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Lorentz violation in the linearized gravity
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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''.
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Modified gravitational wave propagations in linearized gravity with Lorentz and diffeomorphism violations and their gravitational wave constraints
No evidence of Lorentz or diffeomorphism violation is found in GWTC-3 gravitational waves, yielding 90% bounds on the lowest-dimension SME coefficients k(2)(I)00 and k(3)(V)jm.
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