Raychaudhuri-based reconstruction of anisotropic Einstein–Maxwell equation in 1+3 covariant formalism of f(R)-gravity

Tajahmad, Behzad

doi:10.1140/epjc/s10052-020-7986-7

Cited by 6 publications

(2 citation statements)

References 41 publications

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“…There are several ways to reconstruct a model of alternative theory such as reconstruction by parameterizing the Hubble parameter in terms of the redshift [21], reconstruction using the scalar field [22,23], reconstruction using the Raychaudhuri equation [24,25], and etc. Some new collections of the forms of unknown functions may also be achieved through the reconstruction method especially when one does the reconstruction through the scalar field.…”

Section: Introductionmentioning

confidence: 99%

Phase space of multi-fluid universe in F(T)-gravity and some enhancements for the oscillating interaction model

Tajahmad

Motavalli

2021

Eur. Phys. J. C

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Recently, a Friedmann–Robertson–Walker universe filled with various cosmological fluids has been considered by Odintsov et al. (Phys Rev D 96:044022, 2017) from phase space vantage point where various expressions for the Equation-of-State (EoS) parameter were studied. Since these types of EoS parameters are generative of appreciable results in the Hilbert–Einstein model, hence we intend to investigate all the cases in a homogeneous F(T)-gravity (T is the torsion) through phase space analysis in precise detail. In short, three viable models of interaction between dark matter and dark energy, including usual-type, power-law type, and oscillating type, are investigated comprehensively. It is indicated that the power-law interaction in the related dynamical systems should be of increasing nature with time to get more critical points. Due to the failure of the oscillating model of Odintsov et al. (2017) in F(T)-gravity, four modified models are suggested and examined in both F(T) and Hilbert–Einstein models. As to be seen, the modified models not only are generative of critical points equivalent to that of Odintsov et al. (2017), but also give rise to further critical points covering crucial stages of the evolution of the universe. In the context of these four models, such as the old one, at early times the interactions are negligible and they commence to grow as the cosmic time approaches the late-time in which the unification of early inflation and late acceleration is obtained. Using an indirect method, it is shown that the oscillating models have substantial roles in transitions between eras.

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Section: Introductionmentioning

confidence: 99%

Phase space of multi-fluid universe in F(T)-gravity and some enhancements for the oscillating interaction model

Tajahmad

Motavalli

2021

Eur. Phys. J. C

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“…Carrying more conserved currents as well as new forms of unknown functions are the main motivations for enhancing the method to the 'Beyond Noether Symmetry approach' (B.N.S.-approach) [19] and 'Combination of Sub-symmetries through Special Selections' (CSSS-approach) [20] that have recently been proposed with noteworthy outcomes. There are several ways to reconstruct a model of alternative theory such as reconstruction by parameterizing the Hubble parameter in terms of the redshift [21], reconstruction using the scalar field [22,23], reconstruction using the Raychaudhuri equation [24,25], and etcetera. Some new collections of the forms of unknown functions may also be achieved through the reconstruction method especially when one does the reconstruction through the scalar field.…”

Section: Introductionmentioning

confidence: 99%

Phase space of multi-fluid universe in $F(T)$-gravity and some enhancements for the oscillating interaction model

Tajahmad,

Motavalli

2021

Preprint

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Recently, a Friedmann-Robertson-Walker universe filled with various cosmological fluids has been considered by S.D. Odintsov et al. in [30] from phase space vantage point where various expressions for the Equation-of-State (EoS) parameter were studied. Since these types of EoS parameters are generative of appreciable results in the Hilbert-Einstein model, hence we intend to investigate all the cases in a homogeneous F (T )-gravity (T is the torsion) through phase space analysis in precise detail. In short, three viable models of interaction between dark matter and dark energy, including usual-type, power-law type, and oscillating type, are investigated comprehensively. It is indicated that the power-law interaction in the related dynamical systems should be of increasing nature with time to get more critical points. Due to the failure of the oscillating model of ref. [30] in F (T )-gravity, four modified models are suggested and examined in both F (T ) and Hilbert-Einstein models. As to be seen, the modified models not only are generative of critical points equivalent to that of ref. [30], but also give rise to further critical points covering crucial stages of the evolution of the universe. In the context of these four models, such as the old one, at early times the interactions are negligible and they commence to grow as the cosmic time approaches the late-time in which the unification of early inflation and late acceleration is obtained. Using an indirect method, it is shown that the oscillating models have substantial roles in transitions between eras.

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Bianchi I metric solutions with nonminimally coupled Einstein–Maxwell gravity theory

Ghaffarnejad

Gholipour

2021

Gen Relativ Gravit

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Raychaudhuri-based reconstruction of anisotropic Einstein–Maxwell equation in 1+3 covariant formalism of f(R)-gravity

Cited by 6 publications

References 41 publications

Phase space of multi-fluid universe in F(T)-gravity and some enhancements for the oscillating interaction model

Phase space of multi-fluid universe in F(T)-gravity and some enhancements for the oscillating interaction model

Phase space of multi-fluid universe in $F(T)$-gravity and some enhancements for the oscillating interaction model

Bianchi I metric solutions with nonminimally coupled Einstein–Maxwell gravity theory

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