Scaling solutions in three-form cosmology

Abstract

A hybrid three-form model of dark energy is developed in order to identify scaling solutions, a long-sought feature in three-form cosmology. Exploiting Hodge dualities, the theory is formulated in terms of two scalar functions that are associated with the conjugate momentum, and the three-form dual vector in an isotropic background. The resulting Lagrangian yields a stable scaling attractor where the three-form energy density tracks the dominant background fluid. A dynamical mechanism is also identified that naturally drives the system out of this regime toward a late-time accelerated phase distinguishable from a cosmological constant. This constitutes the first realization of scaling behavior within a three-form dark energy framework.

15 pages, 5 figures. V2: matches the published version

References in corpus (31)

• Dynamics of dark energy
• The Cosmological Constant and Dark Energy
• Cosmology and the Fate of Dilatation Symmetry
• DESI 2024 VI: Cosmological Constraints from the Measurements of Baryon Acoustic Oscillations
• The Pantheon+ Analysis: The Full Dataset and Light-Curve Release
• Dilatonic ghost condensate as dark energy
• The Atacama Cosmology Telescope: DR6 Gravitational Lensing Map and Cosmological Parameters
• The CosmoVerse White Paper: Addressing observational tensions in cosmology with systematics and fundamental physics
• The Atacama Cosmology Telescope: A Measurement of the DR6 CMB Lensing Power Spectrum and its Implications for Structure Growth
• A unified approach to scaling solutions in a general cosmological background
• Kinetic k-essence and Quintessence
• Interpreting DESI's evidence for evolving dark energy
• Scant evidence for thawing quintessence
• Inflation from N-Forms and its stability
• Inflation and dark energy from three-forms
• P-nflation: generating cosmic Inflation with p-forms
• General analytic formulae for attractor solutions of scalar-field dark energy models and their multi-field generalizations
• Reconstructing the dark energy equation of state with varying alpha
• Three-form cosmology
• Interacting 3-form dark energy models: distinguishing interactions and avoiding the Little Sibling of the Big Rip
• Cosmic infinity: A dynamical system approach
• Traversable Wormhole in Einstein 3-Form Theory With Self-Interacting Potential
• Regular Black Hole Interior Spacetime Supported by Three-Form Field
• Quantum behavior of the "Little Sibling" of the Big Rip induced by a three-form field
• A simple parametrisation for coupled dark energy
• Arbitrarily coupled $p-$forms in cosmological backgrounds
• Perfect fluid in Lagrangian formulation due to generalized three-form field
• Fundamental Physics with ESPRESSO, Constraining a simple parametrisation for varying $\alpha$
• Coupling quintessence kinetics to electromagnetism
• Relaxing cosmological constraints on current neutrino masses
• Non-canonical 3-form dark energy