Anisotropic Extra Dimensions
arXiv:1102.5725 · doi:10.1103/PhysRevD.84.025016
Abstract
We consider the scenario where in a five-dimensional theory, the extra spatial dimension has different scaling than the other four dimensions. We find background maximally symmetric solutions, when the bulk is filled with a cosmological constant and at the same time it has a three-brane embedded in it. These background solutions are reminiscent of Randall-Sundrum warped metrics, with bulk curvature depending on the parameters of the breaking of diffeomorphism invariance. Subsequently, we consider the scalar perturbation sector of the theory and show that it has certain pathologies and the striking feature that in the limit where the diffeomorphism invariance is restored, there remain ghost scalar mode(s) in the spectrum.
12 pages, no figures, comments and references added, published version
References in corpus (7)
- Quantum Gravity at a Lifshitz Point
- Conditions for the cosmological viability of f(R) dark energy models
- Strong coupling in Horava gravity
- Horava-Lifshitz Cosmology: A Review
- On the Extra Mode and Inconsistency of Horava Gravity
- The good, the bad and the ugly .... of Horava gravity
- Gravitational Higgs Mechanism and Massive Gravity