21,665 research outputs found
On Gravity localization under Lorentz Violation in warped scenario
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.Comment: 13 pages, 2 figures. To appear in Physics Letters
Extending the ADM formalism to Weyl geometry
In order to treat quantum cosmology in the framework of Weyl spacetimes we
take the first step of extending the Arnowitt-Deser-Misner formalism to Weyl
geometry. We then obtain an expression of the curvature tensor in terms of
spatial quantities by splitting spacetime in (3+1)-dimensional form. We next
write the Lagrangian of the gravitation field based in Weyl-type gravity
theory. We extend the general relativistic formalism in such a way that it can
be applied to investigate the quantum cosmology of models whose spacetimes are
endowed with a Weyl geometrical structure.Comment: 10 page
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