https://doi.org/10.1140/epjc/s10052-020-8409-5
Regular Article - Theoretical Physics
Revisiting a family of wormholes: geometry, matter, scalar quasinormal modes and echoes
1
Department of Physics, Indian Institute of Technology, 721 302, Kharagpur, India
2
Department of Physics, University of Florida, P.O. Box 118440, 2001 Museum Road, 32611-8440, Gainesville, FL, USA
3
Centre for Theoretical Studies, Indian Institute of Technology, 721 302, Kharagpur, India
Received:
14
July
2020
Accepted:
23
August
2020
Published online:
14
September
2020
We revisit a family of ultra-static Lorentzian wormholes which includes Ellis–Bronnikov spacetime as a special case. We first show how the required total matter stress energy (which violates the local energy conditions) may be split into a part due to a phantom scalar and another extra piece (which vanishes for Ellis–Bronnikov) satisfying the Averaged Null Energy Condition (ANEC) along radial null geodesics. Thereafter, we examine the effective potential for scalar wave propagation in a general setting. Conditions on the metric function, for which the effective potential may have double barrier features 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 metric parameter) and 
(the wormhole throat radius). Thus, the shapes and sizes of the wormholes, governed by the metric parameter n and the throat radius are linked to the variation and the values of the QNMs. Finally, we demonstrate how, for large n, the time domain profiles exhibit, expectedly, the occurence of echoes. In summary, our results suggest that this family of wormholes may indeed be used as a template for further studies on the gravitational wave physics of exotic compact objects.
© The Author(s) 2020
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