Future singularity avoidance in phantom dark energy models

Abstract

Different approaches to quantum cosmology are studied in order to deal with the future singularity avoidance problem. Our results show that these future singularities will persist but could take different forms. As an example we have studied the big rip which appear when one considers the state equation $P=\omega \rho$ with $\omega <-1$, showing that it does not disappear in modified gravity. On the other hand, it is well-known that quantum geometric effects (holonomy corrections) in loop quantum cosmology introduce a quadratic modification, namely proportional to ${\rho }^2$, in Friedmann's equation that replace the big rip by a non-singular bounce. However this modified Friedmann equation could have been obtained in an inconsistent way, what means that the obtained results from this equation, in particular singularity avoidance, would be incorrect. In fact, we will show that instead of a non-singular bounce, the big rip singularity would be replaced, in loop quantum cosmology, by other kind of singularity.

Accepted for publication in JCAP

References in corpus (14)

• Loop Quantum Cosmology: A Status Report
• Dark energy in modified Gauss-Bonnet gravity: late-time acceleration and the hierarchy problem
• Quantum Nature of the Big Bang: An Analytical and Numerical Investigation
• Are f(R) dark energy models cosmologically viable ?
• Future of the universe in modified gravitational theories: Approaching to the finite-time future singularity
• Are loop quantum cosmos never singular?
• Avoidance of future singularities in loop quantum cosmology
• Loop cosmological dynamics and dualities with Randall-Sundrum braneworlds
• A geometric perspective on singularity resolution and uniqueness in loop quantum cosmology
• Phantom field dynamics in loop quantum cosmology
• Consistent Loop Quantum Cosmology
• Turning Big Bang into Big Bounce: I. Classical Dynamics
• Type I singularities and the Phantom Menace
• Transcending Big Bang in Loop Quantum Cosmology: Recent Advances

Cited by in corpus (18)

• Bouncing Loop Quantum Cosmology from $F(T)$ gravity
• Future singularities and Teleparallelism in Loop Quantum Cosmology
• Finite-time Cosmological Singularities and the Possible Fate of the Universe
• Viability of the matter bounce scenario in Loop Quantum Cosmology for general potentials
• On $R+\alpha R^2$ Loop Quantum Cosmology
• Does loop quantum cosmology replace the big rip singularity by a non-singular bounce?
• Deformed Matter Bounce with Dark Energy Epoch
• Bouncing cosmology in modified gravity with higher-order Gauss-Bonnet curvature term
• Limiting curvature mimetic gravity and its relation to Loop Quantum Cosmology
• Luminosity Spectrum Reconstruction at Linear Colliders
• Bouncing cosmologies via modified gravity in the ADM formalism: Application to Loop Quantum Cosmology
• Direct searches of Type III seesaw triplet fermions at high energy $e^{+}{e}^{-}$ collider
• Reconstructing the Universe Evolution from Loop Quantum Cosmology Scalar Fields
• Viable Inflationary Evolution from Loop Quantum Cosmology Scalar-Tensor Theory
• Note on bouncing backgrounds
• On the fate of the phantom dark energy universe in semiclassical gravity II: Scalar phantom fields
• Causal horizons in a bouncing universe
• On gravitational spherical collapse without spacetime singularity