A canonical LGCM foliation of future null infinity is constructed in perturbed Kerr spacetimes, giving unique definitions of energy, momentum, angular momentum and center of mass with standard radiation laws.
Angular Momentum Memory Effect
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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.
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A canonical foliation on null infinity in perturbations of Kerr
A canonical LGCM foliation of future null infinity is constructed in perturbed Kerr spacetimes, giving unique definitions of energy, momentum, angular momentum and center of mass with standard radiation laws.