5D gravitational waves from complexified black rings

TL;DR

This paper constructs five-dimensional gravitational wave solutions derived from complexified black rings and Myers-Perry black holes, revealing new wave polarizations and symmetries in higher-dimensional general relativity.

Contribution

It introduces novel 5D time-dependent solutions from black rings and black holes via analytic continuation, expanding understanding of gravitational waves in higher dimensions.

Findings

New 5D gravitational wave solutions from black rings and black holes.

Extra wave polarizations from ring rotation parameters.

Enhanced symmetry properties indicating better behavior at null infinity.

Abstract

In this paper we construct and briefly study the 5D time-dependent solutions of general relativity obtained via double analytic continuation of the black hole (Myers-Perry) and of the black ring solutions with a double (Pomeransky-Senkov) and a single rotation (Emparan-Reall). The new solutions take the form of a generalized Einstein-Rosen cosmology representing gravitational waves propagating in a closed universe. In this context the rotation parameters of the rings can be interpreted as the extra wave polarizations, while it is interesting to state that the waves obtained from Myers-Perry Black holes exhibit an extra boost-rotational symmetry in higher dimensions which signals their better behavior at null infinity. The analogue to the C-energy is analyzed.