The Cosmological Slingshot Scenario: a Stringy Proposal for the Early
  Time Cosmology

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Abstract

In the Cosmological Slingshot Scenario, our Universe is a D3-brane that extends in the 4d noncompact directions of a warped Calabi-Yau compactification of IIB Supergravity. Early time cosmology corresponds to a period in which the brane moves inside a warped throat where a non-vanishing angular momentum ensures that the trajectory of the brane has a turning point. The corresponding induced metric on the D3-brane experiences a cosmological evolution with a bounce. In this framework, the homogeneity, flatness, and isotropy problems of standard cosmology might be avoided. The power spectrum of primordial perturbations of the brane embedding can be found and it is shown to be in agreement to WMAP data.

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An Alternative to Compactification

Raman Sundrum, Lisa Randall (1999)

Conventional wisdom states that Newton's force law implies only four non-compact dimensions. We demonstrate that this is not necessarily true in the presence of a non-factorizable background geometry. The specific example we study is a single 3-brane embedded in five dimensions. We show that even without a gap in the Kaluza-Klein spectrum, four-dimensional Newtonian and general relativistic gravity is reproduced to more than adequate precision.

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The Einstein Equations on the 3-Brane World

Tetsuya Shiromizu, Kei-ichi Maeda, Misao Sasaki (1999)

We carefully investigate the gravitational equations of the brane world, in which all the matter forces except gravity are confined on the 3-brane in a 5-dimensional spacetime with \(Z_2\) symmetry. We derive the effective gravitational equations on the brane, which reduce to the conventional Einstein equations in the low energy limit. {}From our general argument we conclude that the first Randall & Sundrum-type theory (RS1) [hep-ph/9905221] predicts that the brane with the negative tension is an anti-gravity world and hence should be excluded from the physical point of view. Their second-type theory (RS2) [hep-th/9906064] where the brane has the positive tension provides the correct signature of gravity. In this latter case, if the bulk spacetime is exactly anti-de Sitter, generically the matter on the brane is required to be spatially homogeneous because of the Bianchi identities. By allowing deviations from anti-de Sitter in the bulk, the situation will be relaxed and the Bianchi identities give just the relation between the Weyl tensor and the energy momentum tensor. In the present brane world scenario, the effective Einstein equations cease to be valid during an era when the cosmological constant on the brane is not well-defined, such as in the case of the matter dominated by the potential energy of the scalar field.

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Kasner and Mixmaster behavior in universes with equation of state w \ge 1

Daniel Wesley, Joel Erickson, Neil Turok … (2003)

We consider cosmological models with a scalar field with equation of state \(w\ge 1\) that contract towards a big crunch singularity, as in recent cyclic and ekpyrotic scenarios. We show that chaotic mixmaster oscillations due to anisotropy and curvature are suppressed, and the contraction is described by a homogeneous and isotropic Friedmann equation if \(w>1\). We generalize the results to theories where the scalar field couples to p-forms and show that there exists a finite value of \(w\), depending on the p-forms, such that chaotic oscillations are suppressed. We show that \(Z_2\) orbifold compactification also contributes to suppressing chaotic behavior. In particular, chaos is avoided in contracting heterotic M-theory models if \(w>1\) at the crunch.

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Publication date Created: 14 May 2008

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DOI: 10.1063/1.2972004

ArXiV ID: 0805.2073

SO-VID: 27d306f8-875a-4ebc-87be-bd09f89c6f83

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http://arxiv.org/licenses/nonexclusive-distrib/1.0/

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Journal reference AIP Conf.Proc.1031:172-183,2008

Comments Presented at "Ten Years of AdS/CFT: A Workshop Celebrating the Tenth Anniversary of the Maldacena Conjecture", Buenos Aires, Argentina, 19-21 Dec 2007

Categories hep-th astro-ph gr-qc

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The Cosmological Slingshot Scenario: a Stringy Proposal for the Early Time Cosmology

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Most cited references 3

An Alternative to Compactification

The Einstein Equations on the 3-Brane World

Kasner and Mixmaster behavior in universes with equation of state w \ge 1

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