Pathologies of hyperbolic gauges in general relativity and other field theories

Details Pathologies of hyperbolic gauges in general relativity and other field theories Pathologies of hyperbolic gauges in general relativity and other field theories

1997-09-11

arxiv.org/abs/gr-qc/9709024v2

Phys.Rev.D57:4511-4515,1998

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

5 pages, includes 2 figs. To appear in Phys.Rev.D Rapid Comm

Scientific paper

10.1103/PhysRevD.57.4511

We present a mathematical characterization of hyperbolic gauge pathologies in general relativity and electrodynamics. We show how non-linear gauge terms can produce a blow-up along characteristics and how this can be identified numerically by performing convergence analysis. Finally, we show some numerical examples and discuss the profound implications this may have for the field of numerical relativity.

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