On Gravity localization under Lorentz Violation in warped scenario

TL;DR

This paper investigates Lorentz Invariance Violation in higher-dimensional warped models and demonstrates that a six-dimensional string-like defect can produce a massless 4D graviton, offering a viable solution to the gauge hierarchy problem.

Contribution

It shows that allowing a bulk-dependent cosmological constant in six-dimensional models can preserve a massless graviton despite LIV, contrasting prior results in five dimensions.

Findings

A six-dimensional string-like defect can yield a massless 4D graviton with LIV.

Bulk-dependent cosmological constant enables phenomenologically viable models.

Re-examines LIV effects, challenging previous five-dimensional conclusions.

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.