Noether symmetries in symmetric teleparallel cosmology
Konstantinos F. DialektopoulosAristotle University of Thessaloniki, 54124, Thessaloniki, GreeceTomi KoivistoLaboratory of Theoretical Physics, Institute of Physics, University of Tartu, W. Ostwaldi 1, 50411, Tartu, EstoniaSalvatore CapozzıelloDipartimento di Fisica, Universitá di Napoli “Federico II”, Compl. Univ. di Monte S. Angelo, Edificio G, Via Cinthia, 80126, Napoli, Italy
2019en
ABI
Abstract
We consider a general theory of all possible quadratic, first-order derivative terms of the non-metricity tensor in the framework of Symmetric Teleparallel Geometry. We apply the Noether Symmetry Approach to classify those models that are invariant under point transformations in a cosmological background and we use the symmetries of these models to reduce the dynamics of the system in order to find analytical solutions.
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Cited by 20 references