Noncompactified Kaluza–Klein Gravity

Rasouli, S. M. M.; Jalalzadeh, S.; Moniz, Paulo Vargas

doi:10.3390/universe8080431

Cited by 6 publications

(4 citation statements)

References 123 publications

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“…Therefore, to address the problems with the observed discrepancies and limitations of the ΛCDM model, various generalized models have been proposed, including modified gravity models, such as MOND (Modified Newtonian Dynamics) [20,21], f (R) gravity [22][23][24][25], entropic gravity [26,27], bimetric gravity [28][29][30][31][32] minimally coupled Einstein scalar field system [33][34][35]; scalar-tensor theories [36][37][38][39], specifically, the Brans-Dicke theory [40][41][42], and their corresponding noncommutative extensions [43][44][45][46]; generalized Chaplygin gas models [47,48]; and establishing modified fundamental models from their corresponding standard ones in higher dimensions [49][50][51][52][53][54].…”

Section: Introductionmentioning

confidence: 99%

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Fractional Scalar Field Cosmology

Rasouli,

Cheraghchi,

Moniz

2024

Fractal Fract

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Considering the Friedmann–Lemaître–Robertson–Walker (FLRW) metric and the Einstein scalar field system as an underlying gravitational model to construct fractional cosmological models has interesting implications in both classical and quantum regimes. Regarding the former, we just review the most fundamental approach to establishing an extended cosmological model. We demonstrate that employing new methodologies allows us to obtain exact solutions. Despite the corresponding standard models, we cannot use any arbitrary scalar potentials; instead, it is determined from solving three independent fractional field equations. This article concludes with an overview of a fractional quantum/semi-classical model that provides an inflationary scenario.

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Section: Introductionmentioning

confidence: 99%

“…Let us now present an overview of our fractional quantum cosmological model. The fractional ADM Hamiltonian is obtained by employing the transformation (57) into Equation (34), which provides…”

mentioning

confidence: 99%

Fractional Scalar Field Cosmology

Rasouli,

Cheraghchi,

Moniz

2024

Fractal Fract

Self Cite

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“…In this framework, possible extensions/modifications of GR attempt to address these issues either by modifying the gravitational action or relaxing various assumptions of GR. To the latter category belong theories, e.g., with affine connections different than Levi-Civita [20][21][22][23], breaking the Lorentz invariance [24], considering higher dimensions [25][26][27][28], etc. (see [29,30] for examples of alternatives to GR).…”

Section: Introductionmentioning

confidence: 99%

The Noether Symmetry Approach: Foundation and Applications: The Case of Scalar-Tensor Gauss–Bonnet Gravity

Bajardi,

Capozziello,

Di Salvo

et al. 2023

Symmetry

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We sketch the main features of the Noether Symmetry Approach, a method to reduce and solve dynamics of physical systems by selecting Noether symmetries, which correspond to conserved quantities. Specifically, we take into account the vanishing Lie derivative condition for general canonical Lagrangians to select symmetries. Furthermore, we extend the prescription to the first prolongation of the Noether vector. It is possible to show that the latter application provides a general constraint on the infinitesimal generator ξ, related to the spacetime translations. This approach can be used for several applications. In the second part of the work, we consider a gravity theory, including the coupling between a scalar field ϕ and the Gauss–Bonnet topological term G. In particular, we study a gravitational action containing the function F(G,ϕ) and select viable models by the existence of symmetries. Finally, we evaluate the selected models in a spatially flat cosmological background and use symmetries to find exact solutions.

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“…Moreover, BD theory concerns the geometrical nature of the scalar field which is considered an attractive feature of this theory. In this BD theory with a chameleon scalar field, the scalar potential and the matter field emerge from the geometry of the extra dimensions rather than some ad hoc assumptions, is an appropriate and fundamental alternative to the standard BD theory [ 34 , 35 , 36 , 37 , 38 ]. Wesson and Ponce de Leon [ 39 ] induced matter theory, where contends that the additional parametric terms resulting from the added dimension Einstein’s

equations can also be connected with an efficient energy tensor in

theory was inspired by this disparity between a fine marble of geometrical as well as the low-grade wood of matter.…”

Section: Introductionmentioning

confidence: 99%

Cosmic and Thermodynamic Consequences of Kaniadakis Holographic Dark Energy in Brans–Dicke Gravity

Sania

Azhar

Rani

et al. 2023

Entropy

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In this manuscript, we investigate the cosmological and thermodynamic aspects of the Brans–Dicke theory of gravity for a spatially flat FRW universe. We consider a theoretical model for interacting Kaniadakis holographic dark energy with the Hubble horizon as the infrared cutoff. We deal with two interaction scenarios (Q1 and Q2) between Kaniadakis holographic dark energy and matter. In this context, we study different possible aspects of cosmic evolution through some well-known cosmological parameters such as Hubble (H), deceleration (q), jerk (j), and equation of state (ωd). For both interaction terms, it is observed that the deceleration parameter exhibits early deceleration to the current accelerating universe and also lies within the suggested range of Planck data. The equation of state parameter shows quintessence behavior (for the first interaction term) and phantom-like behavior (for the second interaction term) of the universe. The jerk parameter represents consistency with the ΛCDM model for both interaction terms. In the end, we check the thermodynamic behavior of the underlying model. It is interesting to mention here that the generalized second law of thermodynamics holds for both cases of interaction terms.

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Noncompactified Kaluza–Klein Gravity

Cited by 6 publications

References 123 publications

Fractional Scalar Field Cosmology

Fractional Scalar Field Cosmology

The Noether Symmetry Approach: Foundation and Applications: The Case of Scalar-Tensor Gauss–Bonnet Gravity

Cosmic and Thermodynamic Consequences of Kaniadakis Holographic Dark Energy in Brans–Dicke Gravity

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