Features of gravitational waves in higher dimensions

TL;DR

This paper investigates how gravitational waves behave differently in higher-dimensional braneworld scenarios compared to four-dimensional spacetime, focusing on their propagation and the validity of Huygens principle.

Contribution

It analyzes the effects of braneworld models on gravitational wave propagation and the Huygens principle within an FRW background, highlighting fundamental differences from standard four-dimensional theory.

Findings

Higher-dimensional gravitational waves exhibit different asymptotic behaviors.

Braneworld scenarios affect the validity of Huygens principle.

Propagation characteristics of gravitational waves are altered in higher dimensions.

Abstract

There are several fundamental differences between four-dimensional and higher-dimensional gravitational waves, namely in the so called braneworld set-up. One of them is their asymptotic behavior within the Cauchy problem. This study is connected with the so called Hadamard problem, which aims at the question of Huygens principle validity. We investigate the effect of braneworld scenarios on the character of propagation of gravitational waves on FRW background.