Nonmetricity formulation of general relativity and its scalar-tensor extension
| Autor: | Ott Vilson, Laur Järv, Mihkel Rünkla, Margus Saal |
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| Rok vydání: | 2018 |
| Předmět: |
High Energy Physics - Theory
Physics 010308 nuclear & particles physics General relativity Shape of the universe FOS: Physical sciences General Relativity and Quantum Cosmology (gr-qc) Curvature 01 natural sciences General Relativity and Quantum Cosmology Cosmology Gravitation High Energy Physics - Phenomenology symbols.namesake High Energy Physics - Phenomenology (hep-ph) High Energy Physics - Theory (hep-th) 0103 physical sciences symbols Dark energy Einstein 010306 general physics Scalar field 83D05 Mathematical physics |
| DOI: | 10.48550/arxiv.1802.00492 |
| Popis: | Einstein's celebrated theory of gravitation can be presented in three forms: general relativity, teleparallel gravity, and the rarely considered before symmetric teleparallel gravity. Extending the latter, we introduce a new class of theories where a scalar field is coupled nonminimally to nonmetricity $Q$, which here encodes the gravitational effects like curvature $R$ in general relativity or torsion $T$ in teleparallel gravity. We point out the similarities and differences with analogous scalar-curvature and scalar-torsion theories by discussing the field equations, role of connection, conformal transformations, relation to $f(Q)$ theory, and cosmology. The equations for spatially flat universe coincide with those of teleparallel dark energy, thus allowing to explain accelerating expansion. Comment: 7 pages, 2 figures, REVTeX, clarifications and references added, version accepted for publication in PRD |
| Databáze: | OpenAIRE |
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