Does gravitational wave propagate in the five dimensional space-time with Kaluza-Klein monopole?

TL;DR

This paper investigates gravitational wave propagation in a five-dimensional Kaluza-Klein monopole spacetime, finding that odd parity gravitational waves do not propagate if they are constant along the extra dimension.

Contribution

It demonstrates that odd parity gravitational waves do not propagate in this specific five-dimensional spacetime under certain conditions, revealing new insights into gravitational wave behavior in higher dimensions.

Findings

Odd parity gravitational waves do not propagate in the five-dimensional Kaluza-Klein monopole spacetime.

Propagation is inhibited when gravitational waves are constant in the fifth dimension.

The study enhances understanding of gravitational wave dynamics in higher-dimensional theories.

Abstract

The behavior of small perturbations around the Kaluza-Klein monopole in the five dimensional space-time is investigated. The fact that the odd parity gravitational wave does not propagate in the five dimensional space-time with Kaluza-Klein monopole is found provided that the gravitational wave is constant in the fifth direction.