FRW Cosmology From Five Dimensional Vacuum Brans-Dicke Theory
arXiv:1005.2501 · doi:10.1007/s10714-010-1101-6
Abstract
We follow approach of induced matter theory for 5D vacuum BD, introduce induced matter and potential in 4D hypersurfaces, and employ generalized FRW type solution. We confine ourselves to scalar field and scale factors be functions of the time. This makes the induced potential, by its definition, vanishes. When the scale factor of fifth dimension and scalar field are not constants, 5D eqs for any geometry admit a power law relation between scalar field and scale factor of fifth dimension. Hence the procedure exhibits that 5D vacuum FRW like eqs are equivalent, in general, to corresponding 4D vacuum ones with the same spatial scale factor but new scalar field and coupling constant. We show that 5D vacuum FRW like eqs or its equivalent 4D vacuum ones admit accelerated solutions. For constant scalar field, eqs reduce to usual FRW eqs with typical radiation dominated universe. For this situation we obtain dynamics of scale factors for any geometry without any priori assumption. For nonconstant scalar fields and spatially flat geometries, solutions are found to be power law and exponential ones. We also employ weak energy condition for induced matter, that allows negative/positive pressures. All types of solutions fulfill WEC in different ranges. The power law solutions with negative/positive pressures admit both decelerating and accelerating ones. Some solutions accept shrinking extra dimension. By considering nonghost scalar fields and recent observational measurements, solutions are more restricted. We illustrate that accelerating power law solutions, which satisfy WEC and have nonghost fields, are compatible with recent observations in ranges -4/3 < ω</- -1.3151 and 1.5208 </- n < 1.9583 for dependence of fifth dimension scale factor with usual scale factor. These ranges also fulfill condition nonghost fields in the equivalent 4D vacuum BD eqs.
arXiv comment18 pages, 16 figures, 11 tables
References in corpus (24)
- Observational Evidence from Supernovae for an Accelerating Universe and a Cosmological Constant
- Measurements of Omega and Lambda from 42 High-Redshift Supernovae
- Discovery of a Supernova Explosion at Half the Age of the Universe and its Cosmological Implications
- A Flat Universe from High-Resolution Maps of the Cosmic Microwave Background Radiation
- MAXIMA-1: A Measurement of the Cosmic Microwave Background Anisotropy on angular scales of 10 arcminutes to 5 degrees
- The Cosmic Triangle: Revealing the State of the Universe
- Kaluza-Klein Gravity
- Multiple Peaks in the Angular Power Spectrum of the Cosmic Microwave Background: Significance and Consequences for Cosmology
- Cosmic acceleration without quintessence
- Measuring and Understanding the Universe
- Current constraints on the cosmic growth history
- Testing General Relativity with Current Cosmological Data
- Application of the Campbell-Magaard theorem to higher-dimensional physics
- Bouncing Universes with Varying Constants
- Why is the Universe Accelerating?
- On Applications of Campbell's Embedding Theorem
- 5-dimensional Brans-Dicke Theory and Cosmic Acceleration
- Dissipative Fluid in Brans Dicke theory and late time acceleration
- Modified Brans-Dicke theory of gravity from five-dimensional vacuum
- Brans-Dicke Cosmology in 4D from scalar-vacuum in 5D
- Noncompact KK theory of gravity: stochastic treatment for a nonperturbative inflaton field in a de Sitter expansion
- Late time cosmic acceleration from vacuum Brans-Dicke theory in 5D
- Inflaton field governed universe from NKK theory of gravity: stochastic approach
- A weak lensing detection of a deviation from General Relativity on cosmic scales
Cited by in corpus (17)
- Modified Gravity and Cosmology
- Cosmological and Solar System Consequences of f(R,T) Gravity Models
- Anisotropic Cosmological Model in Modified Brans--Dicke Theory
- Cosmic Acceleration From Matter-Curvature Coupling
- Cosmic Evolution in Brans-Dicke Chameleon Cosmology
- Modified Brans-Dicke Theory in Arbitrary Dimensions
- Double Field Theory Inspired Cosmology
- Modified Brans-Dicke cosmology with matter-scalar field interaction
- Cosmic Evolution in Self-Interacting Brans-Dicke Cosmology
- Dark Energy From Fifth Dimensional Brans-Dicke Theory
- Chameleon Field Dynamics During Inflation
- Whether Lyra's Manifold Itself is a Hidden Source of Dark Energy
- Higher-order gravity in higher dimensions: Geometrical origins of four-dimensional cosmology?
- On the emergence of the CDM model from self-interacting Brans-Dicke theory in
- Interacting Induced Dark Energy Model
- Ether and Relativity
- FLRW Cosmology of Induced Dark Energy Model and Open Universe