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Dynamical Systems in Cosmology
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Dynamical systems theory is especially well-suited for determining the possible asymptotic states (at both early and late times) of cosmological models, particularly when the governing equations are a finite system of autonomous ordinary differential equations. We begin with a brief review of dynamical systems theory. We then discuss cosmological models as dynamical systems and point out the important role of self-similar models. We review the asymptotic properties of spatially homogeneous perfect fluid models in general relativity. We then discuss some results concerning scalar field models with an exponential potential (both with and without barotropic matter). Finally, we discuss some isotropic cosmological models derived from the string effective action.
Forward citations
Cited by 4 Pith papers
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Averaging Dynamics of Scalar Field-Matter Interacting Models in Anisotropic Universes: The Locally Rotationally Symmetric Bianchi I Spacetime
The authors apply averaging methods to classify late-time attractors for nine interacting dark sector models in Bianchi I cosmology, but the general interaction formula does not match the specific models analyzed.
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Exploring the dynamics of coincident f(Q) gravity in the presence of DBI-essence scalar field
The authors claim that power-law and exponential f(Q) gravity with a DBI-essence scalar field can reproduce matter, radiation, and late-time accelerating epochs, but the exponential model's critical points are not sho...
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Late time behavior in $f(R,\mathcal{L}_{m})$ gravity through Gaussian reconstruction and dynamical stability
A Gaussian-process reconstruction of Hubble data is used to pick power-law and exponential f(L_m) models, but the dynamical-system proof of a stable late-time attractor is invalid for these models because f_R is const...
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