Bouncing and collapsing universes dual to late-time cosmological models

Abstract

We use the Jordan frame-Einstein frame correspondence to explore dual universes with contrasting cosmological evolutions. We study the mapping between Einstein and Jordan frames where the Einstein frame universe describes the late-time evolution of the physical universe, which is driven by dark energy and non-relativistic matter. The Brans-Dicke theory of gravity is considered to be the dual scalar-tensor theory in the Jordan frame. We show that an Einstein frame universe, with cosmological evolution of the $\Lambda$CDM model, always corresponds to a bouncing Jordan frame universe governed by a Brans-Dicke theory. On the other hand, quintessence models of dark energy with non-relativistic matter component are shown to be always dual to a Brans-Dicke Jordan frame with a turn-around, i.e., a bounce or a collapse. The evolution of the equation of state of the quintessence field determines whether the turn-around is a bounce or a collapse. The point of the Jordan frame turn-around for all the cases can be tuned anywhere by choosing an appropriate Brans-Dicke parameter. This essentially leads to alternative descriptions of the late-time evolution of the physical universe, in terms of bouncing or collapsing Brans-Dicke universes in the Jordan frame. Therefore,the effect of dark energy can equivalently be seen as collapse of space in a conformally connected universe. We further study the stability of such conformal maps against linear perturbations. The effective bouncing and collapsing descriptions of the current accelerating universe may have interesting implications for the evolutions of perturbations and quantum fluctuations in the cosmological background.

arXiv comment36 pages, 12 figures, minor changes

References in corpus (60)

• Dynamics of dark energy
• f(R) Theories Of Gravity
• f(R) theories
• Cosmological Constant - the Weight of the Vacuum
• Modified Gravity Theories on a Nutshell: Inflation, Bounce and Late-time Evolution
• Quintessence, Cosmic Coincidence, and the Cosmological Constant
• The Cosmological Constant
• Quintessence: A Review
• Dilaton Gravity in Two Dimensions
• Bouncing Cosmologies: Progress and Problems
• A Critical Review of Classical Bouncing Cosmologies
• The conformal frame freedom in theories of gravitation
• Phantom scalar dark energy as modified gravity: understanding the origin of the Big Rip singularity
• Constraining the equation of state of the Universe from Distant Type Ia Supernovae and Cosmic Microwave Background Anisotropies
• The (pseudo)issue of the conformal frame revisited
• Question of quantum equivalence between Jordan frame and Einstein frame
• Equivalence of the Einstein and Jordan frames
• Cosmological constraints on Brans-Dicke theory
• Gauge-ready formulation of the cosmological kinetic theory in generalized gravity theories
• Observational Constraints on Quintessence: Thawing, Tracker, and Scaling models
• Bouncing Cosmology made simple
• Conformal-Frame (In)dependence of Cosmological Observations in Scalar-Tensor Theory
• Selected topics in scalar-tensor theories and beyond
• Correspondence of $F(R)$ Gravity Singularities in Jordan and Einstein Frames
• De Sitter Breaking through Infrared Divergences
• Evolution of Structures in Generalized Gravity Theories
• Unified Analysis of Cosmological Perturbations in Generalized Gravity
• Dark energy equation of state parameter and its variation at low redshifts
• Deceleration versus Acceleration Universe in Different Frames of $F(R)$ Gravity
• Constraints on the Brans-Dicke gravity theory with the Planck data
• A Universe without expansion
• A question mark on the equivalence of Einstein and Jordan frames
• Bouncing Universes in Scalar-Tensor Gravity Models admitting Negative Potentials
• Non-minimal couplings, quantum geometry and black hole entropy
• Scalar perturbations in regular two-component bouncing cosmologies
• Reconstructing the dark energy potential
• Regular two-component bouncing cosmologies and perturbations therein
• The anamorphic universe
• Frame independent cosmological perturbations
• A comparison between Jordan and Einstein frames of Brans-Dicke gravity a la loop quantum cosmology
• Hot big bang or slow freeze?
• Positive specific heat of the quantum corrected dilaton black hole
• Cosmological bounces in spatially flat FRW spacetimes in metric f(R) gravity
• General solution for scalar perturbations in bouncing cosmologies
• Quantum Correlators in Friedmann Spacetimes -The omnipresent de Sitter and the invariant vacuum noise
• Cosmological Number Counts in Einstein and Jordan frames
• Scalar Field Cosmologies With Inverted Potentials
• Conflation: a new type of accelerated expansion
• Cosmology in Brans-Dicke-de Rham-Gabadadze-Tolley massive gravity
• Intricacies of Cosmological bounce in polynomial metric $f(R)$ gravity for flat FLRW spacetime
• Light scalars on cosmological backgrounds
• Stress energy correlator in de Sitter space-time : its conformal masking or growth in connected Friedmann universes
• Solar System Tests in Brans-Dicke and Palatini f(R)-theories
• Bouncing Cosmological Isotropic Solutions in Scalar-Tensor Gravity
• Unruh deWitt probe of late time revival of quantum correlations in Friedmann spacetimes
• Dynamics of Cosmological Perturbations and Reheating in the Anamorphic Universe
• Evolution of scalar and vector cosmological perturbations through a bounce in metric $f(R)$ gravity in flat FLRW spacetime
• Einstein and Jordan frame correspondence in quantum cosmology: Expansion-collapse duality
• $f(R)$ Dual Theories of Quintessence : Expansion-Collapse Duality
• Bouncing Cosmologies