Axisymmetric generalized harmonic evolution code
- Max Planck Institute for Gravitational Physics (Albert Einstein Institute), Am Muehlenberg 1, D-14476, Golm (Germany)
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.
- OSTI ID:
- 21431061
- Journal Information:
- Physical Review. D, Particles Fields, Vol. 81, Issue 8; Other Information: DOI: 10.1103/PhysRevD.81.084062; (c) 2010 The American Physical Society; ISSN 0556-2821
- Country of Publication:
- United States
- Language:
- English
Similar Records
Supergravity black holes, Love numbers, and harmonic coordinates
Topological properties and global structure of space-time
Related Subjects
AXIAL SYMMETRY
BLACK HOLES
CYLINDRICAL CONFIGURATION
DISTRIBUTION
EINSTEIN FIELD EQUATIONS
GRAVITATIONAL COLLAPSE
KALUZA-KLEIN THEORY
PULSES
SCALAR FIELDS
SINGULARITY
SPACE-TIME
SPHERICAL CONFIGURATION
TOPOLOGY
CONFIGURATION
EQUATIONS
FIELD EQUATIONS
FIELD THEORIES
MATHEMATICS
SYMMETRY
UNIFIED-FIELD THEORIES