Noether Symmetries in $f(Q)-$Cosmology

Abstract

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.

20 pages, 1 figure