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. (C)
2012 Elsevier B.V. All rights reserved.
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