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arXiv · 2503.17549

Vacuum axisymmetric gravitational collapse revisited: preliminary investigation

Andrzej Rostworowski
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Abstract

Validating the results of [A.M. Abrahams and C.R. Evans, Phys. Rev. Lett. 70, 2980] poses a numerical challenge and has been inspiring a lot of research. We join these efforts and present our first steps to achieve this goal: we discuss a formulation of Einstein equations for a vacuum axisymmetric spacetime with vanishing twist in spherical-polar coordinates, its linearised approximation, and identify some problems in achieving numerically stable evolution at the threshold of a black hole formation.

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Andrzej Rostworowski. 2025-03-21. Vacuum axisymmetric gravitational collapse revisited: preliminary investigation. https://doi.org/10.1103/physrevd.111.104067

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