Stability Analysis of the Cosmological Dynamics of $O(D,D)$-complete Stringy Gravity

Abstract

The massless fields in the universal NS-NS sector of string theory form $O(D,D)$ multiplets of Double Field Theory, which is a theory that provides a T-duality covariant formulation of supergravity, leading to a stringy modification of General Relativity. In this framework, it is possible to write down the extensions of the Einstein field equations and the Friedmann equations in such a way that the coupling of gravitational and matter sectors is dictated by the $O(D,D)$ symmetry universally. In this paper, we obtain the autonomous form of the $O(D,D)$-complete Friedmann equations, find the critical points and perform their stability analysis. We also include the phase portraits of the system. Cosmologically interesting cases of scalar field, radiation, and matter are separately considered and compared with the Chameleon models in a similar setting. Accelerating phases and the conditions for their existence are also given for such cases.

arXiv comment16 pages, 9 figures, matches the published version in The European Physical Journal C

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Cited by in corpus (2)

• Perturbations in $\mathbf{O}(D,D)$ string cosmology from double field theory
• Gravitational Core of Double Field Theory: Lecture Notes