A class of cosmological solutions in induced matter theory with conformally flat bulk space

Doroud, Nima; Rasouli, S. M. M.; Jalalzadeh, S.

doi:10.1007/s10714-009-0793-y

Cited by 16 publications

(18 citation statements)

References 38 publications

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“…Within this context, the suggestion is to replace the "base wood" of matter by the "pure marble" of geometry [5]. 12 The power-law solutions, in the conventional BD theory, have resemblance to the inflationary de Sitter attractor in GR. However, in the scalar-tensor gravity, these solutions have been assumed for investigating the quintessence models [32].…”

Section: Exact Solutions Of Bd Cosmology In (D + 1)-dimensional mentioning

confidence: 99%

Modified Brans–Dicke theory in arbitrary dimensions

Rasouli

Farhoudi

Moniz

2014

Class. Quantum Grav.

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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 Ddimensional 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.

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Section: Exact Solutions Of Bd Cosmology In (D + 1)-dimensional mentioning

confidence: 99%

Modified Brans–Dicke theory in arbitrary dimensions

Rasouli

Farhoudi

Moniz

2014

Class. Quantum Grav.

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“…In induced-matter theory, by starting from pure geometrical 5D field equations in vacuum, induced (effective) matter is obtained on a 4D space time, as a direct consequence of the extra dimensions, in accordance with embedding theorems [11][12][13][14]. Moreover, there are corresponding reduced cosmologies which can bear a reasonable agreement with specific cosmological observables [15][16][17][18]. Different cosmological models are present in the literature [1,9,10,[19][20][21][22], whose (effective) matter sources emerge from the geometry of higher dimensions.…”

Section: Introductionmentioning

confidence: 93%

Extended anisotropic models in noncompact Kaluza–Klein theory

Rasouli¹,

Moniz²

2019

Class. Quantum Grav.

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In this paper, new exact solutions for locally rotational symmetric (LRS) space-times are obtained within the modified Brans-Dicke theory (MBDT) [1]. Specifically, extended five-dimensional (5D) versions of Kantowski-Sachs, LRS Bianchi type I and Bianchi type III are investigated in the context of the standard Brans-Dicke theory. We subsequently extract their corresponding dynamics on a 4D hypersurface. Our results are discussed regarding others obtained in the standard Brans-Dicke theory, induced-matter theory and general relativity. Moreover, we comment on the evolution of the scale factor of the extra spatial dimension, which is of interest in Kaluza-Klein frameworks.

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“…It is well-known that the quantum mechanical system of the Hamiltonian (4.9) is conformally invariant [20], being reffered to as conformal quantum mechanics (CQM). To see this, we first construct the CQM action for H (4.9) from the Lagrangian formalism: 11) which is invariant under the non-relativistic conformal transformations:…”

Section: Tensor Perturbationmentioning

confidence: 99%

“…We assume that the matter is confined on a hypersurface at y = y m , where y is the fifth coordinate. It is known that this matter in the brane has a geometrical origin in space-time-matter (STM) theory or induced-matter theory (IMT)[9][10][11]. Also, the IMT has been extended to the modified Brans-Dicke theory (MBDT) of the type (1.1), where the induced matter exhibits interesting cosmological consequences[12,13].…”

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confidence: 99%

Spontaneous Symmetry Breaking in 5D Conformally Invariant Gravity

Moon

2016

Advances in High Energy Physics

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We explore the possibility of the spontaneous symmetry breaking in 5D conformally invariant gravity, whose action consists of a scalar field nonminimally coupled to the curvature with its potential. Performing dimensional reduction via ADM decomposition, we find that the model allows an exact solution giving rise to the 4D Minkowski vacuum. Exploiting the conformal invariance with Gaussian warp factor, we show that it also admits a solution which implement the spontaneous breaking of conformal symmetry. We investigate its stability by performing the tensor perturbation and find the resulting system is described by the conformal quantum mechanics. Possible applications to the spontaneous symmetry breaking of time-translational symmetry along the dynamical fifth direction and the brane-world scenario are discussed.

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A class of cosmological solutions in induced matter theory with conformally flat bulk space

Abstract: Some solutions of 5D conformally flat extension of induced-matter theory are derived. The corresponding induced matter solutions on the 4D hypersurfaces and their properties are presented.

Cited by 16 publications

References 38 publications

Modified Brans–Dicke theory in arbitrary dimensions

Modified Brans–Dicke theory in arbitrary dimensions

Extended anisotropic models in noncompact Kaluza–Klein theory

Spontaneous Symmetry Breaking in 5D Conformally Invariant Gravity

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