Lorentz violation in the linearized gravity. (English) Zbl 1248.83020
Summary: We study some physical consequences of the introduction of a Lorentz-violating modification term in the linearized gravity, which leads to modified dispersion relations for gravitational waves in the vacuum. We discuss two possible mechanisms for the induction of such a term in the Lagrangian. First, it is generated at the quantum level by a Lorentz-breaking coupling of the gravity field to a spinor field. Second, it appears as consequence of a particular modification of the Poisson algebra of the canonical variables, in the spirit of the so-called “noncommutative fields approach”.
MSC:
| 83C25 | Approximation procedures, weak fields in general relativity and gravitational theory |
| 81V17 | Gravitational interaction in quantum theory |
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