Stability issues of nonlocal gravity during primordial inflation
Abstract
We study the cosmological evolution of some nonlocal gravity models, when the initial conditions are set during a phase of primordial inflation. We examine in particular three models, the so-called RT, RR and models, previously introduced by our group. We find that the RR and models have a stable evolution also during inflation. The RT model has an apparent instability, but we show that, because of the smallness of the scale associated to the nonlocal term compared to the inflationary scale, this instability is innocuous and also the RT model has a viable evolution even when its initial conditions are set during a phase of primordial inflation.
Cite
@article{arxiv.1610.05664,
title = {Stability issues of nonlocal gravity during primordial inflation},
author = {Enis Belgacem and Giulia Cusin and Stefano Foffa and Michele Maggiore and Michele Mancarella},
journal= {arXiv preprint arXiv:1610.05664},
year = {2018}
}
Comments
v3: important error corrected, which changes a conclusion (RT model viable also when initial conditions are set during inflation); v4: corrected an error in the v3 submission (abstract in the arxiv form had not been changed)