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The past and future dynamics of quintom dark energy models

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arxiv 1808.05634 v2 pith:WL5N2RS5 submitted 2018-08-16 gr-qc

Genly Leon (Catolica del Norte U.) , Andronikos Paliathanasis , Jorge Luis Morales-Martínez (Guanajuato U.) This is my paper · ORCID
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keywords dynamicsquintomanalysiscentercosmologyfieldmanifoldsets
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We study the phase space of the quintom cosmologies for a class of exponential potentials. We combine normal forms expansions and the center manifold theory in order to describe the dynamics near equilibrium sets. Furthermore, we construct the unstable and center manifold of the massless scalar field cosmology motivated by the numerical results given in Lazkoz and Leon (Phys Lett B 638:303. arXiv:astro-ph/0602590, 2006). We study the role of the curvature on the dynamics. Several monotonic functions are defined on relevant invariant sets for the quintom cosmology. Finally, conservation laws of the cosmological field equations and algebraic solutions are determined by using the symmetry analysis and the singularity analysis.

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Cited by 1 Pith paper

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  1. Averaging Dynamics of Scalar Field-Matter Interacting Models in Anisotropic Universes: The Locally Rotationally Symmetric Bianchi I Spacetime

    gr-qc 2025-08 reject novelty 4.0 of 10

    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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