The weak-field-limit solution for Kerr black hole in radiation gauge

TL;DR

This paper derives the weak-field limit solution for a Kerr black hole using the radiation gauge, enabling precise identification of gravitational wave components.

Contribution

It provides the first explicit weak-field solution for Kerr black holes in the radiation gauge, clarifying gravitational wave extraction.

Findings

Explicit weak-field Kerr solution in radiation gauge

Exact identification of gravitational wave components

Enhances understanding of gravitational wave extraction from rotating black holes

Abstract

In this work we present the solution for a rotating Kerr black hole in the weak-field limit under the radiation gauge proposed by Chen and Zhu [Phys. Rev. D83, 061501(R) (2011)], with which the two physical components of the gravitational wave can be picked out exactly.