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Noether Symmetries in $f(Q)-$Cosmology

General Relativity and Quantum Cosmology 2025-02-04 v1 High Energy Physics - Theory Mathematical Physics math.MP

Abstract

We apply the Noether symmetry analysis in f(Q)f\left( Q\right)-Cosmology to determine invariant functions and conservation laws for the cosmological field equations. For the FLRW background and the four families of connections, it is found that only power-law f(Q)f\left( Q\right) functions admit point Noether symmetries. Finally, exact and analytic solutions are derived using the invariant functions.

Keywords

Cite

@article{arxiv.2502.01202,
  title  = {Noether Symmetries in $f(Q)-$Cosmology},
  author = {Konstantinos F. Dialektopoulos and Genly Leon and Andronikos Paliathanasis},
  journal= {arXiv preprint arXiv:2502.01202},
  year   = {2025}
}

Comments

20 pages, 1 figure