Quantum behavior of the "Little Sibling" of the Big Rip induced by a three-form field

Abstract

A canonical quantization à la Wheeler-DeWitt is performed for a model of three-form fields in a homogeneous and isotropic universe. We start by carrying out the Hamiltonian formalism of this cosmological model. We then apply this formalism to a Little Sibling of the Big Rip (LSBR), an abrupt event milder than a Big Rip and that is known to be generic to several minimally coupled three-form fields for a variety of potentials. We obtain a set of analytical solutions of the Wheeler-DeWitt equation using different analytical approximations and explore the physical consequences of them. It turns out that there are quantum states where the wave function of the universe vanishes, i.e. the DeWitt condition is fulfilled for them. Given that this happens only for some subset of solutions of the Wheeler-DeWitt equation, this points out that the matter inducing the LSBR is equally important in the process as, it has been previously shown, a minimally coupled phantom scalar field feeding classically a LSBR is smoothed at the quantum level, i.e. all the quantum states lead to a vanishing wave function.

16 pages, 3 figures

References in corpus (9)

• Dark Energy Survey Year 1 Results: Cosmological Constraints from Galaxy Clustering and Weak Lensing
• Inflation from N-Forms and its stability
• P-nflation: generating cosmic Inflation with p-forms
• On the quantum fate of singularities in a dark-energy dominated universe
• The little sibling of the big rip singularity
• Interacting 3-form dark energy models: distinguishing interactions and avoiding the Little Sibling of the Big Rip
• Cosmic infinity: A dynamical system approach
• Inflation in a two 3-form fields scenario
• Non-Gaussianity in multiple three-form field inflation

Cited by in corpus (12)

• Cosmological constraints of phantom dark energy models
• Smoothing the $H_0$ tension with a dynamical dark energy model
• Traversable Wormhole in Einstein 3-Form Theory With Self-Interacting Potential
• Constraining the cosmological model of modified $f(Q)$ gravity: Phantom dark energy and observational insights
• Regular Black Hole Interior Spacetime Supported by Three-Form Field
• Cosmological constraints on dynamical dark energy model in $F(Q)$ gravity
• Phantom energy dominated universe as a transient stage in $f(R)$ cosmology
• Black hole and naked singularity geometries supported by three-form fields
• Cosmic jerk parameter in symmetric teleparallel cosmology
• A varying Dark Energy effective speed of sound parameter in the phantom Universe
• Non-canonical 3-form dark energy
• Scaling solutions in three-form cosmology