Coordinate Singularities in Harmonically-sliced Cosmologies

Details Coordinate Singularities in Harmonically-sliced Cosmologies Coordinate Singularities in Harmonically-sliced Cosmologies

2000-01-23

arxiv.org/abs/gr-qc/0001070v1

Phys.Rev. D62 (2000) 044003

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

21 pages, REVTeX, 5 figures

Scientific paper

10.1103/PhysRevD.62.044003

Harmonic slicing has in recent years become a standard way of prescribing the lapse function in numerical simulations of general relativity. However, as was first noticed by Alcubierre (1997), numerical solutions generated using this slicing condition can show pathological behaviour. In this paper, analytic and numerical methods are used to examine harmonic slicings of Kasner and Gowdy cosmological spacetimes. It is shown that in general the slicings are prevented from covering the whole of the spacetimes by the appearance of coordinate singularities. As well as limiting the maximum running times of numerical simulations, the coordinate singularities can lead to features being produced in numerically evolved solutions which must be distinguished from genuine physical effects.

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