Modified Brans-Dicke Theory in Arbitrary Dimensions

Abstract

Within an algebraic framework, used to construct the induced-matter-theory (IMT) setting, in $(D+1)$-dimensional Brans-Dicke (BD) scenario, we obtain a modified BD theory (MBDT) in $D$ dimensions. Being more specific, from the $(D+1)$-dimensional field equations, a $D$--dimensional BD theory, bearing new features, is extracted by means of a suitable dimensional reduction onto a hypersurface orthogonal to the extra dimension. In particular, the BD scalar field in such $D$-dimensional theory has a self-interacting potential, which can be suitably interpreted as produced by the extra dimension. Subsequently, as an application to cosmology, we consider an extended spatially flat FLRW geometry in a $(D+1)$-dimensional space-time. After obtaining the power-law solutions in the bulk, we proceed to construct the corresponding physics, by means of the induced MBDT procedure, on the $D$-dimensional hypersurface. We then contrast the resulted solutions (for different phases of the universe) with those usually extracted from the conventional GR and BD theories in view of current ranges for cosmological parameters. We show that the induced perfect fluid background and the induced scalar potential can be employed, within some limits, for describing different epochs of the universe. Finally, we comment on the observational viability of such a model.

22 pages, 8 figures

References in corpus (41)

• Planck 2013 results. XVI. Cosmological parameters
• The Confrontation between General Relativity and Experiment
• Kaluza-Klein Gravity
• The Trans-Planckian Problem of Inflationary Cosmology
• Scalar-tensor gravity in an accelerating universe
• Extended Quintessence
• Nonminimal coupling and quintessence
• Cosmic acceleration without quintessence
• Quintessence, super-quintessence and observable quantities in Brans-Dicke and non-minimally coupled theories
• Late time acceleration in Brans Dicke Cosmology
• Application of the Campbell-Magaard theorem to higher-dimensional physics
• Illusions of general relativity in Brans-Dicke gravity
• $D$-Dimensional Gravity from $(D+1)$ Dimensions
• Equivalence Between Space-Time-Matter and Brane-World Theories
• On Applications of Campbell's Embedding Theorem
• Self interacting Brans Dicke cosmology and Quintessence
• 5-dimensional Brans-Dicke Theory and Cosmic Acceleration
• Massless Fileds in Scalar-Tensor Cosmologies
• Behavior of Friedmann-Robertson-Walker Cosmological Models in Scalar-Tensor Gravity
• Brans-Dicke Theory as a Unified Model for Dark Matter - Dark Energy
• Dissipative Fluid in Brans Dicke theory and late time acceleration
• The Limits of Extended Quintessence
• Constraints on the Brans-Dicke gravity theory with the Planck data
• Observational Constraints On Power-Law Cosmologies
• Cosmological Effects of Radion Oscillations
• Anisotropic Cosmological Model in Modified Brans--Dicke Theory
• Extended quintessence, inflation, and stable de Sitter spaces
• Exact solutions of Brans-Dicke cosmology with decaying vacuum density
• Modified Brans-Dicke theory of gravity from five-dimensional vacuum
• FRW Cosmology From Five Dimensional Vacuum Brans-Dicke Theory
• Brans-Dicke Scalar Field as a Unique k-essence
• Reinventing spacetime on a dynamical hypersurface
• Horizon Problem Remediation via Deformed Phase Space
• Cosmological models with dynamical lambda in scalar-tensor theories
• Conformal relativity versus Brans-Dicke and superstring theories
• Cosmological Implications of 5-dimensional Brans-Dicke Theory
• An analytic model for the transition from decelerated to accelerated cosmic expansion
• Brans-Dicke geometry
• The Landscape of Theoretical Physics: A Global View; From Point Particles to the Brane World and Beyond, in Search of a Unifying Principle
• Brans-Dicke theory of gravity with torsion: A possible solution of the $\omega$-problem
• Kaluza-Klein gravity in the context of modern embedding theories of spacetime

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• Non-singular Brans-Dicke collapse in deformed phase space
• Kinetic inflation in deformed phase space Brans-Dicke cosmology
• Phase space analysis of the bouncing universe with stringy effects
• Trapped surfaces and nature of singularities in Lyra's geometry
• Geodesic deviation in Saez--Ballester theory
• Analytic Solutions of Brans-Dicke Cosmology: Early Inflation and Late Time Accelerated Expansion
• Noncompactified Kaluza--Klein Gravity
• Fractional Einstein-Gauss-Bonnet scalar field cosmology
• Geodesic deviation equation in Brans-Dicke theory in arbitrary dimensions
• On the emergence of the $\mathbf{\Lambda }$CDM model from self-interacting Brans-Dicke theory in $\mathbf{d}=5$
• Ether and Relativity
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• Phase space noncommutativity, power-law inflation and quantum cosmology