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Pathologies of hyperbolic gauges in general relativity and other field theories

Miguel Alcubierre and Joan Massó
Phys. Rev. D 57, R4511(R) – Published 15 April 1998
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Abstract

We present a mathematical characterization of hyperbolic gauge pathologies in electrodynamics and general relativity. We show analytically how non-linear gauge terms can produce a blow-up of some fields along characteristics. We expect similar phenomena to appear in any other gauge field theory. We also present numerical simulations where such blow-ups develop and show how they can be properly identified by performing a convergence analysis. We stress the importance of these results for the particular case of numerical relativity, where we offer some cures based on the use of non-hyperbolic gauges.

  • Received 12 September 1997

DOI:https://doi.org/10.1103/PhysRevD.57.R4511

©1998 American Physical Society

Authors & Affiliations

Miguel Alcubierre and Joan Massó

  • Max-Planck-Institut für Gravitationsphysik (Albert-Einstein-Institut), Schlaatzweg 1, D-14473 Potsdam, Germany

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Issue

Vol. 57, Iss. 8 — 15 April 1998

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