Reconstruction procedure for nonlocal Gauss-Bonnet models

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...

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Bibliographic Details
Authors: Elizalde, Emilio, Pozdeeva, Ekaterina O., Vernov, Sergey Yu
Format: article
Status:Versión enviada para evaluación y publicación
Publication Date:2020
Country:España
Institution:Consejo Superior de Investigaciones Científicas (CSIC)
Repository:DIGITAL.CSIC. Repositorio Institucional del CSIC
OAI Identifier:oai:digital.csic.es:10261/236398
Online Access:http://hdl.handle.net/10261/236398
Access Level:Open access
Keyword:De Sitter solution
Nonlocal gravity
The Gauss-Bonnet term
Description
Summary: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.