Cosmology of $f(R,\square R)$ gravity

Abstract

Using dynamical system analysis, we explore the cosmology of theories of order up to eight order of the form $f(R,\square R)$. The phase space of these cosmology reveals that higher-order terms can have a dramatic influence on the evolution of the cosmology, avoiding the onset of finite time singularities. We also confirm and extend some of results which were obtained in the past for this class of theories.

arXiv comment26 pages, 7 tables, 8 figures, extended and improved version of the paper

References in corpus (31)

• f(R) Theories Of Gravity
• Unified cosmic history in modified gravity: from F(R) theory to Lorentz non-invariant models
• f(R) theories
• Modified Gravity Theories on a Nutshell: Inflation, Bounce and Late-time Evolution
• Modified Gauss-Bonnet theory as gravitational alternative for dark energy
• Dynamical systems applied to cosmology: dark energy and modified gravity
• Extended Gravity Theories and the Einstein-Hilbert Action
• Quintessence without scalar fields
• Cosmological dynamics of R^n gravity
• Towards a Resolution of the Cosmological Singularity in Non-local Higher Derivative Theories of Gravity
• Hybrid metric-Palatini gravity
• Autonomous Dynamical System Approach for $f(R)$ Gravity
• Cosmological dynamics of Scalar--Tensor Gravity
• Some remarks on the dynamical systems approach to fourth order gravity
• Shear dynamics in Bianchi I cosmologies with R^n-gravity
• A dynamical system analysis of hybrid metric-Palatini cosmologies
• An analysis of the phase space of Horava-Lifshitz cosmologies
• Cosmological dynamics of exponential gravity
• On dynamical systems approaches and methods in $f(R)$ cosmology
• Dynamical system analysis for nonminimal torsion-matter coupled gravity
• Cosmology in new gravitational scalar-tensor theories
• Global gravitational instability of FLRW backgrounds - interpreting the dark sectors
• Dynamical System Analysis of Cosmologies with Running Cosmological Constant from Quantum Einstein Gravity
• A new approach to the analysis of the phase space of f(R)-gravity
• Phase space of modified Gauss-Bonnet gravity
• A dynamical system approach to higher order gravity
• The dynamics of Bianchi I universes in $R^n$ cosmologies with torsion
• Bounce and cyclic cosmology in new gravitational scalar-tensor theories
• Observational constraints to a phenomenological $f\left(R,\nabla R\right)$-model
• Non minimally coupled condensate cosmologies: a phase space analysis
• Cosmological dynamics of fourth order gravity

Cited by in corpus (16)

• The CosmoVerse White Paper: Addressing observational tensions in cosmology with systematics and fundamental physics
• On higher derivative corrections to the $R+R^2$ inflationary model
• Novel higher-curvature variations of $R^2$ inflation
• Gravitational wave echoes from compact stars in $f(\mathcal{R},T)$ gravity
• New class of generalized coupling theories
• 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
• FLRW-Cosmology in Generic Gravity Theories
• Dynamical reconstruction of the $\Lambda$CDM model in the scalar-tensor representation of $f\left(Q,T\right)$ gravity
• Dynamical reconstruction of the $\Lambda$CDM model in hybrid metric-Palatini gravity
• Cosmological dynamics and bifurcation analysis of the general non-minimally coupled scalar field models
• Ghosts in higher derivative Maxwell-Chern-Simon's theory and $\mathcal{P}\mathcal{T}-$symmetry
• Hybrid branes from split kinks
• $\Lambda$CDM-like evolution in Einstein-scalar-Gauss-Bonnet gravity
• A connection between Gravitational Scalar-Tensor theories and Generalized Hybrid theories
• Quantum Cosmology in $f(Q)$ theory