  The Eguchi-Hanson-AdS$_5$ family of spacetimes are a class of static,
geodesically complete asymptotically locally AdS$_5$ soliton solutions of the
vacuum Einstein equations with negative cosmological constant. They have
negative mass and are parameterized by an integer $p\geq 3$ with a conformal
boundary with spatial topology $L(p,1)$. We investigate mode solutions of the
scalar wave equation on this background and show that, similar to AdS$_5$, the
geometry admits a normal mode spectrum (i.e. solutions that neither grow or
decay in time). In addition, we also discuss other geometric properties of
these soliton spacetimes, including the behaviour of causal geodesics and their
thermodynamic properties. We also point out a surprising connection with the
AdS soliton.
