  We numerically determine the cosmological branch of the free function in a
nonlocal metric-based modification of gravity which provides a relativistic
generalization of Milgrom's Modified Newtonian Dynamics. We are able to
reproduce the $\Lambda$CDM expansion history over virtually all of cosmic
history, including the era of radiation domination during Big Bang
Nucleosynthesis, the era of matter domination during Recombination, and most of
the era of vacuum energy domination. The very late period of $0 \leq z <
0.0880$, during which the model deviates from the $\Lambda$CDM expansion
history, is interesting because it causes the current value of the Hubble
parameter to be about 4.5\% larger than it would be for the $\Lambda$CDM model.
This may resolve the tension between inferences of $H_0$ which are based on
data from large redshift and inferences based on Hubble plots.

General Relativity and Quantum Cosmology;Cosmology and Nongalactic Astrophysics;High Energy Physics - Theory