Reconstruction Procedure for Nonlocal Gauss-Bonnet Models
Emilio Elizalde, Ekaterina O. Pozdeeva, Sergey Yu. Vernov
TL;DR
This paper develops a reconstruction method for nonlocal Gauss-Bonnet gravity models, identifying conditions for de Sitter solutions and providing explicit examples, advancing understanding of nonlocal modifications to gravity in cosmology.
Contribution
It introduces a local form of the dynamical equations for nonlocal Gauss-Bonnet models and derives conditions for de Sitter solutions, which is a novel approach.
Findings
Derived conditions for de Sitter solutions in nonlocal Gauss-Bonnet models
Explicitly obtained de Sitter solutions under certain parameters
Provided a reconstruction procedure for these models
Abstract
We investigate the cosmological dynamics of nonlocally corrected gravity involving a function of the inverse d'Alembertian acting on the Gauss-Bonnet term. Casting the dynamical equations in local form, we derive the reconstruction procedure. We find conditions on the model parameters that are sufficient for the existence of de Sitter solutions and obtain these solutions explicitly.
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