Dynamical behavior in mimeticF(R) gravity

2015/01/31 by Genly Leon, Genly León, Emmanuel N. Saridakis · 132 citations
Physics and Astronomy · #Astrophysics #Black Holes and Theoretical Physics #Classical mechanics #Cosmology #Cosmology and Gravitation Theories #Dark energy #Galaxies: Formation, Evolution, Phenomena #Gravitation #Graviton #Massive gravity #Mathematical physics #Metric (unit) #Physics #Quantum #Quantum gravity #Quantum mechanics #Term (time) #Theoretical physics #Universe #f(R) gravity #gr-qc

paper · pdf · doi:10.1088/1475-7516/2015/04/031

published in Journal of Cosmology and Astroparticle Physics 2015(04), 031 (Institute of Physics) · 33 pages, 6 figures, 6 tables, version published in JCAP

openalex publication_date 2015/04/20 · arxiv created 2015/04/21 · arxiv updated 2015/04/22 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/06

Abstract

We investigate the cosmological behavior of mimetic F ( R ) gravity. This scenario is the F ( R ) extension of usual mimetic gravity classes, which are based on re-parametrizations of the metric using new, but not propagating, degrees of freedom, that can lead to a wider family of solutions. Performing a detailed dynamical analysis for exponential, power-law, and arbitrary F ( R ) forms, we extracted the corresponding critical points. Interestingly enough, we found that although the new features of mimetic F ( R ) gravity can affect the universe evolution at early and intermediate times, at late times they will not have any effect, and the universe will result at stable states that coincide with those of usual F ( R ) gravity. However, this feature holds for the late-time background evolution only. On the contrary, the behavior of the perturbations is expected to be different since the new term contributes to the perturbations even if it does not contribute at the background level.

Citations

• Unified cosmic history in modified gravity: from F(R) theory to Lorentz non-invariant models
• Models of non-relativistic quantum gravity: the good, the bad and the healthy
• Singularities in Horava–Lifshitz theory
• Conditions for the cosmological viability off(R)dark energy models
• Class of viable modifiedf(R)gravities describing inflation and the onset of accelerated expansion
• Constrainingf(R)gravity as a scalar-tensor theory
• Mimetic F(R) gravity: inflation, dark energy and bounce
• Reconstructing Dark Energy
• Theoretical Aspects of Massive Gravity
• Consistent Extension of Hořava Gravity
• Modifiedf(R)gravity unifyingRminflation with theΛCDMepoch
• Generalized Galileons: All scalar models whose curved background extensions maintain second-order field equations and stress tensors
• Modified Gauss-Bonnet theory as gravitational alternative for dark energy
• Resummation of Massive Gravity
• Scalar field perturbations in Hořava-Lifshitz cosmology
• Limits on dark radiation, early dark energy, and relativistic degrees of freedom
• Dynamics of dark energy
• Reconciling dark energy models withf(R)theories
• Renormalization of higher-derivative quantum gravity
• The galileon as a local modification of gravity
• Dynamics of linear perturbations inf(R)gravity
• INTRODUCTION TO MODIFIED GRAVITY AND GRAVITATIONAL ALTERNATIVE FOR DARK ENERGY
• Covariant Galileon
• Massive Gravity

Cited by

• Two-field mimetic gravity revisited and Hamiltonian analysis
• Aspects of late-time evolution in mimetic F(R) gravity
• Late-time cosmological evolution of a general class of f(R,T) f ( R , T ) gravity with minimal curvature-matter coupling
• Phase space description of nonlocal teleparallel gravity
• Two-field disformal transformation and mimetic cosmology
• Direct couplings of mimetic dark matter and their cosmological effects