Towards geometric inflation: the cubic case

Abstract

We present an up to cubic curvature correction to General Relativity with the following features: (i) its vacuum spectrum solely consists of a graviton and is ghost-free, (ii) it possesses well-behaved black hole solutions which coincide with those of Einsteinian cubic gravity, (iii) its cosmology is well-posed as an initial value problem and, most importantly, (iv) it entails a geometric mechanism triggering an inflationary period in the early universe (driven by radiation) with a graceful exit to a late-time cosmology arbitrarily close to $\Lambda$CDM.

arXiv comment14 pages, 4 figures; v2: typos fixed; v3: slightly improved version

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• On the strong coupling of Einsteinian Cubic Gravity and its generalisations
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• No-go theorem for inflation in Ricci-inverse gravity
• Anisotropic instability in a higher order gravity theory
• Higher-curvature Gravities from Braneworlds and the Holographic c-theorem
• Charged black holes in Einsteinian cubic gravity and nonuniqueness
• Aspects of Geometric Inflation
• The distribution of galaxy rotation in JWST Advanced Deep Extragalactic Survey
• Novel higher-curvature variations of $R^2$ inflation
• Global asymptotic dynamics of Cosmological Einsteinian Cubic Gravity
• Dynamical aspects for scalar fields coupled to cubic contractions of the Riemann tensor
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• Inflation and the cosmological (not-so) constant in unimodular gravity
• Holographic superconductivity in Einsteinian Cubic Gravity
• Topological invariants and the definition of energy in quadratic gravity theory
• Dark effects in $f(R,P)$ gravity
• Holographic explorations of regular black holes in pure gravity
• Singularity resolution and inflation from an infinite tower of regularized curvature corrections
• Derive Lovelock Gravity from String Theory in Cosmological Background
• New evidence and analysis of cosmological-scale asymmetry in galaxy spin directions
• Electromagnetic Generalized Quasi-topological gravities in $(2+1)$ dimensions
• Inflationary predictions of Geometric Inflation
• Baryogenesis in $f(P)$ Gravity
• A unified geometric description of the Universe: from inflation to late-time acceleration without an inflaton nor a cosmological constant
• Using 3D and 2D analysis for analyzing large-scale asymmetry in galaxy spin directions
• Generalized Lense--Thirring metrics: higher-curvature corrections and solutions with matter
• On the quantum origin of inflation in the geometric inflation model
• Slowly rotating black holes in Quasi-topological gravity
• Small free field inflation in higher curvature gravity
• De Sitter geometric inflation from dynamical singularities
• Universal renormalization procedure for higher curvature gravities in D$\le$5
• Large-scale asymmetry in galaxy spin directions -- analysis of galaxies with spectra in DES, SDSS, and DESI Legacy Survey
• Galaxy spin direction asymmetry in JWST deep fields
• Are there Einsteinian gravities involving covariant derivatives of the Riemann tensor?
• Energy Conditions in $f(P)$ Gravity
• Cosmology with Higher-Derivative Gravities
• Cosmological Weyl-Einsteinian-Cubic Gravity as a Gauge Theory of Gravity
• Modified Friedmann equations and non-singular cosmologies in $d=4$ non-polynomial quasi-topological gravities
• Signatures of cubic gravity in the strong regime
• First-order phase transitions and cosmic evolution: thermodynamic approach to generalized holographic dark energy
• Quantum Einsteinian Cubic Cosmology
• Spectral Bifurcations in Quasinormal Modes of Regular BTZ Black Holes
• Effect of $R^2$ on the stability of de Sitter solution of the generalized Einsteinian cubic gravity