Effects of quantum fluctuations of metric on the universe

Abstract

We consider a model of modified gravity from the nonperturbative quantization of a metric. We obtain the modified gravitational field equations and the modified conservational equations. We apply it to the FLRW spacetime and find that due to the quantum fluctuations a bounce universe can be obtained and a decelerated expansion can also possibly be obtained in a dark energy dominated epoch. We also discuss the effects of quantum fluctuations on inflation parameters (such as slow-roll parameters, spectral index, and the spectrum of the primordial curvature perturbation) and find values of parameters in the comparing the predictions of inflation can also work to drive the current epoch of acceleration. We obtain the constraints on the parameter of the theory from the observation of the big bang nucleosynthesis.

7 pages, no figure

References in corpus (20)

• Unified cosmic history in modified gravity: from F(R) theory to Lorentz non-invariant models
• f(R,T) gravity
• Dark torsion as the cosmic speed-up
• Extra force in $f(R)$ modified theories of gravity
• Primordial Nucleosynthesis: from precision cosmology to fundamental physics
• Approaches to Understanding Cosmic Acceleration
• Nonminimal coupling of perfect fluids to curvature
• Modified gravity with arbitrary coupling between matter and geometry
• Big Bang Nucleosynthesis as a Probe of New Physics
• Gravitational induced particle production through a nonminimal curvature-matter coupling
• Standard big bang nucleosynthesis and primordial CNO Abundances after Planck
• Reheating via a generalized non-minimal coupling of curvature to matter
• Constraining The Early-Universe Baryon Density And Expansion Rate
• Can Dark Matter Decay in Dark Energy?
• Modified gravity from the nonperturbative quantization of a metric
• Newton's constant in f(R,R_{μν}R^{μν},\Box R) theories of gravity and constraints from BBN
• Is the continuous matter creation cosmology an alternative to $\Lambda$CDM?
• Gravitationally Induced Particle Production and its Impact on the WIMP Abundance
• Big-Bang Nucleosynthesis in comparison with observed helium and deuterium abundances - possibility of a non-standard model
• BBN And The CBR Probe The Early Universe

Cited by in corpus (17)

• $f(Q,T)$ gravity
• Weyl type $f(Q,T)$ gravity, and its cosmological implications
• Palatini formulation of $f(R,T)$ gravity theory, and its cosmological implications
• Cosmological implications of modified gravity induced by quantum metric fluctuations
• Beyond Einstein's General Relativity: Hybrid metric-Palatini gravity and curvature-matter couplings
• Dynamical reconstruction of the $\Lambda$CDM model in the scalar-tensor representation of $f\left(Q,T\right)$ gravity
• Modified Teleparallel Gravity induced by quantum fluctuations
• Black hole solutions in modified gravity induced by quantum metric fluctuations
• Confronting quantum-corrected teleparallel cosmology with observations
• Matter really does matter, or Why $f(R,\mathrm{Matter})$ type theories are significant for gravitational physics and cosmology
• Baryogenesis in quantum fluctuation modified gravity
• Gödel and Gödel-type solutions in the Palatini $f(R,T)$ gravity theory
• Observational properties of black hole in quantum fluctuation modified gravity
• Black holes in $f(R)$ gravity coupled to nonlinear electromagnetic fields
• Regular black hole solutions in $(2+1)$-dimensional $f(R,T)$ gravity coupled to nonlinear electrodynamics
• Kiselev Black holes in quantum fluctuation modified gravity
• Inflation and primordial fluctuations in $f(Q,T)$ gravity