Dynamical aspects for scalar fields coupled to cubic contractions of the Riemann tensor

Abstract

The paper studies a new type of dark energy, a scalar field with positive or negative kinetic energy, generically coupled to a term which is composed by specific contractions of the Riemann tensor. After presenting the resulting field equations, we have analyzed the physical characteristics of the corresponding model by implementing the linear stability theory. In the case of an exponential coupling function and exponential potential energy we have deduced the phase space characteristics, analyzing the critical points obtained which can represent specific eras in the evolution of the Universe. The analytical study is showing that this model can represent a feasible cosmological setup, having various epochs which correspond to stiff-fluid, matter domination, and dark energy eras, pointing towards the emergence of the accelerated expansion as a geometrical effect.

References in corpus (14)

• Dynamics of dark energy
• Beyond the Cosmological Standard Model
• Aspects of the cosmological "coincidence problem"
• Einsteinian cubic gravity
• Linking Tests of Gravity On All Scales: from the Strong-Field Regime to Cosmology
• Observables and unobservables in dark energy cosmologies
• Four-dimensional black holes in Einsteinian cubic gravity
• The phenomenological approach to modeling the dark energy
• Cosmology in cubic and $f(P)$ gravity
• Cosmic coincidence problem and variable constants of physics
• Is the Cosmological Coincidence a Problem?
• Bounce Universe and Black Holes from Critical Einsteinian Cubic Gravity
• Extremal Rotating Black Holes in Einsteinian Cubic Gravity
• Dark Energy: back to Newton?

Cited by in corpus (6)

• Generalized quasi-topological gravities: the whole shebang
• Slowly rotating black holes in Einsteinian cubic gravity
• On the classification of Generalized Quasitopological Gravities
• Novel higher-curvature variations of $R^2$ inflation
• Tachyonic cosmology with cubic contractions of the Riemann tensor
• Dark effects in $f(R,P)$ gravity