Quasinormal modes of massive scalar fields in four-dimensional wormholes: Anomalous decay rate

In this work we consider a generalized Bronnikov-Ellis wormhole and the tideless Morris-Thorne wormhole and we study the propagation of massive scalar fields. We calculate the quasinormal frequencies using the Wentzel-Kramers-Brillouin method and the pseudospectral Chebyshev method and we show the presence of an anomalous decay rate for the quasinormal modes in the generalized Bronnikov-Ellis wormhole. However, such anomalous behavior is avoided for the fundamental mode in the Morris-Thorne wormhole background.