Kasner‐like, inflationary and steady‐state solutions in multi‐dimensional cosmology

Bleyer, U.; Zhuk, Alexander

doi:10.1002/asna.2113170302

Cited by 12 publications

(22 citation statements)

References 31 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Here, for E := ε + κ 2 A (1) > 0, we obtain (asymptotically for t → 0) a generalized Kasner universe [35], i.e. scale factors (56) with parametersᾱ i satisfying…”

Section: General Dynamics Of the Universementioning

confidence: 91%

“…z 0 → −∞, the potential vanishes U → 0. So, for ε > 0, we obtain (asymptotically for t → 0) a (multidimensional) Kasner universe [35,36], with scale factors…”

Section: General Dynamics Of the Universementioning

confidence: 92%

“…Note that using the constraints (35) and (39) the equation (33) yields again (15) (33) is the harmonic time. The synchronous and harmonic times are related by…”

Section: General Dynamics Of the Universementioning

confidence: 99%

See 2 more Smart Citations

Integrable Multicomponent Perfect Fluid Multidimensional Cosmology II: Scalar Fields

Kasper¹,

Rainer²,

Zhuk³

1997

General Relativity and Gravitation

Self Cite

View full text Add to dashboard Cite

We consider anisotropic cosmological models with an universe of dimension 4 or more, factorized into n ≥ 2 Ricci-flat spaces, containing an m-component perfect fluid of m noninteracting homogeneous minimally coupled scalar fields under special conditions. We describe the dynamics of the universe: It has a Kasner-like behaviour near the singularity and isotropizes during the expansion to infinity.Some of the considered models are integrable, and classical as well as quantum solutions are found. Some solutions produce inflation from "nothing". There exist classical asymptotically anti-de Sitter wormholes, and quantum wormholes with discrete spectrum.

show abstract

“…Here, for E := ε + κ 2 A (1) > 0, we obtain (asymptotically for t → 0) a generalized Kasner universe [35], i.e. scale factors (56) with parametersᾱ i satisfying…”

Section: General Dynamics Of the Universementioning

confidence: 91%

“…z 0 → −∞, the potential vanishes U → 0. So, for ε > 0, we obtain (asymptotically for t → 0) a (multidimensional) Kasner universe [35,36], with scale factors…”

Section: General Dynamics Of the Universementioning

confidence: 92%

See 1 more Smart Citation

Integrable Multicomponent Perfect Fluid Multidimensional Cosmology II: Scalar Fields

Kasper¹,

Rainer²,

Zhuk³

1997

General Relativity and Gravitation

Self Cite

View full text Add to dashboard Cite

show abstract

“…, n. Particular solutions generalizing (4.1) with (4.2) were obtained in many papers [38]- [43]. More general solutions for an arbitrary number of d i -dimensional tori were found in [44] and generalized to the case of a free minimally coupled scalar field Φ in [45]. In the latter case there are two classes of solutions.…”

Section: Solutions In Original Formmentioning

confidence: 98%

Einstein and Brans–Dicke Frames in Multidimensional Cosmology

Rainer

Zhuk

2000

General Relativity and Gravitation

View full text Add to dashboard Cite

Inhomogeneous multidimensional cosmological models with a higher dimen-are investigated under dimensional reduction to a D 0 -dimensional effective non-minimally coupled σ-model which generalizes the familiar Brans-Dicke model. It is argued that the Einstein frame should be considered as the physical one. The general prescription for the Einstein frame reformulation of known solutions in the Brans-Dicke frame is given. As an example, the reformulation is demonstrated explicitly for the generalized Kasner solutions where it is shown that in the Einstein frame there are no solutions with inflation of the external space. 04.50.+h, 98.80.Hw

show abstract

“…The singular case D 0 = 2 is discussed in [10].) Then, (2.14) can also be written as 17) where the last term will yield just a boundary contribution (2.22) to the action (2.21) below. Let us assume all M i , i = 1, .…”

mentioning

confidence: 99%

The effective σ-model of multidimensional gravity

Rainer

1999

Journal of Mathematical Physics

View full text Add to dashboard Cite

The properties of the effective σ-model for D-dimensional Einstein gravity based on multidimensional geometries is analyzed. Besides pure geometry additional minimally coupled scalars and (p + 2)-forms are considered which yield an extended target space after reduction to the effective D 0 -dimensional geometry.The target space is always a homogeneous space. Exact solutions exist provided an orthobrane condition is satisfied which geometrically makes the target space a locally symmetric one.New solutions with scalar fields are found which may inflate not only in time-like but in also in additional spatial directions of the effective geometry.Static spherically symmetric solutions with a particular configuration of intersecting electric and magnetic branes are investigated both, for the orthobrane case and for degenerated charges. In both cases T H depends critically on the intersection dimension of the branes.Finally, the role of the Einstein frame for 4-geometries is addressed, and the physical frame transformation for cosmological geometries is given.

show abstract

Kasner‐like, inflationary and steady‐state solutions in multi‐dimensional cosmology

Cited by 12 publications

References 31 publications

Integrable Multicomponent Perfect Fluid Multidimensional Cosmology II: Scalar Fields

Integrable Multicomponent Perfect Fluid Multidimensional Cosmology II: Scalar Fields

Einstein and Brans–Dicke Frames in Multidimensional Cosmology

The effective σ-model of multidimensional gravity

Contact Info

Product

Resources

About