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α′-cosmology: solutions and stability analysis
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DOI：10.1007/JHEP05(2020)073.png)
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Abstract
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We review O(d, d) Covariant String Cosmology to all orders in alpha ' 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.
Keywords:
Cosmology of Theories beyond the SM
String Duality
Superstring Vacua
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