TL;DR
This paper analyzes the stability conditions of Einstein-aether theory, showing it can be stable with modes of any phase velocity, challenging previous claims that only the speed of light ensures stability.
Contribution
It demonstrates that Einstein-aether theory's stability is not limited to modes traveling at light speed, broadening the understanding of its stability conditions.
Findings
Einstein-aether theory can be stable with arbitrary phase velocities.
Previous assumptions about stability requiring light-speed modes are challenged.
The stability criteria are clarified for Lorentz-violating theories.
Abstract
The requirements for stability of a Lorentz violating theory are analyzed. In particular we conclude that Einstein-aether theory can be stable when its modes have any phase velocity, rather than only the speed of light as was argued in a recent paper.
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