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Appearance of coordinate shocks in hyperbolic formalisms of general relativity

Appearance of coordinate shocks in hyperbolic formalisms of general relativity

I consider the appearance of shocks in hyperbolic formalisms of General Relativity. I study the particular case of the Bona-Masso formalism with zero shift vector and show how shocks associated with two families of characteristic fields can develop. These shocks do not represent discontinuities in the geometry of spacetime, but …