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Causal propagation of constraints in bimetric relativity in standard 3+1 form. (English) Zbl 1427.83071
Summary: The goal of this work was to investigate the propagation of the constraints in the ghost-free bimetric theory where the evolution equations are in standard 3+1 form. It is established that the constraints evolve according to a first-order symmetric hyperbolic system whose characteristic cone consists of the null cones of the two metrics. Consequently, the constraint evolution equations are well-posed, and the constraints stably propagate.
83D05 Relativistic gravitational theories other than Einstein’s, including asymmetric field theories
83C05 Einstein’s equations (general structure, canonical formalism, Cauchy problems)
35Q75 PDEs in connection with relativity and gravitational theory
Full Text: DOI arXiv
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