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Circumventing the Ricci-inverse no-go theorem with complexifiable singularities: a novel dark energy model
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Ricci-inverse gravity is a new type of fourth-order gravity theory based on the anti-curvature tensor, that is, the inverse of the Ricci tensor. In this context, we introduce a novel method to circumvent the binding effects of a well-known no-go theorem for cosmic trajectories that cannot smoothly join a decelerated cosmic age with the current accelerated expansion of the universe. We therefore design a new class of Ricci-inverse theories whose cosmologies, without falling into no-go singularities, achieve the observed expansion as a stable attractor solution. This new perspective retrains Ricci-inverse cosmologies as viable dark energy models.
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The Regular Ricci-Inverse Cosmology with Multiple Anticurvature Scalars
A combination of Ricci and inverse-Ricci scalars is constructed that gives regular FLRW background equations, reducing the linear model to general relativity with a shifted Hubble constant.
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