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arXiv · 1012.3703

The trumpet solution from spherical gravitational collapse with puncture gauges

Marcus Thierfelder·Sebastiano Bernuzzi·David Hilditch·Bernd Bruegmann·Luciano Rezzolla
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Abstract

We investigate the stationary end-state obtained by evolving a collapsing spherical star with the gauges routinely adopted to study puncture black holes. We compare the end-state of the collapse with the trumpet solution found in the evolution of a single wormhole slice and show that the two solutions closely agree. We demonstrate that the agreement is caused by the use of the Gamma-driver shift condition, which allows the matter to fall inwards into a region of spacetime that is not resolved by the numerical grid, and which simultaneously finds the stationary coordinates of the trumpet outside the matter.

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Marcus Thierfelder, Sebastiano Bernuzzi, David Hilditch, Bernd Bruegmann, Luciano Rezzolla. 2010-12-16. The trumpet solution from spherical gravitational collapse with puncture gauges. https://doi.org/10.1103/physrevd.83.064022

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