Dark Energy from Inspiraling in Field Space

Abstract

We find an exact solution of the equations of motion of a two-field cosmological model, which realizes multi-field dark energy. The latter is characterized by field-space trajectories with turning rates that are always large. We study a class of two-field models and show that it is possible to have such trajectories, giving accelerated space-time expansion, even when the scalar potential preserves the rotational invariance of the field-space metric. For the case of Poincaré-disk field space, we derive the form of the scalar potential compatible with such background solutions and, furthermore, we find the exact solutions analytically. Their field-space trajectories are spirals inward, toward the center of the Poincaré disk. Interestingly, the functional form of the relevant scalar potential is compatible with a certain hidden symmetry, although the latter is broken by the presence of a constant term.

24 pages; minor improvements, references added

References in corpus (5)

• Large Field Inflation and Double $\alpha$-Attractors
• Internal space structure generalization of the quintom cosmological scenario
• Can a galaxy redshift survey measure dark energy clustering?
• Who's Afraid of the Supersymmetric Dark? The Standard Model vs Low-Energy Supergravity
• Interacting dark energy axions in light of the Hubble tension

Cited by in corpus (10)

• The CosmoVerse White Paper: Addressing observational tensions in cosmology with systematics and fundamental physics
• Cosmological dynamics of multifield dark energy
• Dynamical consistency conditions for rapid turn inflation
• Quintom fields from chiral anisotropic cosmology
• Dynamics of Inspiraling Dark Energy
• On the Consistency of Rapid-Turn Inflation
• Hidden Symmetries, Rapid Turns and Cosmic Acceleration
• Multifield curved solid: Early dark energy and perturbation instabilities
• Infrared behavior in tame hyperbolizable two-field models
• Towards a de Sitter quintom-like cosmology from a reduction of a 7-dimensional $BF$ theory