Bouncing and emergent cosmologies from ADM RG flows

Abstract

The Asymptotically Safe Gravity provides a framework for the description of gravity from the trans-Planckian regime to cosmological scales. According to this scenario, the cosmological constant and Newton's coupling are functions of the energy scale whose evolution is dictated by the renormalization group equations. The formulation of the renormalization group equations on foliated spacetimes, based on the Arnowitt-Deser-Misner (ADM) formalism, furnishes a natural way to construct the RG energy scale from the spectrum of the laplacian operator on the spatial slices. Combining this idea with a Renormalization Group improvement procedure, in this work we study quantum gravitational corrections to the Einstein-Hilbert action on Friedmann-Lemaître-Robertson-Walker (FLRW) backgrounds. The resulting quantum-corrected Friedmann equations can give rise to both bouncing cosmologies and emergent universe solutions. Our bouncing models do not require the presence of exotic matter and emergent universe solutions can be constructed for any allowed topology of the spatial slices.

8 pages, 1 figure. V2: references added

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• Formation and evaporation of quantum black holes from the decoupling mechanism in quantum gravity
• Cosmological constant problem: deflation during inflation
• Vacuum fluctuation, micro-cyclic "universes" and the cosmological constant problem
• Effective field equations and scale-dependent couplings in gravity
• No-boundary Wave Function, Wheeler-DeWitt Equation and Path Integral Analysis of the Bouncing `Quantum' Cosmology
• Canonical Analysis of Brans-Dicke Theory Addresses Hamiltonian Inequivalence between Jordan and Einstein Frames
• Bouncing with shear: Implications from quantum cosmology
• Swiss-cheese cosmologies with variable $G$ and $\Lambda$ from the renormalization group
• Schwarzschild-like Wormholes in Asymptotically Safe Gravity
• Quantum gravity phenomenology at the dawn of the multi-messenger era -- A review
• Five-dimensional scale-dependent black holes with constant curvature and Solv horizons
• Jordan and Einstein Frames from the perspective of $\omega =-3/2$ Hamiltonian Brans-Dicke theory
• Variable $G$ and $\Lambda$ gravity theory and analytical Cosmological Solutions using Noether symmetry approach
• Vacuum Energy and Renormalization of the Field-Independent Term
• Modified Friedmann equations and non-singular cosmologies in $d=4$ non-polynomial quasi-topological gravities
• Regular Black Hole Cores via Gravitational Evanescence of Collapsing Matter
• Dynamical analysis and cosmological viability of varying $G$ and $\Lambda$ cosmology
• Causality, unitarity and stability in quantum gravity: a non-perturbative perspective
• Some Aspects of the Canonical Analysis of Reuter-Weyer RG Improved Einstein-Hilbert Action