Gravitational collapse simulations on null cones

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• Carsten Gundlach (Southampton University)
• Friday 25 October 2024, 13:00-14:00
• Potter room / https://cam-ac-uk.zoom.us/j/87235967698.

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Null coordinates have been used in numerical relativity in spherical symmetry, in gravitational wave extraction, and in simulating adS-black hole spacetime. I review the structure of the equations and standard gauge choices. Then I focus on gravitational collapse simulations beyond spherical symmetry where the time slices are null cones emerging from a regular central worldline. I show how to deal with problems at the centre, and how to adapt the coordinates to critical collapse. I present a well-posedness result, and first simulations of axisymmetric scalar field critical collapse.

This talk is part of the DAMTP Friday GR Seminar series.

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