Self-similar scalar cosmologies

Belinchón, José Antonio

doi:10.1134/s0202289313040026

Cited by 3 publications

(1 citation statement)

References 33 publications

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“…but as we have pointed out in [31], with this metric we obtain a very complicate field equation (FE), since they depend on trigonometric functions. (3) To end, a Bianchi type VI ℎ (BVI ℎ ) is defined by…”

Section: Journal Of Gravitymentioning

confidence: 97%

Scalar-Tensor Bianchi VI Models

Belinchón

2013

Journal of Gravity

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We study how may vary the gravitational and the cosmological “constants,” ( and ) in several scalar-tensor theories with Bianchi III, , and symmetries. By working under the hypothesis of self-similarity we find exact solutions for two different theoretical models, which are the Jordan-Brans-Dicke (JBD) with and the usual JBD model with potential (that mimics the behaviour of . We compare both theoretical models, and some physical and geometrical properties of the solutions are also discussed putting special emphasis on the study of the isotropization of the solutions.

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Section: Journal Of Gravitymentioning

confidence: 97%

Scalar-Tensor Bianchi VI Models

Belinchón

2013

Journal of Gravity

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Bianchi VI h with variable gravitational and cosmological constants

Belinchón

2013

Astrophys Space Sci

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String inspired cosmological models through Lagrangian invariance

Belinchón

Polychroni

2020

Int. J. Geom. Methods Mod. Phys.

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We study a string inspired cosmological with variable potential through the Lagrangian invariance method in order to determine the form of the potential. We have studied four cases by combining the different fields, that is, the dilaton [Formula: see text] the potential [Formula: see text] the [Formula: see text]-field and the matter field (a perfect fluid). In all the studied cases, we found that the potential can only take two possible forms: [Formula: see text] and [Formula: see text] where [Formula: see text] and [Formula: see text] are numerical constants. We conclude that when we take into account the Kalb–Ramond field, i.e. the [Formula: see text]-field, then it is only possible to get a constant potential, [Formula: see text] Nevertheless, if this field is not considered, then we get two possible solutions for the potential: [Formula: see text] and [Formula: see text] In all the cases, if the potential is constant, [Formula: see text] then we get a de Sitter like solution for the scale factor of the metric, [Formula: see text], which verifies the [Formula: see text]-duality property, while if the potential varies, then we get a power-law solution for the scale factor, [Formula: see text] [Formula: see text]

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Self-similar scalar cosmologies

Cited by 3 publications

References 33 publications

Scalar-Tensor Bianchi VI Models

Scalar-Tensor Bianchi VI Models

Bianchi VI h with variable gravitational and cosmological constants

String inspired cosmological models through Lagrangian invariance

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