Exact non-singular waves in the anti-de Sitter universe

TL;DR

This paper presents a class of exact, non-singular gravitational wave solutions in anti-de Sitter space, generalizing previous models and demonstrating homogeneous wave-fronts for all observers.

Contribution

It introduces new non-singular wave solutions in anti-de Sitter space that interact with null matter, expanding the understanding of gravitational waves in such backgrounds.

Findings

Solutions are non-singular and homogeneous for all observers

Generalization of Defrise solutions to include null matter interactions

Analysis of sandwich and impulsive wave properties

Abstract

A class of radiative solutions of Einstein's field equations with a negative cosmological constant and a pure radiation is investigated. The space-times, which generalize the Defrise solution, represent exact gravitational waves which interact with null matter and propagate in the anti-de Sitter universe. Interestingly, these solutions have homogeneous and non-singular wave-fronts for all freely moving observers. We also study properties of sandwich and impulsive waves which can be constructed in this class of space-times.