Bianchi type-III models with anisotropic dark energy in Brans–Dicke–Rastall theory

Salako, Ines G.; Jawad, Abdul

doi:10.1007/s10509-015-2494-1

Cited by 10 publications

(8 citation statements)

References 61 publications

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“…Therefore, because λ is constant and the R(4κ λ − 1) = κ T condition applies to all spacetimes and energy-momentum sources, the κ λ = 1 4 case is not allowed [23]. More studies on the various aspects of this theory can be found in [74,[77][78][79][80][81][82][83][84][85][86][87][88][89][90].…”

Section: A Brief Review On the Rastall Theorymentioning

confidence: 99%

A generalization to the Rastall theory and cosmic eras

Moradpour¹,

Heydarzade²,

Darabi³

et al. 2017

Eur. Phys. J. C

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125

142

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A generalized version for the Rastall theory is proposed showing the agreement with the cosmic accelerating expansion. In this regard, a coupling between geometry and the pressureless matter fields is derived which may play the role of dark energy, responsible for the current accelerating expansion phase. Moreover, our study also shows that the radiation field may not be coupled to the geometry in a non-minimal way which represents that the ordinary energymomentum conservation law is respected by the radiation source. It is also shown that the primary inflationary era may be justified by the ability of the geometry to couple to the energy-momentum source in an empty flat FRW universe. In fact, this ability is independent of the existence of the energymomentum source and may compel the empty flat FRW universe to expand exponentially. Finally, we consider a flat FRW universe field by a spatially homogeneous scalar field evolving in potential V(φ), and study the results of applying the slow-roll approximation to the system which may lead to an inflationary phase for the universe expansion.

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Section: A Brief Review On the Rastall Theorymentioning

confidence: 99%

A generalization to the Rastall theory and cosmic eras

Moradpour¹,

Heydarzade²,

Darabi³

et al. 2017

Eur. Phys. J. C

Self Cite

125

142

View full text Add to dashboard Cite

show abstract

“…(4), the functionality of S R A with respect to the horizon area (A) is the same as that of the Bekenstein-Hawking entropy (S R A ∼ A) meaning that S R A may be considered as a special case of Eq. (22). More detailed studies on gravitational and cosmological implications of Tsallis entropy (22) can be found in Refs.…”

Section: Rényi Entropy and Friedmann Equationsmentioning

confidence: 99%

“…(22). More detailed studies on gravitational and cosmological implications of Tsallis entropy (22) can be found in Refs. [63][64][65][66][67][68][69][70][71][72] and references therein.…”

Section: Rényi Entropy and Friedmann Equationsmentioning

confidence: 99%

Accelerated cosmos in a nonextensive setup

Moradpour¹,

Bonilla²,

Abreu³

et al. 2017

Phys. Rev. D

126

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Here, we consider a flat FRW universe whose its horizon entropy meets the Rényi entropy of nonextensive systems. In our model, the ordinary energy-momentum conservation law is not always valid. By applying the Clausius relation as well as the Cai-Kim temperature to the apparent horizon of a flat FRW universe, we obtain modified Friedmann equations. Fitting the model to the observational data on current accelerated universe, some values for the model parameters are also addressed. Our study shows that the current accelerating phase of universe expansion may be described by a geometrical fluid, originated from the non-extensive aspects of geometry, which models a varying dark energy source interacting with matter field in the Rastall way. Moreover, our results indicate that the probable non-extensive features of spacetime may also be used to model a varying dark energy source which does not interact with matter field, and is compatible with the current accelerated phase of universe.

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“…More studies on this theory can also be found in Refs. [37][38][39][40][41][42][43][44][45][46][47][48][49][50][51].…”

Section: Introductionmentioning

confidence: 99%

Thermodynamic Analysis of the Static Spherically Symmetric Field Equations in Rastall Theory

Moradpour

Salako

2016

Advances in High Energy Physics

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The restrictions on the Rastall theory due to apply the Newtonian limit to the theory are derived. In addition, we use the zero-zero component of the Rastall field equations as well as the unified first law of thermodynamics to find the Misner-Sharp mass content confined to the event horizon of the spherically symmetric static spacetimes in the Rastall framework. The obtained relation is calculated for the Schwarzschild and de-Sitter back holes as two examples. Bearing the obtained relation for the Misner-Sharp mass in mind together with recasting the one-one component of the Rastall field equations into the form of the first law of thermodynamics, we obtain expressions for the horizon entropy and the work term. Finally, we also compare the thermodynamic quantities of system, including energy, entropy and work, with their counterparts in the Einstein framework to have a better view about the role of the Rastall hypothesis on the thermodynamics of system.

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Bianchi type-III models with anisotropic dark energy in Brans–Dicke–Rastall theory

Cited by 10 publications

References 61 publications

A generalization to the Rastall theory and cosmic eras

A generalization to the Rastall theory and cosmic eras

Accelerated cosmos in a nonextensive setup

Thermodynamic Analysis of the Static Spherically Symmetric Field Equations in Rastall Theory

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