  In the modern era of abundant X-ray detections and the increasing momentum of
gravitational waves astronomy, tests of General Relativity in strong field
regime become increasingly feasible and their importance for probing gravity
cannot be understated. To this end, we study the characteristics of slowly
rotating topological neutron stars in the tensor-multi-scalar theories of
gravity following the static study of this new type of compact objects by two
of the authors. We explore the moment of inertia and verify that universal
relations known from General Relativity hold for this new class of compact
objects. Furthermore, we study the properties of their innermost stable
circular orbits (ISCO) and the epicyclic frequencies due to the latter's hinted
link to observational quantities such as quasi-periodic X-ray spectrum
features.
