On Gravity localization under Lorentz Violation in warped scenario

Abstract

Recently Rizzo studied the Lorentz Invariance Violation (LIV) in a brane scenario with one extra dimension where he found a non-zero mass for the four-dimensional graviton. This leads to the conclusion that five-dimensional models with LIV are not phenomenologically viable. In this work we re-examine the issue of Lorentz Invariance Violation in the context of higher dimensional theories. We show that a six-dimensional geometry describing a string-like defect with a bulk-dependent cosmological constant can yield a massless 4D graviton, if we allow the cosmological constant variation along the bulk, and thus can provides a phenomenologically viable solution for the gauge hierarchy problem.

13 pages, 2 figures. To appear in Physics Letters B

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Cited by in corpus (14)

• Black holes with a cosmological constant in bumblebee gravity
• Tensor perturbations of $f(T)$-branes
• Matter-gravity scattering in the presence of spontaneous Lorentz violation
• Information-Entropic for Travelling Solitons in Lorentz and CPT Breaking Systems
• Bianchi type I cosmology with a Kalb-Ramond background field
• Exotic Elko on String-Like Defects in Six Dimensions
• Kasner cosmology in bumblebee gravity
• Stars and quark stars in bumblebee gravity
• Regarding the Radion in Randall-Sundrum Models with Brane Curvature
• Super-entropy bumblebee AdS black holes
• One-loop radiative corrections in bumblebee-Stueckelberg model
• Ambiguities of the CPT-even aether-like Lorentz-breaking term at the finite temperature
• Monopoles on string-like models and the Coulomb's law
• A Concept of Assessment of LIV Tests with THESEUS Using the Gamma-Ray Bursts Detected by Fermi/GBM