Causal propagation of constraints in bimetric relativity in standard 3+1 form
arXiv:1804.03659 · doi:10.1007/JHEP10(2019)219
Abstract
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.
arXiv comment17 pages, 3 figures
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- Geometric mean of bimetric spacetimes
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- Teleparallel bigravity
- On constraint preservation and strong hyperbolicity
- Constraint Algebra in Bigravity
- Analytical constraints on bimetric gravity
- Dipolar perturbations of nonbidiagonal black holes in bigravity