Detecting extra dimensions with gravity wave spectroscopy: the black string brane-world

TL;DR

This paper investigates how gravitational wave signals from a black string in a brane-world scenario can reveal extra dimensions through late-time oscillations and spectral features caused by Kaluza-Klein modes.

Contribution

It introduces a model of a brane-world black hole and predicts distinctive gravitational wave signatures indicating extra dimensions.

Findings

Late-time oscillations in gravitational waves due to massive graviton modes

Spectroscopic signatures of Kaluza-Klein modes in the Fourier spectrum

Potential observational method for detecting extra dimensions

Abstract

Using the black string between two branes as a model of a brane-world black hole, we compute the gravity wave perturbations and identify the features arising from the additional polarizations of the graviton. The standard four-dimensional gravitational wave signal acquires late-time oscillations due to massive modes of the graviton. The Fourier transform of these oscillations shows a series of spikes associated with the masses of the Kaluza-Klein modes, providing in principle a spectroscopic signature of extra dimensions.