Kerr Analogue of Kinnersley's Field of an Arbitrarily Accelerating Point Mass

TL;DR

This paper develops a new solution in general relativity that generalizes the Kerr and Kinnersley's solutions to include both arbitrary acceleration and rotation of a point mass.

Contribution

It introduces a unified field solution that encompasses both Kerr and Kinnersley's metrics as special cases, extending the understanding of accelerating and rotating masses.

Findings

Derived a new metric combining acceleration and rotation effects.

Specializes to Kerr and Kinnersley's solutions under specific conditions.

Provides a framework for analyzing accelerating rotating black holes.

Abstract

We construct the field of an arbitrarily accelerating and rotating point mass which specializes to the Kerr solution when the acceleration vanishes and specializes to Kinnersley's arbitrarily accelerating point mass when the rotation vanishes.