An Axisymmetric Gravitational Collapse Code

Details An Axisymmetric Gravitational Collapse Code An Axisymmetric Gravitational Collapse Code

2003-01-03

arxiv.org/abs/gr-qc/0301006v1

Class.Quant.Grav. 20 (2003) 1857-1878

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

19 pages, 9 figures

Scientific paper

10.1088/0264-9381/20/9/318

We present a new numerical code designed to solve the Einstein field equations for axisymmetric spacetimes. The long term goal of this project is to construct a code that will be capable of studying many problems of interest in axisymmetry, including gravitational collapse, critical phenomena, investigations of cosmic censorship, and head-on black hole collisions. Our objective here is to detail the (2+1)+1 formalism we use to arrive at the corresponding system of equations and the numerical methods we use to solve them. We are able to obtain stable evolution, despite the singular nature of the coordinate system on the axis, by enforcing appropriate regularity conditions on all variables and by adding numerical dissipation to hyperbolic equations.

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