Resonant string behavior in a Gravitational Wave burst

TL;DR

This paper studies how classical closed strings respond to gravitational wave bursts, revealing a resonant energy absorption linked to wave amplitude and frequency, explained through Mathieu equation solutions.

Contribution

It uncovers a resonant interaction between strings and gravitational waves, connecting string dynamics to Mathieu equation behavior, which is a novel insight.

Findings

Resonant energy absorption depends on wave amplitude and frequency.

String behavior is governed by solutions to the Mathieu equation.

Resonance occurs at specific wave parameters.

Abstract

We investigate the behavior of classical closed strings in a gravitational wave burst and discover an intriguing resonant behavior where the energy absorbed by the strings is crucially dependent on the amplitude and frequency of the gravitational wave. This behavior can be traced to the well-known behavior of the solutions to the Mathieu equation.