Implications of Spontaneous Glitches in the Mass and Angular Momentum in Kerr Space-Time

TL;DR

This paper investigates the effects of spontaneous jumps in mass and angular momentum in Kerr spacetime, revealing that such jumps produce outgoing light-like shells and impulsive gravitational waves without singularities.

Contribution

It extends the understanding of null hypersurface formation from Schwarzschild to Kerr spacetime, showing how spontaneous parameter jumps generate specific gravitational phenomena.

Findings

Spontaneous jumps in Kerr parameters produce outgoing light-like shells.

Such jumps generate wire singularity-free spherical impulsive gravitational waves.

The hypersurfaces involved are null and asymptotically form from the Kerr Riemann tensor.

Abstract

The outward-pointing principal null direction of the Schwarzschild Riemann tensor is null hypersurface-forming. If the Schwarzschild mass spontaneously jumps across one such hypersurface then the hypersurface is the history of an outgoing light-like shell. The outward-- pointing principal null direction of the Kerr Riemann tensor is asymptotically (in the neighbourhood of future null infinity) null hypersurface-forming. If the Kerr parameters of mass and angular momentum spontaneously jump across one such asymptotic hypersurface then the asymptotic hypersurface is shown to be the history of an outgoing light-like shell and a wire singularity-free spherical impulsive gravitational wave.