On critical collapse of gravitational waves

Sorkin, Evgeny

doi:10.1088/0264-9381/28/2/025011

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On critical collapse of gravitational waves

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Sorkin, Evgeny
Geometric Analysis and Gravitation, AEI Golm, MPI for Gravitational Physics, Max Planck Society;

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1008.3319
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Sorkin, E. (2011). On critical collapse of gravitational waves. Classical and Quantum Gravity, 28(2): 025011. doi:10.1088/0264-9381/28/2/025011.

Cite as: https://hdl.handle.net/11858/00-001M-0000-0012-C62F-2

Abstract

An axisymmetric collapse of non-rotating gravitational waves is numerically investigated in the subcritical regime where no black holes form but where curvature attains a maximum and decreases, following the dispersion of the initial wave packet. We find that near the threshold for black hole formation a curvature invariant with dimensions of length, scales as a power-law with the approximate exponent 0.38. In addition, the variation of the curvature in the critical limit is accompanied by increasing amount of echos, with nearly equal temporal and spatial periods. The scaling and the echoing patterns, and the corresponding constants are independent of the initial data and coordinate choices.