${\alpha }^{\prime }$-Cosmology: solutions and stability analysis

Abstract

We review O$(d,d)$ Covariant String Cosmology to all orders in ${\alpha }^{\prime }$ in the presence of matter and study its solutions. We show that the perturbative analysis for a constant dilaton in the absence of a dilatonic charge does not lead to a time-independet equation of state. Meanwhile, the non-perturbative equations of motion allow de Sitter solutions in the String frame parametrized by the equation of state and the dilatonic charge. Among this set of solutions, we show that a cosmological constant equation of state implies a de Sitter solution both in String and Einstein frames while a winding equation of state implies a de Sitter solution in the former and a static phase in the latter. We also consider the stability of these solutions under homogeneous linear perturbations and show that they are not unstable, therefore defining viable cosmological scenarios.

arXiv comment13 pages, 1 figure, references updated, typos fixed

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Cited by in corpus (23)

• The Geometry, Branes and Applications of Exceptional Field Theory
• String Cosmology backgrounds from Classical String Geometry
• Cosmological consequences of a principle of finite amplitudes
• New non-perturbative de Sitter vacua in ${\alpha }^{\prime }$-complete cosmology
• Cosmological ${\alpha }^{\prime }$-corrections from the functional renormalization group
• Cosmology at the top of the ${\alpha }^{\prime }$ tower
• The generalized Bergshoeff-de Roo identification II
• Crisis on Infinite Earths: Short-lived de Sitter Vacua in the String Theory Landscape
• Solution of the Size and Horizon Problems from Classical String Geometry
• Contracting Cosmologies and the Swampland
• Kalb-Ramond backgrounds in ${\alpha }^{\prime }$-complete cosmology
• 2D Black Holes, Bianchi I Cosmologies, and ${\alpha }^{\prime }$
• Stability of the non-perturbative $O(D,D)$ de-Sitter spacetime. The isotropic case
• Non-linear stability of ${\alpha }^{\prime }$-corrected Friedmann equations
• Hitchhiker's Guide to the Swampland: The Cosmologist's Handbook to the string-theoretical Swampland Programme
• Perturbations in $\mathbf{O}(D,D)$ string cosmology from double field theory
• Stability Analysis of the Cosmological Dynamics of $O(D,D)$-complete Stringy Gravity
• Dilatonic Effect in Double Field Theory Cosmology
• Trans-Planckian Censorship Conjecture and Early Universe Cosmology
• $O(d,d;\mathbb{Z})$ invariant Fierz-Pauli massive gravity
• Two non-perturbative ${\alpha }^{\prime }$ corrected or loop corrected string cosmological solutions
• Black hole solutions in double field theory
• Duality covariant field redefinitions