Angular Momentum Memory Effect
General Relativity and Quantum Cosmology
2024-04-11 v2 High Energy Physics - Theory
Mathematical Physics
Analysis of PDEs
Differential Geometry
math.MP
Abstract
Utilizing recent mathematical advances in proving stability of Minkowski spacetime with minimal decay rates and nonlinear stability of Kerr black holes with small angular momentum, we investigate the detailed asymptotic behaviors of gravitational waves generated in these spacetimes. Here we report and propose a new angular momentum memory effect along future null infinity. This accompanies Christodoulou's nonlinear displacement memory effect and the spin memory effect. The connections and differences to these effects are also addressed.
Keywords
Cite
@article{arxiv.2403.11133,
title = {Angular Momentum Memory Effect},
author = {Xinliang An and Taoran He and Dawei Shen},
journal= {arXiv preprint arXiv:2403.11133},
year = {2024}
}