On the quantum origin of inflation in the geometric inflation model
arXiv:2007.06111 · doi:10.1103/PhysRevD.103.064043
Abstract
In this paper we investigate the cosmological dynamics of geometric inflation by means of the tools of the dynamical systems theory. We focus in the study of two explicit models where it is possible to sum the infinite series of higher curvature corrections that arises in the formalism. These would be very interesting possibilities since, if regard gravity as a quantum effective theory, a key feature is that higher powers of the curvature invariants are involved at higher loops. Hence, naively, consideration of the whole infinite tower of curvature invariants amounts to consideration of all of the higher order loops. The global dynamics of these toy models in the phase space is discussed and the quantum origin of primordial inflation is exposed.
arXiv comment12 pages, 2 figures (14 eps files). Comments acknowledged
References in corpus (26)
- Modified Gravity and Cosmology
- Exponential potentials and cosmological scaling solutions
- General relativity as an effective field theory: The leading quantum corrections
- Causality Constraints on Corrections to the Graviton Three-Point Coupling
- 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
- Cosmological Solutions of Higher-Curvature String Effective Theories with Dilatons
- 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 cubic gravity
- Anisotropic instability in a higher order gravity theory
- Aspects of Geometric Inflation
- 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
- Global asymptotic dynamics of Cosmological Einsteinian Cubic Gravity
- 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
- Cosmological Time Crystals From Einstein-Cubic Gravities