Post-Newtonian limit of scalar-torsion theories of gravity as analogue to scalar-curvature theories
| Autor: | E. D. Emtsova, Manuel Hohmann |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2019 |
| Předmět: |
Physics
High Energy Physics - Theory 010308 nuclear & particles physics General relativity Scalar (mathematics) FOS: Physical sciences Conformal map General Relativity and Quantum Cosmology (gr-qc) Newtonian limit 01 natural sciences General Relativity and Quantum Cosmology Gravitational constant Massless particle High Energy Physics - Theory (hep-th) 0103 physical sciences 010306 general physics Scalar field Mathematical physics Scalar curvature |
| Popis: | We consider a recently proposed class of extended teleparallel theories of gravity, which entail a scalar field which is non-minimally coupled to the torsion of a flat, metric-compatible connection. This class of scalar-torsion theories of gravity is constructed in analogy to and as a direct extension of the well-studied class of scalar-curvature gravity theories, and has various common features, such as the conformal frame freedom. For this class we determine the parametrized post-Newtonian limit, both for a massive and a massless scalar field. In the massive case, we determine the effective gravitational constant and the post-Newtonian parameter $\gamma$, both of which depend on the distance between the gravitating and test masses. In the massless case, we calculate the full set of parameters and find that only $\gamma$ and $\beta$ potentially deviate from their general relativity values. In particular, we find that for a minimally coupled scalar field the theory becomes indistinguishable from general relativity at this level of the post-Newtonian approximation. Comment: LaTeX, 17 pages, no figures; published version, references updated |
| Databáze: | OpenAIRE |
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