Anisotropic new holographic dark energy model in Saez–Ballester theory of gravitation

Aditya, Y.; Reddy, D. R. K.

doi:10.1007/s10509-018-3429-4

Cited by 37 publications

(12 citation statements)

References 78 publications

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“…Sharif et al [61] have investigated BT-I new HDE model in the background of BD theory of gravity. Aditya and Reddy [62] have investigated anisotropic new HDE model in the framework of SB theory of gravitation.…”

Section: (): V-volmentioning

confidence: 99%

Kantowski–Sachs Tsallis holographic dark energy model with sign-changeable interaction

Sobhanbabu¹,

Santhi

2021

Eur. Phys. J. C

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In this work devoted to the investigation of the Tsallis holographic dark energy (IR cut-off is Hubble radius) in homogeneous and anisotropic Kantowski–Sachs Universe within the frame-work of Saez–Ballester scalar tensor theory of gravitation. We have constructed non-interacting and interacting Tsallis holographic dark energy models by solving the field equations using the relationship between the metric potentials. This relation leads to a viable deceleration parameter model which exhibits a transition of the Universe from deceleration to acceleration. In interacting case, we focus on sign-changeable interaction between Tsallis holographic dark energy and dark matter. The dynamical parameters like equation of state parameter, energy densities of Tsallis holographic dark energy and dark matter, deceleration parameter, and statefinder parameters of the models are explained through graphical representation. And also, we discussed the stability analysis of the our models.

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Section: (): V-volmentioning

confidence: 99%

Kantowski–Sachs Tsallis holographic dark energy model with sign-changeable interaction

Sobhanbabu¹,

Santhi

2021

Eur. Phys. J. C

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“…He has shown that various types of potentials, the equation of state parameter is negative and transition from deceleration to acceleration expansion of the Universe is possible. Many researchers [21][22][23][24][25][26][27][28][29][30] have studied HDE models in various theories of gravitation. In particular, Mazumder and Chakraborty [31] have investigated the validity of the generalized second law of thermodynamics of the universe bounded by the event horizon in the holographic DE model.…”

Section: T I Jmentioning

confidence: 99%

“…Jawad et al [38] have discussed the modified holographic Ricci DE model in Chameleon Brans-Dicke gravity with its energy density in interaction with energy density of Cold Dark Matter (CDM) and explored its thermodynamic consequence. Aditya and Reddy [39] have investigated anisotropic new holographic dark energy model in the framework of Saez-Ballester theory of gravitation. Very recently, Prasanthi and Aditya [40] have investigated anisotropic Renyi HDE models in the framework of general relativity.…”

Section: T I Jmentioning

confidence: 99%

Bianchi type-III Tsallis holographic dark energy model in Saez–Ballester theory of gravitation

Santhi

Sobhanbabu

2020

Eur. Phys. J. C

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In this paper, we have investigated Tsallis holographic dark energy (infrared cutoff is the Hubble radius) in homogeneous and anisotropic Bianchi type-III Universe within the framework of Saez–Ballester scalar–tensor theory of gravitation. We have constructed non-interaction and interaction dark energy models by solving the Saez–Ballester field equations. To solve the field equations, we assume a relationship between the metric potentials of the model. We developed the various cosmological parameters (namely deceleration parameter q, equation of state parameter $$\omega _t$$ ω t , squared sound speed $$v_s^2$$ v s 2 , om-diagnostic parameter Om(z) and scalar field $$\phi $$ ϕ ) and well-known cosmological planes (namely $$\omega _t-\omega _t^{'}$$ ω t - ω t ′ plane, where $$'$$ ′ denotes derivative with respect to ln(a) and statefinders ($$r-s$$ r - s ) plane) and analyzed their behavior through graphical representation for our both the models. It is also, quite interesting to mention here that the obtained results are coincide with the modern observational data.

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“…Although this seems like a trivial conclusion, lots of work published on the issue incorrectly identify the above theory as a modification of general relativity (as a scalar-tensor theory to be precise). For a non-exhaustive sample see references [31][32][33][34][35][36][37]. An additional source of confusion may be related with the issue on the physical equivalence between the different conformal frames in which a given scalar-tensor theory can be formulated, also known as the 'conformal transformations issue' [38][39][40][41][42][43][44].…”

Section: Introductionmentioning

confidence: 99%

An issue with the classification of the scalar–tensor theories of gravity

Quirós

Arcia

García-Salcedo

et al. 2020

Int. J. Mod. Phys. D

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In the bibliography a certain confusion arises in what regards to the classification of the gravitational theories into scalar-tensor theories and general relativity with a scalar field either minimally or non-minimally coupled to matter. Higher-derivatives Horndeski and beyond Horndeski theories that at first sight do not look like scalar-tensor theories only add to the confusion. To further complicate things, the discussion on the physical equivalence of the different conformal frames in which a given scalar-tensor theory may be formulated, makes even harder to achieve a correct classification. In this paper we propose a specific criterion for an unambiguous identification of scalar-tensor theories and discuss its impact on the conformal transformations issue. The present discussion carries not only pedagogical but also scientific interest since an incorrect classification of a given theory as a scalartensor theory of gravity may lead to conceptual issues and to the consequent misunderstanding of its physical implications.

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Anisotropic new holographic dark energy model in Saez–Ballester theory of gravitation

Cited by 37 publications

References 78 publications

Kantowski–Sachs Tsallis holographic dark energy model with sign-changeable interaction

Kantowski–Sachs Tsallis holographic dark energy model with sign-changeable interaction

Bianchi type-III Tsallis holographic dark energy model in Saez–Ballester theory of gravitation

An issue with the classification of the scalar–tensor theories of gravity

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