Two fluid cosmological models in f(R) theory of gravitation

Katore, S. D.; Hatkar, S. P.

doi:10.1007/s12648-015-0740-6

Cited by 9 publications

(4 citation statements)

References 42 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…For the present study, we chose the special case of m = 3 to simplify our calculations. Similar approach have been used by various authors for instance Sharif & Shamir (2009) have considered a case of m = −2 and Katore & Hatkar (2016) considered special case of m = −4. In particular for m = 3, eq ( 11) and ( 20) gives,…”

Section: Solution Of the Field Equationsmentioning

confidence: 94%

Vacuum Solutions of FRW and Axially Symmetric Space–Time in f(R) Theory of Gravity

Agrawal

Pawar

2017

Iran J Sci Technol Trans Sci

View full text Add to dashboard Cite

In the present paper an attempt has been made to study the spatially homogeneous and isotropic FRW model and axially symmetric spacetime in f (R) theory of gravity. We have obtained the solutions of the field equations in vacuum. To find the solutions of axially symmetric space-time we have assumed the relation between scale factor and scalar field and also we considered that scalar expansion (θ) in the model is proportional to shear scalar (σ). The physical behavior for both models have been discussed by using physical parameters. The function of Ricci scalar is investigated for these models.

show abstract

Section: Solution Of the Field Equationsmentioning

confidence: 94%

Vacuum Solutions of FRW and Axially Symmetric Space–Time in f(R) Theory of Gravity

Agrawal

Pawar

2017

Iran J Sci Technol Trans Sci

View full text Add to dashboard Cite

show abstract

“…Mishra et al [14] studied the cosmological model of an accelerating dark energy in two fluids, with a mixed scale factor. Katore and Hatkar [15] have investigated FRW Universe in the framework of f (R) gravity with two co-moving perfect fluids as the source of gravitational fluid. Singh et al [16] have explored rotating anisotropic two-fluid Universe coupled with radiation and a scalar field.…”

Section: Introductionmentioning

confidence: 99%

FRW model with two-fluid source in fractal cosmology

2022

View full text Add to dashboard Cite

The present paper deals with flat Friedmann-Robertson-Walker (FRW) model with two-fluid sources in fractal cosmology. One fluid in this model represents the Universe's matter content, while the other is a radiation field that models the cosmic microwave background. To obtain the deterministic model, we used the pressuredensity relationship for matter via the gamma law equation of state p m = (γ − 1) ρ m , 1 ≤ γ ≤ 2. The solutions of fractal field equations are obtained in terms of Kummer's confluent hypergeometric function of the first kind. Some physical parameters of the models are obtained and their behaviour is discussed in detail using graphs.

show abstract

“…Among various dynamical DE models the equation of state (EoS) parameter ω(< 0) is the most natural candidate to play the role of DE. The popular DE 1310-0157 c 2022 Union of the Physicists in Bulgaria (UPB) models include quintessence [8,9], K-essence [10,11] phantom [12,13], quintom [14], tachyon [15] holographic DE [16][17][18], agegraphic DE [19,20], two fluid DE [21,22], anisotropic DE [23][24][25][26], etc. The scalar field with negative kinetic energy, which provided a solution is known as phantom dark energy.…”

Section: Introductionmentioning

confidence: 99%

Untitled

2022

Bulg.J.Phys.

View full text Add to dashboard Cite

The behavior of generalized ghost pilgrim dark energy (GGPDE) in the scope of axially symmetric space-time is studied in Barber's (Gen. Relativ. Gravitation 14 (1982) 117) second self creation theory. To analyze the results from the solutions of field equations, we have considered the special law of Hubble parameter that yields a constant value of the deceleration parameter. It is interesting to note that the equation of state parameter of GGPDE shows phantom like behavior. Moreover, a correspondence between GGPDE models and polytropic gas dark energy model, have been established. This correspondence allows us to reconstruct the potential of the polytropic scalar field as well as the dynamics of the scalar field according to the evolution of the GGPDE.

show abstract

Two fluid cosmological models in f(R) theory of gravitation

Cited by 9 publications

References 42 publications

Vacuum Solutions of FRW and Axially Symmetric Space–Time in f(R) Theory of Gravity

Vacuum Solutions of FRW and Axially Symmetric Space–Time in f(R) Theory of Gravity

FRW model with two-fluid source in fractal cosmology

Untitled

Contact Info

Product

Resources

About