Cosmological observations in non-local $F(R)$ cosmology
H. Farajollahi, F. Tayebi, F. Milani, M. Enayati

TL;DR
This paper explores non-local $F(R)$ gravity models that can produce bouncing cosmologies and dark energy behaviors without negative kinetic energy fields, and tests their compatibility with observational data.
Contribution
It introduces a local form of non-local $F(R)$ gravity and demonstrates its ability to replicate key cosmological phenomena while fitting observational constraints.
Findings
Model achieves non-singular bounce and quintom dark energy behavior.
Predicted distance modulus aligns with observational data during phantom crossing.
Model agrees with data in certain redshift intervals for drift velocity.
Abstract
In this article in a generalization of our previous work, we investigate the dynamics of the non-local gravity after casting it into local form. The non-singular bouncing behavior and quintom model of dark energy are achieved without involving negative kinetic energy fields. Two cosmological tests are performed to constrain the model parameters. In case of phantom crossing the distance modulus predicted by the model best-fits the observational data. In comparison with the CPL parametrization for drift velocity, the model in some redshift intervals is in good agreement with the data.
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