Scalar-Tensor and Multiscalar-Tensor Gravity and Cosmological Models

Kuusk, Piret; Järv, Laur; Randla, Erik

doi:10.1007/978-3-642-55361-5_40

Cited by 6 publications

(10 citation statements)

References 27 publications

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“…The action (4) is again invariant (up to a total divergence term) under the conformal rescaling of the metric and redefinitions of the scalar fields. For example, in the case of two fields, it is possible to arrange the fields in the way that one field, Ψ, is responsible for the dynamical contribution to the gravitational constant, while the other field φ is not, so that in the Jordan frame [13,14] …”

Section: Multiscalar-(curvature)tensor Gravitymentioning

confidence: 99%

Effective Gravitational “Constant” in Scalar-(Curvature)Tensor and Scalar-Torsion Gravities

Järv

2017

Universe

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Abstract:In theories where a scalar field couples nonminimally to gravity, the effective gravitational "constant" becomes dependent on the value of the scalar field. This note first gives a brief review on how the cosmological evolution provides a dynamical stabilization for the gravitational "constant" as the system relaxes towards general relativity in matter dominated and potential dominated regimes for scalar-(curvature)tensor and scalar-torsion gravities. Second part summarizes the radius dependence of the gravitational "constant" around a point mass in the parametrized post-Newtonian formalism for scalar-tensor and multiscalar-tensor gravity.

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Section: Multiscalar-(curvature)tensor Gravitymentioning

confidence: 99%

Effective Gravitational “Constant” in Scalar-(Curvature)Tensor and Scalar-Torsion Gravities

Järv

2017

Universe

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“…Now let us consider the Jordan frame in the Brans-Dicke-Bergmann-Wagoner type parametrization (8). 11,21 Analogously to the previous case, we define an invariant metriĉ g (J) µν = e 2α g µν .…”

Section: Jordan Framementioning

confidence: 99%

Invariant quantities in the multiscalar-tensor theories of gravitation

Kuusk

Järv

Vilson

2016

Int. J. Mod. Phys. A

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The aim of the current paper is to study the multiscalar-tensor theories of gravity without derivative couplings. We construct a few basic objects that are invariant under a Weyl rescaling of the metric and transform covariantly when the scalar fields are redefined. We introduce rules to construct further such objects and put forward a scheme that allows to express the results obtained either in the Einstein frame or in the Jordan frame as general ones. These so called "translation" rules are used to show that the parametrized post-Newtonian approximation results obtained in the aforementioned two frames indeed are the same if expressed in a general frame.

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“…Interest in this model appeared several years ago, after the statement that the Higgs field supports the early inflation, provided that the Higgs field is not minimally coupled to the gravity of [1], [12]. Also there are models in which dark matter [13] and relativistic stars [14] are described. In the paper [13], solutions are found in TMS TG for a homogeneous and isotropic universe in the Jordan frame by the dynamic system method in the two-field model.…”

Section: Introductionmentioning

confidence: 99%

“…Also there are models in which dark matter [13] and relativistic stars [14] are described. In the paper [13], solutions are found in TMS TG for a homogeneous and isotropic universe in the Jordan frame by the dynamic system method in the two-field model. In the work [13] several scalar fields interacting with gravity are considered and dust solutions are found, as well as the solutions for the era of radiation dominance and matter dominance.…”

Section: Introductionmentioning

confidence: 99%

“…In the paper [13], solutions are found in TMS TG for a homogeneous and isotropic universe in the Jordan frame by the dynamic system method in the two-field model. In the work [13] several scalar fields interacting with gravity are considered and dust solutions are found, as well as the solutions for the era of radiation dominance and matter dominance. By now, the inflationary model of the universe has become an integral part of the cosmological theory, since it solves the problems of flatness, horizon, the formation of the large-scale structure of the universe, and others.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Cosmological Inflation in Tensor-Multi-Scalar Theory of Gravitation

Chervon¹,

Kubasov²,

Bolshakova³

2018

SPACE, TIME AND FUNDAMENTAL INTERACTIONS

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In this paper, it is shown that the Tensor-Multi-Scalar Theory of Gravity (TMS TG) allows for inflationary solutions for the vacuum case, that is, in the absence of material source. For the two-field TMS TG, solutions are found in the presence of a source in the form of the scalar field in the slow-roll regime, when the gravitational part is given in the Einstein frame, and the action of the non-gravitational (material) field is given in the Jordan frame. In this case, classes of power-law and de Sitter inflation solutions for various potentials of the non-gravitational scalar field are found.

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Scalar-Tensor and Multiscalar-Tensor Gravity and Cosmological Models

Cited by 6 publications

References 27 publications

Effective Gravitational “Constant” in Scalar-(Curvature)Tensor and Scalar-Torsion Gravities

Effective Gravitational “Constant” in Scalar-(Curvature)Tensor and Scalar-Torsion Gravities

Invariant quantities in the multiscalar-tensor theories of gravitation

Cosmological Inflation in Tensor-Multi-Scalar Theory of Gravitation

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