Covariant BSSN formulation in bimetric relativity

Understand

Numerical integration of the field equations in bimetric relativity is necessary to obtain solutions describing realistic systems.

• Thus, it is crucial to recast the equations as a well-posed problem.
• In general relativity, under certain assumptions, the covariant BSSN formulation is a strongly hyperbolic formulation of the Einstein equations, hence its Cauchy problem is well-posed.
• In this paper, we establish the covariant BSSN formulation of the bimetric field equations.