2019/05/22 by Konstantinos F. Dialektopoulos, Tomi S. Koivisto, Tomi Koivisto +2 · 2 citations
Mathematics · Physics and Astronomy · #Advanced Differential Geometry Research #Black Holes and Theoretical Physics #Classical mechanics #Cosmology #Cosmology and Gravitation Theories #Geometry #Homogeneous space #Invariant (physics) #Mathematical physics #Mathematics #Noether's theorem #Physics #Pure mathematics #Quadratic equation #Quantum mechanics #Symmetry (geometry) #Tensor (intrinsic definition) #Theoretical physics #gr-qc #math-ph #math.MP
paper · pdf · doi:10.1140/epjc/s10052-019-7106-8
arxiv created 2019/05/22 · openalex publication_date 2019/07/01 · arxiv updated 2019/09/04 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/06
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.