On the ambiguities in the effective action in Lorentz-violating gravity

Abstract

We investigate the occurrence of ambiguities for Lorentz-violating gravitational Chern-Simons term. It turns out that this term is accompanied by a coefficient depending on an undetermined parameter, due to an arbitrariness in the choice of the conserved current.

9 pages, minor corrections

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• Four-dimensional aether-like Lorentz-breaking QED revisited and problem of ambiguities
• The Gödel solution in the modified gravity
• There is No Ambiguity in the Radiatively Induced Gravitational Chern-Simons Term
• Chern-Simons modified gravity and closed time-like curves
• Arbitrariness in the gravitational Chern-Simons-like term induced radiatively
• Dynamical Chern-Simons modified gravity, Godel Universe and variable cosmological constant
• Ricci-Gauss-Bonnet holographic dark energy in Chern-Simons modified gravity: A flat FLRW quintessence-dominated universe
• Gravitational Instabilities of the Cosmic Neutrino Background with Non-zero Lepton Number
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• The role of singular spinor fields in a torsional gravity, Lorentz-violating, framework
• Antimatter, the SME, and Gravity
• Induction of the Lorentz-violating effective actions in quantum electrodynamics
• Fate of chiral symmetry in Riemann-Cartan geometry
• Antimatter-Gravity Couplings, and Lorentz Symmetry