Dynamics of a homogeneous and isotropic space in pure cubic f(R) gravity

Abstract

We consider a possible ways of the dynamics of a homogeneous and isotropic space described by the FLRW metric in the framework of cubic f(R) gravity in the absence of matter. This article points an method for limiting the parameters of extended gravity models. We propose and develop a method for f(R) gravity models based on the dynamics of metrics for various model parameters in the simplest example. The influence of parameters and initial conditions on further dynamics are discussed. The parameters can be limited by 1) slow growth of space, 2) instability, 3) divergence with the inflationary scenario.

References in corpus (20)

• Observational Evidence from Supernovae for an Accelerating Universe and a Cosmological Constant
• Measurements of Omega and Lambda from 42 High-Redshift Supernovae
• Unified cosmic history in modified gravity: from F(R) theory to Lorentz non-invariant models
• The Confrontation between General Relativity and Experiment
• f(R) theories
• Extended Theories of Gravity
• Modified gravity with negative and positive powers of the curvature: unification of the inflation and of the cosmic acceleration
• Testing General Relativity with Present and Future Astrophysical Observations
• Disappearing cosmological constant in f(R) gravity
• Planck 2018 results. VII. Isotropy and Statistics of the CMB
• Gravitational Wave Tests of General Relativity with Ground-Based Detectors and Pulsar Timing Arrays
• Observational signatures of f(R) dark energy models that satisfy cosmological and local gravity constraints
• Planck 2018 results. III. High Frequency Instrument data processing and frequency maps
• Cosmological reconstruction of realistic modified F(R) gravities
• Black holes, cosmological solutions, future singularities, and their thermodynamical properties in modified gravity theories
• On the Unification Problem in Physics
• Occurrence of exact $R^2$ inflation in non-local UV-complete gravity
• Beyond the Starobinsky model for inflation
• Gravity with Higher Derivatives in D-Dimensions
• Sub-Planckian scale and limits for $f(R)$ models