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Journal Article

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

MPS-Authors

Alcubierre,  Miguel
Astrophysical Relativity, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

Masso,  Joan
Astrophysical Relativity, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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pR4511_1.pdf
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Citation

Alcubierre, M., & Masso, J. (1998). Pathologies of hyperbolic gauges in general relativity and other field theories. Physical Review D, 57(8), 4511-4515. doi:10.1103/PhysRevD.57.R4511.


Cite as: https://hdl.handle.net/11858/00-001M-0000-0013-5989-1
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.