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Geometric Inflation
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abstract
We argue that the presence of an inflationary epoch is a natural, almost unavoidable, consequence of the existence of a sensible effective action involving an infinite tower of higher-curvature corrections to the Einstein-Hilbert action. No additional fields besides the metric are required. We show that a family of such corrections giving rise to a well-posed cosmological evolution exists and automatically replaces the radiation-dominated early-universe Big Bang by a singularity-free period of exponential growth of the scale factor, which is gracefully connected with standard late-time $\Lambda$CDM cosmology. The class of higher-curvature theories giving rise to sensible cosmological evolution share additional remarkable properties such as the existence of Schwarzschild-like non-hairy black holes, or the fact that, just like for Einstein gravity, the only degrees of freedom propagated on the vacuum are those of the standard graviton.
Forward citations
Cited by 7 Pith papers
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Regular black holes from thin-shell collapse
In D≥5 pure gravity with an infinite tower of higher-curvature terms, spherical thin-shell collapse generically produces regular black holes that bounce into new universes.
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The generalized second law as a thermodynamic selection criterion for dynamical dark energy
The generalized second law imposes complementary bounds on the horizon entropy scaling k in phantom and quintessence regimes, selecting k=2 at a smooth phantom-divide crossing.
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Unstable de Sitter inflationary solution in sixth-order gravity
For the sixth-order gravity action (2.1), the exact FLRW de Sitter solution is unstable whenever 3γ1+γ2<0, while the second-order limit admits a stable de Sitter attractor.
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Spectral Bifurcations in Quasinormal Modes of Regular BTZ Black Holes
For regular BTZ black holes from an infinite Lovelock tower, scalar quasinormal modes bifurcate from complex BTZ branches into purely imaginary branches as the regularization length ℓ grows, producing mode switching a...
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Holographic explorations of regular black holes in pure gravity
Regular, asymptotically AdS black holes are shown to exist in pure quasi-topological gravity, and their thermodynamics, quasinormal modes, Wilson loops, and a Type IIB field redefinition map are worked out.
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Regular black holes from Oppenheimer-Snyder collapse
In quasi-topological gravities in D>=5 with infinite higher-curvature towers, Oppenheimer-Snyder dust collapse bounces at a finite minimum radius, yielding regular black holes and bouncing FLRW cosmologies.
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Signatures of cubic gravity in the strong regime
Einsteinian cubic gravity shrinks (grows) black hole horizons for positive (negative) coupling and shifts the photon sphere enough that SgrA* shadow observations can bound the coupling to approximately 0.1.
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