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Numerical simulations of gravitational collapse in Einstein-aether theory
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We study gravitational collapse of a spherically symmetric scalar field in Einstein-aether theory (general relativity coupled to a dynamical unit timelike vector field). The initial value formulation is developed, and numerical simulations are performed. The collapse produces regular, stationary black holes, as long as the aether coupling constants are not too large. For larger couplings a finite area singularity occurs. These results are shown to be consistent with the stationary solutions found previously.
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Hodge Dual Gauge Symmetry in Minimal Einstein-Aether Theory
The minimal Einstein-aether vector field is the Hodge dual of a 3-form gauge field, making the two theories equivalent and showing that divergence-free aether fields are physically trivial.
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