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Cosmological Tracking Solutions

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arxiv astro-ph/9812313 v1 pith:HZJEXO3I submitted 1998-12-16 astro-ph

classification astro-ph
keywords densityenergytrackeruniversesolutionsdensitiesearlyfield
verification ladder T0 review T1 audit T2 compute T3 formal
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A substantial fraction of the energy density of the universe may consist of quintessence in the form of a slowly-rolling scalar field. Since the energy density of the scalar field generally decreases more slowly than the matter energy density, it appears that the ratio of the two densities must be set to a special, infinitesimal value in the early universe in order to have the two densities nearly coincide today. Recently, we introduced the notion of tracker fields to avoid this initial conditions problem. In the paper, we address the following questions: What is the general condition to have tracker fields? What is the relation between the matter energy density and the equation-of-state of the universe imposed by tracker solutions? And, can tracker solutions explain why quintessence is becoming important today rather than during the early universe?

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Cited by 10 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Background-level reconstruction of scalar-field potentials from dark-energy histories and comparison with analytic potential families

    astro-ph.CO 2026-03 conditional novelty 5.5 of 10

    A background reconstruction maps prescribed ρ_de(z) histories to V(φ) and ranks analytic potentials by Bayesian evidence, with exponential preferred for CPL and shifted-tanh for sign-switching targets.

  2. Do we really need alternatives to the $\omega_0\omega_a$CDM parameterization after the DESI DR2?

    astro-ph.CO 2026-08 conditional novelty 5.0 of 10

    In a common physically motivated pivot basis, the standard CPL parameterization is mildly preferred over the fafbCDM density expansion and reproduces quintessence backgrounds at least as well.

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    In a scale-invariant R² + unimodular-gravity model, the Goldstone boson of scale symmetry becomes thawing dark energy, with its equation of state fixed by the same coupling that sets the inflationary spectral tilt.

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    A generalized three-form dark-energy Lagrangian admits stable scaling attractors that track the dominant cosmic fluid and, via a double-potential extension, exit to late-time acceleration — physical content dual to kn...

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  6. Quintom Model Perturbations

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    A two-field quintom model reproduces w0waCDM perturbation features and is mildly favored over it in Bayesian fits to BAO, CMB, and SNIa data.

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    Early scaling dark energy is constrained to be less than about one percent at matter-radiation equality and is disfavored by model selection, while late-time CPL dynamics show only a weak preference away from ΛCDM.

  8. Solving an Interacting Quintessence Model with a Sound Horizon Initial Condition and its Observational Constraints

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    An interacting quintessence model with initial conditions set by the CMB sound horizon angle increases H0 with coupling strength, but observational constraints show it does not resolve the H0 or S8 tensions.

  9. Challenges for $\Lambda$CDM: An update

    astro-ph.CO 2021-05 accept novelty 3.0 of 10

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