Induced equation of state for the universe epochs constrained by the hubble parameter

Moraes, P. H. R. S.; Paula, W. de; Jesus, J. F.; Valentim, R.; Malheiro, M.

doi:10.1016/j.cjph.2021.04.021

Cited by 2 publications

(3 citation statements)

References 125 publications

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“…ab , where R (5) ab is the Ricci tensor) and defining a 4D hypersurface Σ 4 , where l = l 0 = constant, and…”

Section: ) *mentioning

confidence: 99%

“…Moreover, equations (2.3)-(2.6) are valid for our herein framework. It should be noted, however, that since the BD scalar field can play the role of a higher-dimensional matter, equations G (5) ab = 0 = R (5) ab = 0 are generally no longer valid. The action of the Brans-Dicke (BD) theory in five dimensions in the Jordan frame, in analogy with its standard counterpart, can be written as…”

Section: Modified Brans-dicke Theorymentioning

confidence: 99%

“…In the IMT, using Einstein's general theory of relativity (GR) as the underlying theory and using an appropriate reduction method, it has been shown that 5D KK equations without sources generates Einstein equations with the induced energy-momentum tensor (EMT). Cosmological/astrophysical applications of the IMT (or its extended versions) are widespread in the literature, see [1,4,5], and references therein. For instance, interesting solutions were obtained in Ref.…”

Section: Introductionmentioning

confidence: 99%

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Noncompactified Kaluza–Klein Gravity

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We present a brief description of noncompactified higher-dimensional theories from the perspective of general relativity. More concretely, the Space–Time–Matter theory, or Induced Matter theory, and the reduction procedure used to construct the modified Brans–Dicke theory and the modified Sáez–Ballester theory are briefly explained. Finally, we apply the latter to the Friedmann–Lemaître–Robertson–Walker (FLRW) cosmological models in arbitrary dimensions and analyze the corresponding solutions.

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“…ab , where R (5) ab is the Ricci tensor) and defining a 4D hypersurface Σ 4 , where l = l 0 = constant, and…”

Section: ) *mentioning

confidence: 99%

Section: Modified Brans-dicke Theorymentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Noncompactified Kaluza–Klein Gravity

2022

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Constraining the cosmological model using recent observational data*

Myrzakulov,

Koussour,

Alfedeel

et al. 2023

Chinese Phys. C

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In this paper, we consider a comprehensive investigation of the cosmological model described by $f(R,T) = R + 2\lambda T$ (where $\lambda$ represents a free parameter) in light of the most recent observational data. By constraining the model using $Hubble$ and $Pantheon$ datasets, we determine its compatibility with the observed behavior of the Universe. For this purpose, we adopt a parametric form for the effective equation of state (EoS) parameter. This parametric form allows us to describe the evolution of the EoS parameter with respect to redshift and investigate its behavior during different cosmic epochs. The analysis of the deceleration parameter reveals an accelerating Universe with a present value of $q_0=-0.64^{+0.03}_{-0.03}$, indicating the current phase of accelerated expansion. The transition redshift is found to be $z_{tr}=0.53^{+0.04}_{-0.03}$, marking the epoch of transition from deceleration to acceleration. We also analyze the evolution of important cosmological parameters including density parameter, pressure, effective EoS, and stability. \textbf{These findings collectively demonstrate the viability of the $f(R,T)$ cosmological model as a robust candidate capable of engendering the requisite negative pressure, thereby efficiently propelling cosmic expansion. Moreover, the undertaken stability analysis underscores the model's stability within the broader cosmic landscape. By providing the best-fit values for the coupling parameter $\lambda$, this approach motivates and encourages further explorations into the extensive landscape of this model and its potential applications across diverse realms of cosmology and astronomy.

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Induced equation of state for the universe epochs constrained by the hubble parameter

Cited by 2 publications

References 125 publications

Noncompactified Kaluza–Klein Gravity

Noncompactified Kaluza–Klein Gravity

Constraining the cosmological model using recent observational data*

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