On finite time singularities in scalar field dark energy models based in the RS-II Braneworld

Abstract

The quest of deciphering the true nature of dark energy has proven to be one of the most exciting in recent times in cosmology. Various ideas have been put forward in this regard besides the usual cosmological constant approach, ranging from scalar field based models like Quintessence and Phantom dark energy to various modified gravity approaches as well. A very interesting idea then is to consider scalar field dark energy models in quantum gravitationally corrected cosmologies with the RS-II Braneworld being one of the most well known in this regard. So in this work, we consider RS-II Braneworld based scalar field dark energy models and try to look out for the existence of finite time singularities in these regimes both through a dynamical system perspective, for which we employ the Goriely-Hyde singularity analysis method, and a physical perspective. Our approach is general in the sense that it is not limited to any particular class of potentials or for any constrained parameter region for the brane tension and is valid for both Quintessence and phantom dark energy regimes. We firstly show through Goriely-Hyde procedure that finite time singularities can exist in these models for a limited set of initial conditions and that this result would hold irrespective of any consideration given to the swampland dS conjecture. We then discuss the physical nature of the singularities that can occur in this regime, where we use a well motivated ansatz for the Hubble parameter and show that these models of dark energy can allow for weak singularities like those of Type III and Type IV and can also allow for strong singularities like the Big Rip (Type I).

v2, 17 pages with no figures, matches the published version in EPJC

References in corpus (17)

• Dynamics of dark energy
• Unified cosmic history in modified gravity: from F(R) theory to Lorentz non-invariant models
• Dark energy cosmology: the equivalent description via different theoretical models and cosmography tests
• In the Realm of the Hubble tension $-$ a Review of Solutions
• Future of the universe in modified gravitational theories: Approaching to the finite-time future singularity
• The future evolution and finite-time singularities in $F(R)$-gravity unifying the inflation and cosmic acceleration
• $w$-cosmological singularities
• Did the Universe Experienced a Pressure non-Crushing Type Cosmological Singularity in the Recent Past?
• Geometrization of light bending and its application to SdSw spacetime
• Brane assisted quintessential inflation with transient acceleration
• The Dominant Balance at Cosmological Singularities
• Brane singularities and their avoidance
• Self-interacting Scalar Field Trapped in a Randall-Sundrum Braneworld: The Dynamical Systems Perspective
• Asymptotics of flat, radiation universes in quadratic gravity
• Kaluza-Klein braneworld cosmology with static internal dimensions
• Brane singularities with mixtures in the bulk
• Dynamical System Analysis of Randall-Sundrum Model with Tachyon Field on the Brane

Cited by in corpus (1)

• Singularity formation in asymptotically safe cosmology with inhomogeneous equation of state