 FOS: Physical sciences General Relativity and Quantum Cosmology (gr-qc) 01 natural sciences General Relativity and Quantum Cosmology Theoretical physics Tensor (intrinsic definition) 0103 physical sciences Metric (mathematics) Invariant (mathematics) 010306 general physics Scalar field Mathematics |
| Popis: | 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 with respect to a spacetime point under the local Weyl 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. 16 pages, Advances in Applied Clifford Algebras 2015 |
| Databáze: | OpenAIRE |
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