Crossing the phantom divide line as an effect of quantum transitions

Abstract

We consider the Chiral cosmological model consisting of two scalar fields minimally coupled to gravity. In the context of a Friedmann--Lema\^ıtre--Robertson--Walker (FLRW) space-time, and for massless fields in the presence of a cosmological constant, we present the general solution of the field equations. The minisuperspace configuration that possesses maximal symmetry leads to scenarios which - depending on the admissible value of the parameters - correspond to a quintessence, quintom or phantom case. The canonical quantization of the model retrieves this distinction as different families of quantum states. The crossing of the phantom line is related to the existence of free or bound states for the Casimir operator of the symmetry algebra of the fields. The classical singularity, which is present in the quintessence solution, is also resolved at the quantum level.

23 pages, 7 figures, version accepted for publication by Classical and Quantum Gravity

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• Revisiting Fractional Cosmology
• Dark Energy within the Generalized Uncertainty Principle in Light of DESI DR2
• Classical and quantum exact solutions for a FRW in chiral like cosmology
• Averaging Generalized Scalar Field Cosmologies I: Locally Rotationally Symmetric Bianchi III and open Friedmann-Lemaître-Robertson-Walker models
• Quintom fields from chiral K-essence cosmology
• Dynamically Generated Inflationary Lambda-CDM
• New conservation laws and exact cosmological solutions in Brans-Dicke cosmology with an extra scalar field
• Asymptotic behavior of $N$-fields Chiral Cosmology
• Anisotropic chiral cosmology: exact solutions
• Scalar field evolution at background and perturbation levels for a broad class of potentials
• Quantization of Einstein-aether Scalar field Cosmology
• Variational symmetries and superintegrability in multifield cosmology
• Time-covariant Schrödinger equation and invariant decay probability: The $\Lambda$-Kantowski-Sachs universe