Cosmological inflation in $F(R,\mathcal{G})$ gravity

Abstract

Cosmological inflation is discussed in the framework of $F(R,\mathcal{G})$ gravity where $F$ is a generic function of the curvature scalar $R$ and the Gauss-Bonnet topological invariant $\mathcal{G}$. The main feature that emerges in this analysis is the fact that this kind of theory can exhaust all the curvature budget related to curvature invariants without considering derivatives of $R,$ $R_{\mu \nu }$, $R_{\sigma \mu \nu }^{\lambda }$ etc. in the action. Cosmological dynamics results driven by two effective masses (lenghts) related to the $R$ scalaron and the $\mathcal{G}$ scalaron working respectively at early and very early epochs of cosmic evolution. In this sense, a double inflationary scenario naturally emerges.

9 pages, 5 figures, to be published in Phys. Rev. D

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• Unification of a Bounce with a Viable Dark Energy Era in Gauss-Bonnet Gravity
• Primordial Gravitational Waves Predictions for GW170817-compatible Einstein-Gauss-Bonnet Theory
• De Sitter solutions in Einstein-Gauss-Bonnet gravity
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• Bouncing cosmology in modified gravity with higher-order Gauss-Bonnet curvature term
• Bottom-Up Reconstruction of Viable GW170817 Compatible Einstein-Gauss-Bonnet Theories
• Tracing the cosmic history by Gauss-Bonnet gravity
• Non-Local Curvature and Gauss-Bonnet Cosmologies by Noether Symmetries
• Cosmology of a generalised version of holographic dark energy in presence of bulk viscosity and its inflationary dynamics through slow roll parameters
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• Cosmological model with time varying deceleration parameter in $F(R,G)$ gravity
• Inflation with F(T) Teleparallel Gravity
• Stability of Hyperbolic and Matter-Dominated Bounce Cosmologies From F(R,G) Modified Gravity at Late Evolution Stages
• $k$-Inflation-corrected Einstein-Gauss-Bonnet Gravity with Massless Primordial Gravitons
• Geometric Perfect Fluids from Extended Gravity
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• Bouncing behavior in $f(R,L_m)$ gravity: Phantom crossing and energy conditions
• The Gauss-Bonnet topological scalar in the Geometric Trinity of Gravity
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• Energy Conditions in Gauss-Bonnet Gravity
• The birth of the universe in a new G-Theory approach
• K-essence in Horndeski models
• Gödel-type solutions within the $f(R,Q,P)$ gravity
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• Inflation with Gauss-Bonnet and Chern-Simons higher-curvature-corrections in the view of GW170817
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• Pseudo generalized Ricci-recurrent spacetimes with certain applications to modified gravity
• On 1 + 3 covariant perturbations of the quasi-Newtonian space-time in modified Gauss-Bonnet gravity
• Warm inflation in Horndeski gravity
• Generalized Horndeski-Like Einstein Gauss-Bonnet Inflation with Massless Primordial Gravitons
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• Impact of projective curvature tensor in $f\left(R,G\right)$, $f\left(R,T\right)$ and $f\left(R,L_m\right)$-gravity
• Inflationary $\alpha -$attractors and $F(R)$ gravity
• Causal cosmology with braneworld gravity including Gauss Bonnet coupling
• Some Classes of Gravitational Shock Waves from Higher Order Theories of Gravity
• Stable exponential cosmological solutions with three factor spaces of dimensions $m=3$, $k_1=k$ and $k_2=k$ in the Einstein-Gauss-Bonnet model with a $\Lambda$-term
• Conflict between some higher-order curvature invariant terms