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  On critical collapse of gravitational waves

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

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Item Permalink: http://hdl.handle.net/11858/00-001M-0000-0012-C62F-2 Version Permalink: http://hdl.handle.net/11858/00-001M-0000-0012-C631-9
Genre: Journal Article

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1008.3319 (Preprint), 569KB
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 Creators:
Sorkin, Evgeny1, Author              
Affiliations:
1Geometric Analysis and Gravitation, AEI Golm, MPI for Gravitational Physics, Max Planck Society, ou_24012              

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Free keywords: General Relativity and Quantum Cosmology, gr-qc, Astrophysics, Solar and Stellar Astrophysics, astro-ph.SR,High Energy Physics - Theory, hep-th
 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.

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 Dates: 2010-08-192011
 Publication Status: Published in print
 Pages: 13 pages, 7 figures
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 Table of Contents: -
 Rev. Method: -
 Identifiers: arXiv: 1008.3319
URI: http://arxiv.org/abs/1008.3319
DOI: 10.1088/0264-9381/28/2/025011
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Title: Classical and Quantum Gravity
Source Genre: Journal
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Pages: - Volume / Issue: 28 (2) Sequence Number: 025011 Start / End Page: - Identifier: -