Singularity formation in asymptotically safe cosmology with inhomogeneous equation of state

Abstract

Interest in cosmological singularities has remarkably grown in recent times, particularly on future singularities with the discovery of late-time acceleration of the universe and dark energy. While such explorations have previously been done in various modified gravity and quantum gravitationally inspired cosmologies (besides standard general relativistic cosmology), no such an endeavour has been taken up till now in the realms of renormalization group approaches to cosmology and we have hence took up on this journey. In this work, we consider the formation of cosmological singularities in an asymptotically safe cosmology where the cut off scale is proportional to the Hubble parameter. We consider a well motivated inhomogeneous form of the equation of state(EOS) as well. We firstly delve into some basics of this cosmology and show that such a scenario permits a transition between phantom and quintessence forms of universal evolution. We then show that one can have Type I - Type IV singularities in such a cosmology for various version of the EOS and that the singularities can occur both in finite and infinite time. The conditions in which these singularities occur is significantly different than how they occur in the standard cosmology, with the formulations being even more involved. Interestingly this difference comes about without the need of any free parameters in the cosmological models, which is usually what one observes when one goes for the same pursuit via various modified gravity/ QG inspired cosmological approaches. Furthermore, we showed that usual singularity removal methods like conformal anomaly effects and f(R) gravity effects do not offer much hope for singularity removal in this cosmology.

arXiv commentv2, 22 pages with no figures with minor changes, matches the published version in JCAP

References in corpus (55)

• Observational Evidence from Supernovae for an Accelerating Universe and a Cosmological Constant
• Unified cosmic history in modified gravity: from F(R) theory to Lorentz non-invariant models
• Extended Theories of Gravity
• 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
• Phantom Energy and Cosmic Doomsday
• Curvature Quintessence
• Properties of singularities in (phantom) dark energy universe
• Inhomogeneous Equation of State of the Universe: Phantom Era, Future Singularity and Crossing the Phantom Barrier
• Quintessence: A Review
• The final state and thermodynamics of dark energy universe
• Twenty Years of the Weyl Anomaly
• Sudden Future Singularities
• Quintessence as a run-away dilaton
• Future of the universe in modified gravitational theories: Approaching to the finite-time future singularity
• Quintessence without scalar fields
• Tachyons, Scalar Fields and Cosmology
• Quantum escape of sudden future singularity
• Inflation and quintessence with nonminimal coupling
• Cosmology of the Planck Era from a Renormalization Group for Quantum Gravity
• The future evolution and finite-time singularities in $F(R)$-gravity unifying the inflation and cosmic acceleration
• Quiescent cosmological singularities
• Cosmology with Self-Adjusting Vacuum Energy Density from a Renormalization Group Fixed Point
• "Expansion" around the vacuum equation of state - sudden future singularities and asymptotic behavior
• Worse than a big rip?
• Singular Bouncing Cosmology from Gauss-Bonnet Modified Gravity
• Asymptotically Safe Inflation
• Asymptotically safe cosmology - a status report
• From Big Bang to Asymptotic de Sitter: Complete Cosmologies in a Quantum Gravity Framework
• On the cosmological constant problem
• Entropy signature of the running cosmological constant
• Confronting the IR Fixed Point Cosmology with High Redshift Observations
• Singular Inflationary Universe from $F(R)$ Gravity
• Inflationary solutions in asymptotically safe f(R) theories
• Trace-anomaly driven inflation in modified gravity and the BICEP2 result
• Exact renormalization group with optimal scale and its application to cosmology
• Asymptotically Safe Cosmology
• AdS/CFT correspondence, conformal anomaly and quantum corrected entropy bounds
• $w$-cosmological singularities
• Asymptotically safe gravity as a scalar-tensor theory and its cosmological implications
• Did the Universe Experienced a Pressure non-Crushing Type Cosmological Singularity in the Recent Past?
• Asymptotic Safety, Singularities, and Gravitational Collapse
• Hidden past of dark energy cosmological models
• Dynamical System Analysis of Cosmologies with Running Cosmological Constant from Quantum Einstein Gravity
• Constraining the Asymptotically Safe Cosmology: cosmic acceleration without dark energy
• Singular $F(R)$ Cosmology Unifying Early and Late-time Acceleration with Matter and Radiation Domination Era
• Renormalisation group improvement of scalar field inflation
• Grand Rip and Grand Bang/Crunch cosmological singularities
• Entropy Production during Asymptotically Safe Inflation
• From Asymptotic Safety to Dark Energy
• Small Cosmological Constant from Running Gravitational Coupling
• On finite time singularities in scalar field dark energy models based in the RS-II Braneworld
• Type V singularities in non-standard cosmological backgrounds
• Inaccessible Singularities in Toral Cosmology

Cited by in corpus (10)

• Horizon-scale tests of gravity theories and fundamental physics from the Event Horizon Telescope image of Sagittarius A${}^{\ast }$
• Finite-time Cosmological Singularities and the Possible Fate of the Universe
• Recent advances in cosmological singularities
• Tsallis holographic dark energy with power law ansatz approach
• Rips and regular future scenario with Holographic Dark Energy: A comprehensive look
• Cosmological singularities in non-canonical models of dark energy
• Sudden cosmological singularities in Aether scalar-tensor theories
• Future Dark Energy Constraints from Atomic Clocks
• Thermodynamic Split Conjecture and an Observational Test for Cosmological Entropy
• Cosmological Implications of Thermodynamic Split Conjecture