Beyond-one-loop quantum gravity action yielding both inflation and late-time acceleration

Abstract

A unified description of early-time inflation with the current cosmic acceleration is achieved by means of a new theory that uses a quadratic model of gravity, with the inclusion of an exponential $F(R)$-gravity contribution for dark energy. High-curvature corrections of the theory come from higher-derivative quantum gravity and yield an effective action that goes beyond the one-loop approximation. It is shown that, in this theory, viable inflation emerges in a natural way, leading to a spectral index and tensor-to-scalar ratio that are in perfect agreement with the most reliable Planck results. At low energy, late-time accelerated expansion takes place. As exponential gravity, for dark energy, must be stabilized during the matter and radiation eras, we introduce a curing term in order to avoid nonphysical singularities in the effective equation of state parameter. The results of our analysis are confirmed by accurate numerical simulations, which show that our model does fit the most recent cosmological data for dark energy very precisely.

20 pages, to appear in NPB

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Cited by in corpus (14)

• Gravitational Effective Action at Second Order in Curvature and Gravitational Waves
• Swampland Conjecture and Inflation Model from Brane Perspective
• Cosmic evolution of the logarithmic f(R) model and the dS swampland conjecture
• Traversable wormhole in logarithmic $f(R)$ gravity by various shape and redshift functions
• Thermodynamics and decay of de Sitter vacuum
• On the Renormalization Group perspective of $\alpha$-attractors
• Stability investigations of isotropic and anisotropic exponential inflation in the Starobinsky-Bel-Robinson gravity
• Gravitational reheating in Starobinsky inflation
• Quantum gravitational corrections to the geometry of charged AdS black holes
• Modified Starobinsky inflation by the $R\ln \left(\square \right)R$ term
• Stability investigations of de Sitter inflationary solutions in power-law extensions of the Starobinsky model
• Gravity Rainbow Effects on Higher Curvature Modification of R2 inflation
• The Trans-Planckian Censorship Conjecture in different frameworks of viable inflation
• Parameterized Post-Newtonian Analysis of Quadratic Gravity and Solar System Constraints