Well-posed Cauchy formulation for Einstein-æther theory
Well-posed Cauchy formulation for Einstein-æther theory
We study the well-posedness of the initial value (Cauchy) problem of vacuum Einstein-aether theory.The latter is a Lorentz-violating gravitational theory consisting of General Relativity with a dynamical timelike "aether" vector field, which selects a "preferred time" direction at each spacetime event.The Einstein-aether action is quadratic in the aether, and thus …