Relativistic gyratons in asymptotically AdS spacetime

TL;DR

This paper derives exact solutions for the gravitational field of spinning radiation beams, called gyratons, in higher-dimensional asymptotically Anti-de Sitter spacetimes, expanding understanding of such configurations in a cosmological context.

Contribution

It provides explicit metrics for 4D and 5D gyratons in AdS spacetime, reducing Einstein equations to linear forms and solving them exactly.

Findings

Explicit 4D and 5D gyraton metrics in AdS spacetime

Reduction of Einstein equations to linear equations in (D-2) dimensions

Discussion of properties of these gyraton solutions

Abstract

We study the gravitational field of a spinning radiation beam-pulse (a gyraton) in a D-dimensional asymptotically AdS spacetime. It is shown that the Einstein equations for such a system reduce to a set of two linear equations in a (D-2)-dimensional space. By solving these equations we obtain a metric which is an exact solution of gravitational equations with the (negative) cosmological constant. The explicit metrics for 4D and 5D gyratons in asymptotically AdS spacetime are given and their properties are discussed.