Cosmology of non-local $f(R)$ gravity

Ivan Dimitrijevic, Branko Dragovich, Alexey S. Koshelev, Zoran Rakic, Jelena Stankovic


We consider a modification of GR with a special type of
a non-local $f(R)$. The structure of the non-local operators is motivated by
the string field theory and $p$-adic string theory. The spectrum is derived explicitly and the ghost-free condition for the model is formulated. We pay special attention
to the classical stability of the de Sitter solution in our model and formulate the
conditions on the model parameters to have a stable configuration.
Relevance of unstable configurations for the description of the
de Sitter phase during inflation is specifically discussed.


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