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  An axisymmetric generalized harmonic evolution code

Sorkin, E. (2010). An axisymmetric generalized harmonic evolution code. Physical Review D., 81: 084062. doi:10.1103/PhysRevD.81.084062.

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Item Permalink: http://hdl.handle.net/11858/00-001M-0000-0013-6136-F Version Permalink: http://hdl.handle.net/11858/00-001M-0000-0013-613A-7
Genre: Journal Article

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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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 Abstract: We describe the first axisymmetric numerical code based on the generalized harmonic formulation of the Einstein equations which is regular at the axis. We test the code by investigating gravitational collapse of distributions of complex scalar field in a Kaluza-Klein spacetime. One of the key issues of the harmonic formulation is the choice of the gauge source functions, and we conclude that a damped wave gauge is remarkably robust in this case. Our preliminary study indicates that evolution of regular initial data leads to formation both of black holes with spherical and cylindrical horizon topologies. Intriguingly, we find evidence that near threshold for black hole formation the number of outcomes proliferates. Specifically, the collapsing matter splits into individual pulses, two of which travel in the opposite directions along the compact dimension and one which is ejected radially from the axis. Depending on the initial conditions, a curvature singularity develops inside the pulses.

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 Dates: 2010
 Publication Status: Published in print
 Pages: 22 pages
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 Rev. Method: -
 Identifiers: eDoc: 438213
Other: arXiv:0911.2011
DOI: 10.1103/PhysRevD.81.084062
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Title: Physical Review D.
  Alternative Title : Phys. Rev. D.
Source Genre: Journal
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Publ. Info: Lancaster, Pa. : Published for the American Physical Society by the American Institute of Physics
Pages: 22 Volume / Issue: 81 Sequence Number: 084062 Start / End Page: - Identifier: Other: 0556-2821