Stabilization of internal spaces in multidimensional cosmology

Günther, Uwe; Zhuk, Alexander

doi:10.1103/physrevd.61.124001

Cited by 39 publications

(74 citation statements)

References 46 publications

(89 reference statements)

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Studies of late evolution of the radion around its potential minimum b 0 have mainly focused on the resolution of the moduli problem [1,10,12,13]: How do we dilute the energy in radion oscillations which at the end of inflation is high enough to overclose the universe? Here we assume that the radion is stabilized at b 0 either by a short period of late inflation or by some other mechanism.…”

Section: Introductionmentioning

confidence: 99%

Cosmological effects of radion oscillations

Perivolaropoulos

Sourdis

2002

Phys. Rev. D

View full text Add to dashboard Cite

We show that the redshift of pressureless matter density due to the expansion of the universe generically induces small oscillations in the stabilized radius of extra dimensions (the radion field). The frequency of these oscillations is proportional to the mass of the radion and can have interesting cosmological consequences. For very low radion masses m b (m b ∼ 10 − 100 H0 ≃ 10 −32 eV ) these low frequency oscillations lead to oscillations in the expansion rate of the universe. The occurrence of acceleration periods could naturally lead to a resolution of the coincidence problem, without need of dark energy. Even though this scenario for low radion mass is consistent with several observational tests it has difficulty to meet fifth force constraints. If viewed as an effective Brans-Dicke theory it predicts ω = −1 + 1 D (D is the number of extra dimensions), while experiments on scales larger than 1mm imply ω > 2500. By deriving the generalized Newtonian potential corresponding to a massive toroidally compact radion we demonstrate that Newtonian gravity is modified only on scales smaller than m −1 b . Thus, these constraints do not apply for m b > 10 −3 eV (high frequency oscillations) corresponding to scales less than the current experiments (0.3mm). Even though these high frequency oscillations can not resolve the coincidence problem they provide a natural mechanism for dark matter generation. This type of dark matter has many similarities with the axion.

show abstract

Section: Introductionmentioning

confidence: 99%

Cosmological effects of radion oscillations

Perivolaropoulos

Sourdis

2002

Phys. Rev. D

View full text Add to dashboard Cite

show abstract

“…We investigated stability of some of these models under the conformal excitations which are functions of 4-D space-time. Such excitations are of special interest because they behave as massive minimal scalar fields in 4-D space-time, for example can be observed as massive scalar particles -gravitational excitons on branes, as it takes place in the Kaluza-Klein approach [1,6].…”

Section: Discussionmentioning

confidence: 99%

“…Thus, in this model Λ b) De Sitter brane (symmetric solution) 6 In this paper we focus on the problem of stability of considered models and not discuss cosmology on branes. It is clear that from the point of an observer on a brane, physical metric is the induced metric on this brane (let it be i-th brane):…”

Section: A) Poincaré Branesmentioning

confidence: 99%

“…Problem of their stability against conformal perturbations of additional dimensions was considered in papers [4,5]. A comparison of old and this new approaches from the point of view of conformal stability was given in paper [6]. In papers [4,5] conformal excitations of the additional dimensions near minimum position of the effective potential were called radions (to our knowledge, the first time that the term radion appeared it was in [4]).…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Comments on conformal stability of brane-world models

Bouhmadi-López

Zhuk

2002

Phys. Rev. D

View full text Add to dashboard Cite

The stability of 5-D brane-world models under conformal perturbations is investigated. The analysis is carried out in the general case and then it is applied to particular solutions. It is shown that models with the Poincaré and the de Sitter branes are unstable because they have negative mass squared of gravexcitons whereas models with the Anti de Sitter branes have positive gravexciton mass squared and are stable. It is also shown that 4-D effective cosmological and gravitational constants on branes as well as gravexciton masses undergo hierarchy: they have different values on different branes. PACS number(s): 04.50.+h, 98.80.Hw

show abstract

“…In recent years several authors (see Refs. [15] − [17] and references therein) have studied multidimensional inhomogeneous cosmological models in diferent context.…”

Section: Introductionmentioning

confidence: 99%

Kaluza-Klein Type Robertson Walker Cosmological Model with Dynamical Cosmological Term Λ

Pradhan¹,

Khadekar²,

Patki³

et al. 2007

Int J Theor Phys

View full text Add to dashboard Cite

In this paper we have analyzed the Kaluza-Klein type Robertson Walker (RW) cosmological models by considering three different forms of variable Λ: Λ ∼ ȧ a 2 , Λ ∼ ä a and Λ ∼ ρ. It is found that, the connecting free parameters of the models with cosmic matter and vacuum energy density parameters are equivalent, in the context of higher dimensional space time. The expression for the look back time, luminosity distance and angular diameter distance are also derived. This work has thus generalized to higher dimensions the well-known results in four dimensional space time. It is found that there may be significant difference in principle at least, from the analogous situation in four dimensional space time.PACS: 04.50.+h, 98.80.Es

show abstract

Stabilization of internal spaces in multidimensional cosmology

Cited by 39 publications

References 46 publications

Cosmological effects of radion oscillations

Cosmological effects of radion oscillations

Comments on conformal stability of brane-world models

Kaluza-Klein Type Robertson Walker Cosmological Model with Dynamical Cosmological Term Λ

Contact Info

Product

Resources

About