An axisymmetric generalized harmonic evolution code

Details An axisymmetric generalized harmonic evolution code An axisymmetric generalized harmonic evolution code

2009-11-11

arxiv.org/abs/0911.2011v2

Phys. Rev. D81:084062,2010

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

21 page, 18 figures. v2: minor corrections, added references, new Fig. 9; journal version.

Scientific paper

10.1103/PhysRevD.81.084062

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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