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Palatini $F(R,X)$: a new framework for inflationary attractors
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abstract
Palatini $F(R)$ gravity proved to be a powerful tool in order to realize asymptotically flat inflaton potentials. Unfortunately, it also inevitably implies higher-order inflaton kinetic terms in the Einstein frame that might jeopardize the evolution of the system out of the slow-roll regime. We prove that a $F(R+X)$ gravity, where $X$ is the inflaton kinetic term, solves the issue. Moreover, when $F$ is a quadratic function such a choice easily leads to a new class of inflationary attractors, fractional attractors, that generalizes the already well-known polynomial $\alpha$-attractors.
Forward citations
Cited by 3 Pith papers
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Inflation with nondynamic distortion to leading order in slow roll
Nondynamic distortion integrated out of a 13-parameter metric-affine action sources the entire inflaton kinetic term; monomial models depend only on exponent ratio while α-attractors recover modified Starobinsky observables.
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Inflation with the Gauss-Bonnet term in the Palatini formulation
In Palatini gravity the inflaton–Gauss–Bonnet coupling yields a negative Chern–Simons-like kinetic correction and similar GW modifications, with metric-like behaviour unless the kinetic term nearly flips sign.
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$\tilde\xi$-attractors in metric-affine gravity
A new class of metric-affine inflationary models, the ξ-tilde-attractors, reproduces Starobinsky inflation as a universal attractor in two strong-coupling limits.
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