Multilayered and Dynamically Contracting Extensions of Spectral-Peak Queueing

Extend the double-shell compact-object analysis to multilayered compact objects and dynamically contracting layered structures, and determine whether the spectral-peak queueing patterns identified in the stationary model persist, evolve, or are replaced by new spectral signatures during gravitational collapse.

Background

The paper analyzes gravitational-wave echoes from a stationary compact object consisting of two concentric thin shells. Its central result is spectral-peak queueing, a rearrangement of continuously tracked resonance peaks as the internal mass-distribution parameter varies, despite identical endpoint spectra. The authors establish that this behavior persists across the scalar and Regge–Wheeler perturbation channels and for the angular indices examined.

The unresolved extension is to more realistic layered configurations containing multiple shells and to dynamically contracting objects whose internal structure changes during collapse. Such models would require following the evolution of the effective potential and coupled cavity structure in time, then determining whether the stationary double-shell spectral signatures survive, change their form, or disappear in favor of new gravitational-wave echo features.