Modified Brans-Dicke theory of gravity from five-dimensional vacuum
arXiv:0705.0548 · doi:10.1007/s10714-007-0517-0
Abstract
We investigate, in the context of five-dimensional (5D) Brans-Dicke theory of gravity, the idea that macroscopic matter configurations can be generated from pure vacuum in five dimensions, an approach first proposed in the framework of general relativity. We show that the 5D Brans-Dicke vacuum equations when reduced to four dimensions lead to a modified version of Brans-Dicke theory in four dimensions (4D). As an application of the formalism, we obtain two five-dimensional extensions of four-dimensional O'Hanlon and Tupper vacuum solution and show that they lead two different cosmological scenarios in 4D.
9 pages
References in corpus (13)
- First Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Determination of Cosmological Parameters
- Kaluza-Klein Gravity
- Application of the Campbell-Magaard theorem to higher-dimensional physics
- On Applications of Campbell's Embedding Theorem
- The embedding of the spacetime in five dimensions: an extension of Campbell-Magaard theorem
- The embedding of the spacetime in five-dimensional spaces with arbitrary non-degenerate Ricci tensor
- Brans-Dicke brane cosmology
- Embeddings in Spacetimes Sourced by Scalar Fields
- The propensity of molecules to spatially align in intense light fields
- Noncompact KK theory of gravity: stochastic treatment for a nonperturbative inflaton field in a de Sitter expansion
- Universe Evolution in a 5D Ricci-flat Cosmology
- Inflaton field governed universe from NKK theory of gravity: stochastic approach
- Ideally embedded space-times
Cited by in corpus (12)
- Anisotropic Cosmological Model in Modified Brans--Dicke Theory
- Modified Brans-Dicke Theory in Arbitrary Dimensions
- FRW Cosmology From Five Dimensional Vacuum Brans-Dicke Theory
- Brans-Dicke Cosmology in 4D from scalar-vacuum in 5D
- Modified Saez-Ballester scalar-tensor theory from 5D space-time
- Dark Energy From Fifth Dimensional Brans-Dicke Theory
- Geodesic deviation in Saez--Ballester theory
- Extended anisotropic models in noncompact Kaluza-Klein theory
- Higher-order gravity in higher dimensions: Geometrical origins of four-dimensional cosmology?
- Reconstructing exact scalar-tensor cosmologies via conformal transformations
- Energy conditions in a modified Brans-Dicke theory
- FLRW Cosmology of Induced Dark Energy Model and Open Universe