Causality, shocks and instabilities in vector field models of Lorentz symmetry breaking

Details Causality, shocks and instabilities in vector field models of Lorentz symmetry breaking Causality, shocks and instabilities in vector field models of Lorentz symmetry breaking

2001-04-30

arxiv.org/abs/gr-qc/0104103v1

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

15 pages, uses ams style files

Scientific paper

We show that that vector field-based models of the ether generically do not have a Hamiltonian that is bounded from below in a flat spacetime. We also demonstrate that these models possess multiple light cones in flat or curved spacetime, and that the non-lightlike characteristic is associated with an ether degree of freedom that will tend to form shocks. Since the field equations (and propagation speed) of this mode is singular when the timelike component of the ether vector field vanishes, we demonstrate that linearized analyses about such configurations cannot be trusted to produce robust approximations to the theory.

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