A simple coupling with cosmological implications

Sáez, D.; Ballester, V.J.

doi:10.1016/0375-9601(86)90121-0

Cited by 297 publications

(230 citation statements)

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“…In this paper, we have discussed the modified holographic Ricci dark energy model in Kantowski-Sachs universe in the frame work of scalar-tensor theory of gravitation proposed by Saez and Ballester [11]. We have used the hybrid expansion law and relation between metric potentials to obtain a determinate solution of the field equations.…”

Section: Discussionmentioning

confidence: 99%

“…Most significant among them are f(R) gravity [8], f(R,T) gravity [9] where R is the Ricci scalar and T is the trace of the energy momentum tensor. Some other alternative theories of gravitation are scalar-tensor theories of gravitation formulated by Brans and Dicke [10] and Saez and Ballester [11]. Here, we focus our attention on Saez -Ballester [11] scalar tensor theory of gravitation.…”

Section: Introductionmentioning

confidence: 99%

“…Some other alternative theories of gravitation are scalar-tensor theories of gravitation formulated by Brans and Dicke [10] and Saez and Ballester [11]. Here, we focus our attention on Saez -Ballester [11] scalar tensor theory of gravitation.…”

Section: Introductionmentioning

confidence: 99%

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Kantowski–Sachs modified holographic Ricci dark energy model in Saez–Ballester theory of gravitation

Rao

Reddy

Babu³

2018

Can. J. Phys.

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We have considered Kantowski–Sachs space–time in the presence of matter and anisotropic modified holographic Ricci dark energy components in the scalar–tensor theory of gravitation formulated by Saez and Ballester (Phys. Lett. A, 113, 467, 1986) and derived the field equations of the theory. We have used (i) hybrid expansion law proposed by Akarsu et al. (JCAP, 022, 2014), (ii) a relation between metric potentials, and (iii) modified holographic Ricci dark energy density given by Chen and Jing (Phys. Lett. B, 679, 144, 2009) to obtain an exact solution of the field equations that describes a Kantowski–Sachs holographic modified Ricci dark energy universe in this theory. Physical and kinematical parameters are also computed and their physical behavior is discussed.

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Section: Discussionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Kantowski–Sachs modified holographic Ricci dark energy model in Saez–Ballester theory of gravitation

Rao

Reddy

Babu³

2018

Can. J. Phys.

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“…Several solutions have been consider for this problem, modifying the gravitational theory or introducing new forms of matter and interaccions. To address the dark matter problem Saez and Ballester (SB) (Saez & Ballester, 1986) formulated a scalar-tensor theory of gravitation in which the metric is coupled with a dimensionless scalar field. In a recent analysis using the standard scalar field cosmological models (Socorro et al, 2010;2011), contrary to claims in the specialized literature, it is shown that the SB theory cannot provide a realistic solution to the dark matter problem of Cosmology for the dust epoch, because the contribution of the scalar field is equivalent to stiff matter.…”

Section: Introductionmentioning

confidence: 99%

“…We employ in this work the Misner parametrization due that a natural way appear the anisotropy parameters to the scale factors. The simpler generalization to Lagrangian density for the SB theory (Saez & Ballester, 1986) with the cosmological term, is…”

Section: Introductionmentioning

confidence: 99%