Choosing the Lorentz-violating tensor with spatial components Bii = -3B00 makes the quadratic kinetic term Lorentz invariant, giving the phantom excitation the dispersion omega^2 = k^2 for any background.
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Restoration of the Lorentz symmetry of particle propagator in the ghost condensate model
Choosing the Lorentz-violating tensor with spatial components Bii = -3B00 makes the quadratic kinetic term Lorentz invariant, giving the phantom excitation the dispersion omega^2 = k^2 for any background.