  The spacetime around compact objects is an excellent place to study gravity
in the strong, nonlinear, dynamical regime where solar system tests cannot
account for the effects of large curvature. Understanding the dynamics of this
spacetime is important for testing theories of gravity and probing a regime
which has not yet been studied with observations. In this paper, we construct
an analytical solution for the exterior spacetime of a neutron star in
scalar-Gauss-Bonnet gravity that is independent of the equation of state
chosen. The aim is to provide a metric that can be used to probe the
strong-field regime near a neutron star and create predictions that can be
compared with future observations to place possible constraints on the theory.
In addition to constructing the metric, we examine a number of physical systems
in order to see what deviations exist between our spacetime and that of general
relativity. We find these deviations to be small and of higher post-Newtonian
order than previous results using black hole solutions. The metric derived here
can be used to further the study of scalar-Gauss-Bonnet gravity in the strong
field, and allow for constraints on corrections to general relativity with
future observations.
