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Günther, Uwe; Moniz, Paulo Vargas; Zhuk, Alexander

doi:10.1023/a:1022532313230

Cited by 32 publications

(78 citation statements)

References 3 publications

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“…The situation can be cured by including additional matter fields. Examples are flux field stabilization scenarios [34] which provide certain moduli space sectors with positive effective cosmological constant and external spacetimes of dS type. …”

Section: Resultsmentioning

confidence: 99%

“…For this reason, we will concentrate below on the derivation of criteria which will ensure a freezing stabilization of the scale factors. Extending earlier discussions of models withR 2 scalar curvature nonlinearities [33,34] we will investigate here models of the nonlinearity typesR −1 andR 4 . In Ref.…”

Section: Freezing Stabilizationmentioning

confidence: 99%

“…[30,32,33,34]. For brevity we only summarize the corresponding essentials as they will be needed for more detailed discussions in the next sections.…”

Section: Freezing Stabilizationmentioning

confidence: 99%

“…In order to uplift the AdS to an dS with positive effective cosmological constant and the possibility for late time acceleration, additional matter fields should be included into the model (e.g., flux fields as in theR 2 −model of Ref. [34]). …”

Section: Introductionmentioning

confidence: 99%

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AdS and stabilized extra dimensions in multi-dimensional gravitational models with nonlinear scalar curvature terms R ⁻¹ and R ⁴

Günther

Zhuk

Bezerra

et al. 2005

Class. Quantum Grav.

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AdS and stabilized extra dimensions in multidimensional gravitational models with nonlinear scalar curvature terms R −1 and R AbstractWe study multidimensional gravitational models with scalar curvature nonlinearities of the type R −1 and R 4 . It is assumed that the corresponding higher dimensional spacetime manifolds undergo a spontaneous compactification to manifolds with warped product structure. Special attention is paid to the stability of the extra-dimensional factor spaces. It is shown that for certain parameter regions the systems allow for a freezing stabilization of these spaces. In particular, we find for the R −1 −model that configurations with stabilized extra dimensions do not provide a late-time acceleration (they are AdS), whereas the solution branch which allows for accelerated expansion (the dS branch) is incompatible with stabilized factor spaces. In the case of the R 4 −model, we obtain that the stability region in parameter space depends on the total dimension D = dim(M ) of the higher dimensional spacetime M. For D > 8 the stability region consists of a single (absolutely stable) sector which is shielded from a conformal singularity (and an antigravity sector beyond it) by a potential barrier of infinite height and width. This sector is smoothly connected with the stability region of a curvature-linear model. For D < 8 an additional (metastable) sector exists which is separated from the conformal singularity by a potential barrier of finite height and width so that systems in this sector are prone to collapse into the conformal singularity. This second sector is not smoothly connected with the first (absolutely stable) one. Several limiting cases and the possibility for inflation are discussed for the R 4 −model.

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Section: Resultsmentioning

confidence: 99%

Section: Freezing Stabilizationmentioning

confidence: 99%

“…[30,32,33,34]. For brevity we only summarize the corresponding essentials as they will be needed for more detailed discussions in the next sections.…”

Section: Freezing Stabilizationmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

AdS and stabilized extra dimensions in multi-dimensional gravitational models with nonlinear scalar curvature terms R ⁻¹ and R ⁴

Günther

Zhuk

Bezerra

et al. 2005

Class. Quantum Grav.

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“…Apart from model construction, the question of solving the cosmological constant problem has been the primary issue addressed in several articles [8]. Other aspects such as cosmology, brane gravity [9], fermion families and chirality [10] etc. have been discussed by numerous authors.…”

Section: Introductionmentioning

confidence: 99%

Fermions in self-dual vortex background on a string-like defect

et al. 2007

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Massive test particle motion in 5-dimensional electromagnetic-free Kaluza-Klein theory

2010

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A class of static, vacuum solutions of (free-electromagnetic) Kaluza-Klein equations with three-dimensional spherical symmetry is studied. In order to explore the dynamic in such spacetimes, geodesic equations are obtained and the effective potential for massive test particles is analyzed. Particular attention is devoted to the properties of the four-dimensional counterpart of these solutions in their Schwarzschild limit. A modification of the circular stable orbits compared with the Schwarzschild case is investigated.

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Untitled

Cited by 32 publications

References 3 publications

AdS and stabilized extra dimensions in multi-dimensional gravitational models with nonlinear scalar curvature terms R ⁻¹ and R ⁴

AdS and stabilized extra dimensions in multi-dimensional gravitational models with nonlinear scalar curvature terms R ⁻¹ and R ⁴

Fermions in self-dual vortex background on a string-like defect

Massive test particle motion in 5-dimensional electromagnetic-free Kaluza-Klein theory

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Untitled

Cited by 32 publications

References 3 publications

AdS and stabilized extra dimensions in multi-dimensional gravitational models with nonlinear scalar curvature terms R −1 and R 4

AdS and stabilized extra dimensions in multi-dimensional gravitational models with nonlinear scalar curvature terms R −1 and R 4

Fermions in self-dual vortex background on a string-like defect

Massive test particle motion in 5-dimensional electromagnetic-free Kaluza-Klein theory

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AdS and stabilized extra dimensions in multi-dimensional gravitational models with nonlinear scalar curvature terms R ⁻¹ and R ⁴

AdS and stabilized extra dimensions in multi-dimensional gravitational models with nonlinear scalar curvature terms R ⁻¹ and R ⁴