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2019

Fully resonant scalars on asymptotically AdS wormholes

Anabalon, Andres, Oliva, Julio, Quijada, Constanza

Understand

In this work we show the existence of asymptotically AdS wormhole geometries where the scalar probe has an equispaced, fully resonant spectrum, as that of a scalar on AdS spacetime, and explore its dynamics when non-linearities are included.

The spacetime is a solution of Einstein-Gauss-Bonnet theory with a single maximally symmetric vacuum.
Introducing a non-minimal coupling between the scalar probe and the Ricci scalar remarkably leads to a fully resonant spectrum for a scalar field fulfilling reflective boundary conditions at both infinities.
Applying perturbative methods, which are particularly useful for unveiling the dynamics at time scales of order $\varepsilon^{-2}$ (where $\varepsilon$ characterizes the amplitude of the initial perturbation), we observe both direct and inverse energy cascades between modes.