Noether Symmetries in $f(Q)-$Cosmology

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Hauptverfasser: Dialektopoulos, Konstantinos F., Leon, Genly, Paliathanasis, Andronikos
Format: Preprint
Veröffentlicht: 2025
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author Dialektopoulos, Konstantinos F.
Leon, Genly
Paliathanasis, Andronikos
author_facet Dialektopoulos, Konstantinos F.
Leon, Genly
Paliathanasis, Andronikos
contents We apply the Noether symmetry analysis in $f\left( Q\right)$-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 $f\left( Q\right)$ functions admit point Noether symmetries. Finally, exact and analytic solutions are derived using the invariant functions.
format Preprint
id arxiv_https___arxiv_org_abs_2502_01202
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Noether Symmetries in $f(Q)-$Cosmology
Dialektopoulos, Konstantinos F.
Leon, Genly
Paliathanasis, Andronikos
General Relativity and Quantum Cosmology
High Energy Physics - Theory
Mathematical Physics
We apply the Noether symmetry analysis in $f\left( Q\right)$-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 $f\left( Q\right)$ functions admit point Noether symmetries. Finally, exact and analytic solutions are derived using the invariant functions.
title Noether Symmetries in $f(Q)-$Cosmology
topic General Relativity and Quantum Cosmology
High Energy Physics - Theory
Mathematical Physics
url https://arxiv.org/abs/2502.01202