Exploring Traversable Wormholes in $f(Q)$ gravity: Shadows and Quasinormal modes

Abstract

The present work deals with some WH solutions in $f(Q)$ gravity theory for non-constant red-shift function subject to a power law model of $f(Q)$, $Q$ being the non-metricity scalar. Important properties of a WH configuration like the asymptotic flatness, traversability, flairing out condition and energy conditions have been checked for the obtained solutions. Shadows for these WHs have been determined and effect of non-metricity has been discussed. Finally, the paper gives an essence of Quasinormal modes and grey body factors for traversable WHs in general and $f(Q)$ wormholes in particular indicating a distinct signature of non-metricity influencing these observational tools.

23 pages, 10 figures