Post-Newtonian limit of generalized symmetric teleparallel gravity
| Autor: | Kai Flathmann, Manuel Hohmann |
|---|---|
| Rok vydání: | 2020 |
| Předmět: |
Physics
010308 nuclear & particles physics General relativity FOS: Physical sciences General Relativity and Quantum Cosmology (gr-qc) Newtonian limit Taylor coefficients Nonmetricity tensor 01 natural sciences General Relativity and Quantum Cosmology Formalism (philosophy of mathematics) symbols.namesake Quadratic equation 0103 physical sciences Physics::Space Physics symbols 010306 general physics Field equation Lagrangian Mathematical physics |
| DOI: | 10.48550/arxiv.2012.12875 |
| Popis: | In this article we analyze the post-Newtonian approximation of a generalization of the symmetric teleparallel gravity with the help of the parameterized post-Newtonian (PPN) formalism. This class of theories is based on a free function of the five independent quadratic contractions of the non-metricity tensor. By calculating the PPN metric of these theories, we can restrict the Taylor coefficients of the free function with the help of the PPN parameters and their observational bounds. We find two families of theories whose PPN parameters are identical to those of general relativity, and thus in full agreement with observations. For three further families, we find that only the PPN parameters $\beta$ and $\gamma$ deviate, but can be brought arbitrarily close to their general relativity values by an appropriate choice of the Lagrangian, so that also these families contain candidate theories which agree with observations. The remaining theories either possess no well-defined solution of the post-Newtonian field equations, or possess a post-Newtonian limit which exceeds the form assumed in the PPN formalism. Comment: 13 pages |
| Databáze: | OpenAIRE |
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