Dynamical System Analysis of Cosmologies with Running Cosmological Constant from Quantum Einstein Gravity

Abstract

We discuss a mechanism that induces a time-dependent vacuum energy on cosmological scales. It is based on the instability induced renormalization triggered by the low energy quantum fluctuations in a Universe with a positive cosmological constant. We employ the dynamical systems approach to study the qualitative behavior of Friedmann-Robertson-Walker cosmologies where the cosmological constant is dynamically evolving according with this nonperturbative scaling at low energies. It will be shown that it is possible to realize a "two regimes" dark energy phases, where an unstable early phase of power-law evolution of the scale factor is followed by an accelerated expansion era at late times.

26 pages, 4 figures. To appear in New Journal of Physics

References in corpus (14)

• Fixed Points of Higher Derivative Gravity
• Ultraviolet properties of f(R)-Gravity
• Spacetime Structure of an Evaporating Black Hole in Quantum Gravity
• Taming perturbative divergences in asymptotically safe gravity
• Renormalization group improved gravitational actions: a Brans-Dicke approach
• Bimetric Renormalization Group Flows in Quantum Einstein Gravity
• Background Independence and Asymptotic Safety in Conformally Reduced Gravity
• Cosmological dynamics of Scalar--Tensor Gravity
• Some remarks on the dynamical systems approach to fourth order gravity
• The role of Background Independence for Asymptotic Safety in Quantum Einstein Gravity
• Cosmological dynamics of exponential gravity
• Dynamics of a scalar field in Robertson-Walker spacetimes
• Primordial Entropy Production and Lambda-driven Inflation from Quantum Einstein Gravity
• Spherically symmetric ADM gravity with variable G and Lambda(c)

Cited by in corpus (33)

• The nonperturbative functional renormalization group and its applications
• Dynamical systems applied to cosmology: dark energy and modified gravity
• Asymptotically safe cosmology - a status report
• A dynamical system analysis of hybrid metric-Palatini cosmologies
• Cosmological phase space analysis of the F (X) - V (phi) scalar field and bouncing solutions
• Dynamical system analysis for nonminimal torsion-matter coupled gravity
• Evolutionary behaviour of cosmological parameters with dynamical system analysis in f (Q, T) gravity
• Consequences of energy conservation violation: Late time solutions of $\Lambda (T)CDM$ subclass of $f(R,T)$ gravity using dynamical system approach
• Accelerating cosmological models in $f(Q)$ gravity and the phase space analysis
• A new approach to the analysis of the phase space of f(R)-gravity
• Improved Reissner-Nordström-(A)dS Black Hole in Asymptotic Safety
• Cosmology of $f(R,\square R)$ gravity
• Phase space of modified Gauss-Bonnet gravity
• The dynamics of Bianchi I universes in $R^n$ cosmologies with torsion
• A Cyclic Universe With Varying Cosmological Constant in $f(R,T)$ gravity
• New class of generalized coupling theories
• A solution of the dark energy and its coincidence problem based on local antigravity sources without fine-tuning or new scales
• A stable flat universe with variable Cosmological constant in f(R,T) Gravity
• Cosmological Evolution of Two-Scalar fields Cosmology in the Jordan frame
• Dynamical reconstruction of the $\Lambda$CDM model in scalar-tensor $f(R,T)$ gravity
• Dynamical system analysis of cosmological evolution in the Aether scalar tensor theory
• Dynamical system approach to running $\Lambda$ cosmological models
• Jacobi stability analysis of scalar field models with minimal coupling to gravity in a cosmological background
• Swiss-cheese cosmologies with variable $G$ and $\Lambda$ from the renormalization group
• Singularity formation in asymptotically safe cosmology with inhomogeneous equation of state
• Degeneracy induced scaling of the correlation length for periodic models
• Dynamical systems of cosmological models for different possibilities of $G$ and ${\rho }_{\Lambda }$
• Non minimally coupled condensate cosmologies: a phase space analysis
• Dynamical reconstruction of the $\Lambda$CDM model in hybrid metric-Palatini gravity
• Type V singularities with inhomogeneous equations of state
• Constraining the swiss-cheese IR-fixed point cosmology with cosmic expansion
• $\Lambda$CDM-like evolution in Einstein-scalar-Gauss-Bonnet gravity
• Does Holographic equipartition demand a pure cosmological constant?