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Are gauge shocks really shocks?

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arxiv gr-qc/0503030 v2 pith:6VUJYKGK submitted 2005-03-08 gr-qc

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keywords gaugeshocksassociatedpathologiesbecomebona-massocasecharacteristic
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The existence of gauge pathologies associated with the Bona-Masso family of generalized harmonic slicing conditions is proven for the case of simple 1+1 relativity. It is shown that these gauge pathologies are true shocks in the sense that the characteristic lines associated with the propagation of the gauge cross, which implies that the name ``gauge shock'' usually given to such pathologies is indeed correct. These gauge shocks are associated with places where the spatial hypersurfaces that determine the foliation of spacetime become non-smooth.

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    gr-qc 2025-04 conditional novelty 6.0 of 10

    superB/NRPy automatically generates distributed-memory Charm++ code from NRPy's BlackHoles@Home modules, showing bitwise agreement with the OpenMP version and strong scaling to 7168 cores.

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