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We revisit a family of ultra-static Lorentzian wormholes which includesEllis-Bronnikov spacetime as a special case. We first show how the requiredtotal matter stress energy (which violates the local energy conditions) may besplit into a part due to a phantom scalar and another extra piece (whichvanishes for Ellis--Bronnikov) satisfying the Averaged Null Energy Condition(ANEC) along radial null geodesics. Thereafter,we examine the effectivepotential for scalar wave propagation in a general setting. Conditions on themetric function, for which the effective potential may have double barrierfeatures are written down and illustrated (using this class of wormholes).Subsequently, using numerous methods, we obtain the scalar quasinormal modes(QNMs). We note the behaviour of the QNMs as a function of $n$ (the metricparameter) and $b_0$ (the wormhole throat radius). Thus, the shapes and sizesof the wormholes, governed by the metric parameter $n$ and the throat radius$b_0$ are linked to the variation and the values of the QNMs. Finally, wedemonstrate how, for large $n$, the time domain profiles exhibit, expectedly,the occurence of echoes. In summary, our results suggest that this family ofwormholes may indeed be used as a template for further studies on thegravitational wave physics of exotic compact objects.

Revisiting a family of wormholes: geometry, matter, scalar quasinormal modes and echoes