Lorentz violation in the linearized gravity

Abstract

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''.

14 pages, 1 figure, revtex4; v4: final version

References in corpus (5)

• Probing Noncommutativity with Inflationary Gravitational Waves
• Dispersion Relations in Noncommutative Theories
• Lorentz Violation and Gravity
• Constraint Analysis of Linearized Gravity and a Generalization of the HTZ Approach
• Scalar-graviton interaction in the noncommutative space

Cited by in corpus (6)

• Gauge invariance and the CPT and Lorentz violating induced Chern-Simons-like term in extended QED
• Time-delay and Doppler tests of the Lorentz symmetry of gravity
• Lorentz-violating contributions of the Carroll-Field-Jackiw model to the CMB anisotropy
• Classical solutions for the Lorentz-violating and CPT-even term of the Standard Model Extension
• Classical solutions for the Carroll-Field-Jackiw-Proca electrodynamics
• On the dual equivalence between self-dual and Maxwell-Chern-Simons models with Lorentz symmetry breaking