Stability of the non-perturbative $O(D,D)$ de-Sitter spacetime. The isotropic case

Bieniek, Przemysław; Chojnacki, Jan; Kwapisz, Jan; Meissner, Krzysztof A.

doi:10.48550/arxiv.2208.06010

Cited by 2 publications

(15 citation statements)

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“…For the case of an isotropic FLRW Universe the HZ action depends on just a single even function F (H) of the Hubble parameter H(t). Further developments of the HZ approach have been given in several subsequent papers [12][13][14][15][16][17][18][19][20][21].…”

Section: Introductionmentioning

confidence: 99%

From the string vacuum to FLRW or de Sitter via α' corrections

Conzinu,

Fanizza,

Gasperini

et al. 2023

J. Cosmol. Astropart. Phys.

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We first make more precise a recent “Hamiltonian” reformulation of the Hohm-Zwiebach approach to the tree-level, O(d,d)-invariant string cosmology equations at all orders in the α' expansion, and recall how it allows to give a simple characterization of a large class of cosmological scenarios connecting, through a non-singular bounce, two duality-related perturbative solutions at early and late times. We then discuss the effects of adding to the action a non-perturbative, O(d,d)-breaking, dilaton potential V(ϕ). The resulting cosmological solutions, assumed to approach at early times the perturbative string vacuum (with vanishing curvature and string coupling), can stabilize the dilaton at late times and simultaneously approach either a matter-dominated FLRW cosmology or a de-Sitter-like inflationary phase, depending on initial conditions and on the properties of V(ϕ) at moderate-coupling. We also identify a general mechanism for generating isotropic late-time attractors from a large basin of anisotropic initial conditions.

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Section: Introductionmentioning

confidence: 99%

From the string vacuum to FLRW or de Sitter via α' corrections

Conzinu,

Fanizza,

Gasperini

et al. 2023

J. Cosmol. Astropart. Phys.

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show abstract

“…However, their approach also implies that the y 0 = 0 vacuum solution is also unstable, which is clearly not true for y 0 < 0. In section 2.5, we revisit the incompatibility of these results, pointing out some potential issues in the methods employed in [31].…”

Section: Review Of Linear Fixed-point Stability Analysismentioning

confidence: 99%

“…In section 2, we study the non-linear stability of the Minkowski and dS solutions for vanishing dilaton velocity case, Φ = 0, with and without matter perturbations. For the vacuum dS case, the non-linear stability analysis was performed in [31], where it was found that these dS solutions are unstable. We revisit this case in section 2.5, where we show that while we agree with the results in [31], their approach cannot fully recover the linear stability results of [29] when Φ = 0.…”

Section: Jhep03(2023)119mentioning

confidence: 99%

“…For the vacuum dS case, the non-linear stability analysis was performed in [31], where it was found that these dS solutions are unstable. We revisit this case in section 2.5, where we show that while we agree with the results in [31], their approach cannot fully recover the linear stability results of [29] when Φ = 0. We explain why this is the case, making both approaches compatible.…”

Section: Jhep03(2023)119mentioning

confidence: 99%

“…Thus, the solution is unstable for positive dilaton velocity, while the vanishing velocity or Minkowski cases require a higher-order stability analysis. Recently, in [31], the non-linear stability analysis for vacuum dS was carried out, and it was found that the y 0 = 0 case is unstable. However, their approach also implies that the y 0 = 0 vacuum solution is also unstable, which is clearly not true for y 0 < 0.…”

Section: Review Of Linear Fixed-point Stability Analysismentioning

confidence: 99%

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Non-linear stability of α′-corrected Friedmann equations

Bernardo

Chojnacki

Comeau

2023

J. High Energ. Phys.

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We study the non-linear stability of fixed-point solutions to the α′-exact equations from O(d, d) invariant cosmology, with and without matter perturbations. Previous non-linear analysis in the literature is revisited, and its compatibility with known linear perturbation results is shown. Some formal aspects of cosmological perturbations in duality invariant cosmology are discussed, and we show the existence of time-reparameterization invariant variables for perturbations.

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Stability of the non-perturbative $O(D,D)$ de-Sitter spacetime. The isotropic case

Cited by 2 publications

References 0 publications

From the string vacuum to FLRW or de Sitter via α' corrections

From the string vacuum to FLRW or de Sitter via α' corrections

Non-linear stability of α′-corrected Friedmann equations

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