Boost-rotation symmetric type D radiative metrics in Bondi coordinates

TL;DR

This paper analyzes the asymptotic behavior of boost-rotation symmetric Einstein-Maxwell solutions of Petrov type D, providing series solutions in Bondi coordinates and interpreting physical parameters like mass and charge.

Contribution

It introduces new series solutions for these spacetimes in Bondi coordinates and offers a physical interpretation of their free parameters.

Findings

Calculated total charge, Bondi and NUT mass, and Newman-Penrose constants.

Provided a physical interpretation of free parameters.

Discussed polarization states of gravitational and electromagnetic fields.

Abstract

The asymptotic properties of the solutions to the Einstein-Maxwell equations with boost-rotation symmetry and Petrov type D are studied. We find series solutions to the pertinent set of equations which are suitable for a late time descriptions in coordinates which are well adapted for the description of the radiative properties of spacetimes (Bondi coordinates). By calculating the total charge, Bondi and NUT mass and the Newman-Penrose constants of the spacetimes we provide a physical interpretation of the free parameters of the solutions. Additional relevant aspects on the asymptotics and radiative properties of the spacetimes considered, such as the possible polarization states of the gravitational and electromagnetic field, are discussed through the way.