Evolution of cosmological models in the brane-world scenario

Campos, A.; Sopuerta, Carlos F.

doi:10.1103/physrevd.63.104012

Cited by 137 publications

(245 citation statements)

References 47 publications

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“…This models are represented by a stationary (equilibrum) point, denoted F b , in the phase space of homogeneous Bianchi models consider in [8,9], as well as in the phase space of a special class of inhomogeneous G 2 cosmological models. In both cases F b is found to be the source, or past attractor, for the generic dynamics for w > 0 (w = 0 is also included in the homogeneous case), consistently with [4][5][6][7]. Finally, we note that the condition for inflation in general is [26] w < − 1 3…”

Section: Brane Dynamicsmentioning

confidence: 92%

“…Here we consider the particular implementation developed in [2] in order to generalise a previous model by Randall and Sundrum [3], where the bulk is 5-dimensional (5-d) and contains only a cosmological constant, assumed to be negative. In this context various authors [4][5][6][7][8][9] have considered an homogeneous and anisotropic brane, finding an intriguing result: unlike general relativity, where in general the cosmological singularity is anisotropic, the past attractor for homogeneous anisotropic models in the brane is a simple Robertson-Walker model. In particular, it is found in [8,9] that this is also true for Bianchi IX models, as well as for some inhomogeneous models.…”

Section: Introductionmentioning

confidence: 99%

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Singularities on the brane are not isotropic

Bruni

Dunsby

2002

Phys. Rev. D

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Recent studies of homogeneous anisotropic universe models in the brane world scenario show that the cosmological singularity in this context is isotropic. It has therefore been suggested that this may be a generic feature of singularities on the brane, even in the inhomogeneous case. Using a perturbative approach, we show that this is not the case. As in the GR case, the presence of decaying modes in the perturbations signal the instability (in the past) of the isotropic singularity. The brane universe is therefore not born with isotropy built in: as in standard cosmology, the observed large-scale isotropy and homogeneity remains to be explained.

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Section: Brane Dynamicsmentioning

confidence: 92%

Section: Introductionmentioning

confidence: 99%

Singularities on the brane are not isotropic

Bruni

Dunsby

2002

Phys. Rev. D

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“…Inflation on the brane has been considered in the literature (see for example [10][11][12][13]), and even the tendency of the brane embedded into AdS bulk to dissipate anisotropy was reported [14,15], but it is not perfectly clear what would happen if the bulk itself was anisotropic (or non-homogeneous, for that matter). Would inflation on the brane be enough to isotropize both the brane and the bulk (which has much larger volume), or would some sort of "bulk inflation" be needed?…”

Section: Discussionmentioning

confidence: 99%

“…A number of cosmological scenarios based on the brane-world concept was explored [5][6][7][8][9], including some models with inflation on the brane [10][11][12][13] and different embedding geometries [14,15].…”

Section: Introductionmentioning

confidence: 99%

Kasner–AdS spacetime and anisotropic brane-world cosmology

Frolov

2001

Physics Letters B

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“…Though in Refs. [8,12] the Eq. (1) was studied using qualitative methods we just mention here that the cases γ = 0 (cosmological constant), γ = 1/3 (domain walls) and γ = 2/3 (cosmic strings) can be exactly integrable in terms of elementary [16] or elliptic [9] functions.…”

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confidence: 99%

Brane Universes Tested by Supernovae

Godlowski

Szydłowski

Springer Proceedings in Physics

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We discuss observational constrains coming from supernovae Ia [3] imposed on the behaviour of the Randall-Sundrum models. In the case of dust matter on the brane, the difference between the best-fit general relativistic model with a Λ-term [3] and the best-fit brane models becomes detectable for redshifts z > 0.6. It is interesting that brane models predict brighter galaxies for such redshifts which is in agreement with the measurement of the z = 1.7 supernova [6] and with the New Data from the High Z Supernovae Search Team [7]. We also demonstrate that the fit to supernovae data can also be obtained, if we admit the "super-negative" dark energy p = −(4/3)̺ on the brane, where the dark energy in a way mimics the influence of the cosmological constant. It also appears that the dark energy enlarges the age of the universe which is demanded in cosmology. Finally, we propose to check for dark radiation and brane tension by the application of the angular diameter of galaxies minimum value test. The idea of brane universes has originated from Hořava and Witten [1] followed by Randall and Sundrum [2]. Brane models admit new parameters which are not present in standard cosmology (brane tension λ and dark radiation U). From the astronomical observations of supernovae Ia [3, 4] one knows that the universe is now accelerating and the best-fit model is for the 4-dimensional cosmological constant density parameter Ω Λ (4) ,0 = 0.72 and for the dust density parameter Ω m,0 = 0.28 (index "0" refers to the present moment of time). In other words, only the exotic (negative pressure) matter in standard cosmology can lead to this global effect. On the other hand, in brane models the ̺ 2 quadratic contribution in the energy density even for a small negative pressure, contributes effectively as the positive pressure, and makes brane models less accelerating. In this paper we argue that in order to avoid this problem

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Evolution of cosmological models in the brane-world scenario

Cited by 137 publications

References 47 publications

Singularities on the brane are not isotropic

Singularities on the brane are not isotropic

Kasner–AdS spacetime and anisotropic brane-world cosmology

Brane Universes Tested by Supernovae

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