Nonlinear Radiation Gauge for Near Kerr Spacetimes
Journal article, 2022

In this paper, we introduce and explore the properties of a new gauge choice for the vacuum Einstein equation inspired by the ingoing and outgoing radiation gauges (IRG, ORG) for the linearized vacuum Einstein equation introduced by Chrzanowski in his work on metric reconstruction (Chrzanowski in Phys Rev D 11:2042–2062, 1975) on the Kerr background. It has been shown by Price et al. (Class Quantum Gravity 24:2367–2388, 2007) that the IRG/ORG are consistent gauges for the linearized vacuum Einstein equation on Petrov type II backgrounds. In (Andersson et al. Stability for linearized gravity on the Kerr spacetime, 2019), the ORG was used in proving linearized stability for the Kerr spacetime, and the new non-linear radiation gauge introduced here is a direct generalization of that gauge condition, and is intended to be used to study the stability of Kerr black holes under the evolution generated by the vacuum Einstein equation.

Author

Lars Andersson

Max Planck Society

Thomas Bäckdahl

Chalmers, Mathematical Sciences, Analysis and Probability Theory

P. Blue

University of Edinburgh

Siyuan Ma

Max Planck Society

Laboratoire Jacques-Louis Lions

Communications in Mathematical Physics

0010-3616 (ISSN) 1432-0916 (eISSN)

Vol. In Press

Subject Categories

Computational Mathematics

Geometry

Mathematical Analysis

DOI

10.1007/s00220-022-04461-3

More information

Latest update

9/1/2022 1