Need of dark energy for dynamical compactification of extra dimensions on the brane

Cuadros-Melgar, Bertha; Papantonopoulos, Eleftherios

doi:10.1590/s0103-97332005000700027

Cited by 5 publications

(4 citation statements)

References 17 publications

(31 reference statements)

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“…Hence this curvature quintessence has also of late somewhat fallen from grace. On the other hand , serious attempts are recently being made [8], [9], [10] to incorporate the phenomenon of accelerating universe within the framework of higher dimensional space time itself without involving any mysterious scalar field with large negative pressure by hand. The attempt to unify gravity with other forces in nature is an active field of research.…”

Section: Introductionmentioning

confidence: 99%

Accelerating Universe as Window for Extra Dimensions

Panigrahi

Chatterjee

Zhang

2006

Int. J. Mod. Phys. A

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Homogeneous cosmological solutions are obtained in five dimensional space time assuming equations of state p = kρ and p 1 = γρ where p is the isotropic 3 -pressure and p 1 , that for the fifth dimension. Using different values for the constants k and γ many known solutions are rediscovered. Further the current acceleration of the universe has led us to investigate higher dimensional gravity theory, which is able to explain acceleration from a theoretical view point without the need of introducing dark energy by hand. We also extend a recent work of Mohammedi where using a special form of the extra dimensional scale factor a new interpretation of the higher dimensional equations of motion is given and the concept of an effective four dimensional pressure is introduced. Interestingly the 5D matter field remains regular while the effective negative pressure is responsible for the inflation. Relaxing the assumptions of two equations of state we also present a class of solutions which provide early deceleration followed by a late acceleration in a unified manner. Relevant to point out that in this case our cosmology apparently mimics the well known quintessence scenario fuelled by a generalised Chaplygin-type of fluid where a smooth transition from a dust dominated model to a de Sitter like one takes place. Depending on the relative magnitude of the different constants appearing in our solutions we show that some of the cases are amenable to the desirable property of dimensional reduction.

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Section: Introductionmentioning

confidence: 99%

Accelerating Universe as Window for Extra Dimensions

Panigrahi

Chatterjee

Zhang

2006

Int. J. Mod. Phys. A

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“…In the case of a 4-brane, this approach leads to result equivalent to that obtained for static brane in a dynamical bulk [15].…”

Section: Dynamical Codimension -2 Brane In a Static Bulkmentioning

confidence: 61%

“…Extending directly the investigation in 5D [15], we focus on the case where the matter content of codimension -2 brane dominated that of the 6D bulk. The initial conditions in early Universe suggest [14] that the branes inflation might require almost empty bulk following the condition…”

Section: Dynamical Codimension -2 Brane In a Static Bulkmentioning

confidence: 99%

Dynamical Codimension – 2 Brane in a Warped Six Dimensional Space-time

Lien¹

2018

Comm. in Phys.

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In this paper we present the Einstein equation extended in six-dimensions (6D) from the formation of codimension-2 brane, which is created by a 4-brane and 4-anti brane moving in the warped 6D “bulk” space-time. The system of equations of motion for the dynamical codimension - 2 brane has been derived to describe the cosmological evolution on the probe branes. Some cosmological consequences are investigated.

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“…As it was showed in [45,46], the introduction of a four-dimensional scalar curvature term on the brane, simply redefines the energy momentum tensor on the brane. If we go to the picture in which the brane is moving and the bulk is static, it can be shown [47,48], that the R term has the same effect, it redefines the energy momentum tensor in the junctions conditions which play the rôle of the equations of motion of the moving brane. In both pictures, there is an effective four-dimensional Einstein equation which describes consistently the cosmological evolution on the brane.…”

Section: Conclusion and Discussionmentioning

confidence: 99%

Geometrical tachyon dynamics in the background of a bulk tachyon field

Papantonopoulos

Pappa

Zamarias

2006

J. High Energy Phys.

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We study the dynamics of a D3-brane moving in the background of a bulk tachyon field of a D3-brane solution of Type-0 string theory. We show that the dynamics on the probe D3-brane can be described by a geometrical tachyon field rolling down its potential which is modified by a function of the bulk tachyon and inflation occurs at weak string coupling, where the bulk tachyon condenses, near the top of the geometrical tachyon potential. We also find a late accelerating phase when the bulk tachyon asymptotes to zero which in the geometrical tachyon picture corresponds to the minimum of the geometrical potential. * lpapa@central.ntua.gr † gianna@physto.se ♭ zamarias@central.ntua.gr -2-

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Need of dark energy for dynamical compactification of extra dimensions on the brane

Cited by 5 publications

References 17 publications

Accelerating Universe as Window for Extra Dimensions

Accelerating Universe as Window for Extra Dimensions

Dynamical Codimension – 2 Brane in a Warped Six Dimensional Space-time

Geometrical tachyon dynamics in the background of a bulk tachyon field

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