Cosmological Evolution and Exact Solutions in a Fourth-order Theory of Gravity

Abstract

A fourth-order theory of gravity is considered which in terms of dynamics has the same degrees of freedom and number of constraints as those of scalar-tensor theories. In addition it admits a canonical point-like Lagrangian description. We study the critical points of the theory and we show that it can describe the matter epoch of the universe and that two accelerated phases can be recovered one of which describes a de Sitter universe. Finally for some models exact solutions are presented.

12 pages, 2 figures, to appear in Phys. Rev. D

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• Teleparallel Gravity: From Theory to Cosmology
• Finite-time Cosmological Singularities and the Possible Fate of the Universe
• Non-metricity with bounday terms: $f(Q,C)$ gravity and cosmology
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• Emergent Dark Energy, neutrinos and cosmological tensions
• Exact Solutions in Chiral Cosmology
• Cartan symmetries and global dynamical systems analysis in a higher-order modified teleparallel theory
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• Scalar-Tensor Teleparallel Gravity With Boundary Term by Noether Symmetries
• Dynamics of Einstein-Aether Scalar field Cosmology
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• $f(T,B)$ gravity in a Friedmann-Lema\^ıtre-Robertson-Walker universe with nonzero spatial curvature
• Do current observations support transient acceleration of our universe?