The ringing wormholes

TL;DR

This paper studies the response of traversable wormholes in a brane-world model to external disturbances, revealing their characteristic ringing frequencies and late-time damping behavior similar to black holes.

Contribution

It provides the first analysis of the characteristic oscillations and late-time decay of perturbations in traversable wormholes within the Randall-Sundrum framework.

Findings

Wormhole perturbations exhibit damped oscillations similar to black holes.

Late-time decay of perturbations follows a power law tail proportional to t^{-2}.

The evolution of perturbations confirms the stability features of the wormhole solution.

Abstract

We investigate the response of the traversable wormholes to the external perturbations through finding their characteristic frequencies and time-domain profiles. The considered solution describes traversable wormholes between the branes in the two brane Randall-Sundrum model and was previously found within Einstein gravity with a conformally coupled scalar field. The evolution of perturbations of a wormhole is similar to that of a black hole and represents damped oscillations (ringing) at intermediately late times, which are suppressed by power law tails (proportional to t^{-2} for monopole perturbations) at asymptotically late times.