  In this work, I examine spherically symmetric solutions in geometric sigma
models with four scalar fields. This class of models turns out to be a subclass
of the wider class of scalar-vector-tensor theories of gravity. The purpose of
the present study is to examine how the additional four degrees of freedom
modify Newtonian gravitational acceleration. I have restricted my
considerations to pointlike sources in de Sitter background. The resulting
gravitational acceleration has the form of a power series, with four major
terms standing out. The first and the second are the familiar Newtonian and
MOND terms, which dominate at short distances. The third term is dominant at
large distances. It is the $\Lambda$CDM term responsible for the accelerated
expansion of the Universe. Finally, the fourth term provides an extra repulsive
acceleration that grows exponentially fast with distance. This term becomes
significant only at extremely large distances that go beyond the observable
Universe. As for the time dependence of the calculated gravitational
acceleration, it turns out to have nontrivial, oscillatory character.
