Global asymptotic dynamics of Cosmological Einsteinian Cubic Gravity

Abstract

In this paper we investigate the cosmological dynamics of an up to cubic curvature correction to General Relativity (GR) known as Cosmological Einsteinian Cubic Gravity (CECG), whose vacuum spectrum consists of the graviton exclusively and its cosmology is well-posed as an initial value problem. We are able to uncover the global asymptotic structure of the phase space of this theory. It is revealed that an inflationary matter-dominated bigbang is the global past attractor which means that inflation is the starting point of any physically meaningful cosmic history. Given that higher order curvature corrections to GR are assumed to influence the cosmological dynamics at early times -- high energies/large curvature limit -- the late-time inflation can not be a consequence of the up to cubic order curvature modifications. We confirm this assumption by showing that late-time acceleration of the expansion in the CECG model is possible only if add a cosmological constant term.

arXiv comment9 pages, 3 figures. A figure and several bibliographic references added. Acknowledgments modified

References in corpus (21)

• Unified cosmic history in modified gravity: from F(R) theory to Lorentz non-invariant models
• Modified Gravity and Cosmology
• Exponential potentials and cosmological scaling solutions
• Dynamical systems applied to cosmology: dark energy and modified gravity
• Einsteinian cubic gravity
• Four-dimensional black holes in Einsteinian cubic gravity
• Consistent Spin-Two Coupling and Quadratic Gravitation
• Generalized quasi-topological gravity
• Selected topics in scalar-tensor theories and beyond
• Non-Trivial Vacua in Higher-Derivative Gravitation
• Geometric Inflation
• Towards geometric inflation: the cubic case
• On four-dimensional Einsteinian gravity, quasitopological gravity, cosmology and black holes
• Introduction to the application of the dynamical systems theory in the study of the dynamics of cosmological models of dark energy
• A note on the dynamical features for the extended $f(P)$ cubic gravity
• Anisotropic instability in a higher order gravity theory
• Can noncommutative effects account for the present speed up of the cosmic expansion?
• Bulk Viscous Matter-dominated Universes: Asymptotic Properties
• Scalar field cosmology in phase space
• QCD ghost dark energy cannot (even roughly) explain the main features of the accepted cosmological paradigm
• Asymptotic Properties of a Supposedly Regular (Dirac-Born-Infeld) Modification of General Relativity

Cited by in corpus (15)

• Quasinormal modes and Hawking radiation of black holes in cubic gravity
• Big Bang Nucleosynthesis constraints on higher-order modified gravities
• Generalized quasi-topological gravities: the whole shebang
• Slowly rotating black holes in Einsteinian cubic gravity
• Electromagnetic Quasitopological Gravities
• On the classification of Generalized Quasitopological Gravities
• Aspects of Geometric Inflation
• Novel higher-curvature variations of $R^2$ inflation
• Precessing and periodic timelike orbits and their potential applications in Einsteinian cubic gravity
• Excluding static and spherically symmetric black holes in Einsteinian cubic gravity with unsuppressed higher-order curvature terms
• Tachyonic cosmology with cubic contractions of the Riemann tensor
• Dark effects in $f(R,P)$ gravity
• Inflationary predictions of Geometric Inflation
• On the quantum origin of inflation in the geometric inflation model
• Signatures of cubic gravity in the strong regime