  An important tool in the study of conformal geometry, and the AdS/CFT
correspondence in physics, is the Fefferman-Graham expansion of conformally
compact Einstein metrics. We show that conformally compact metrics satisfying a
generalization of the Einstein equation, Poincare-Lovelock metrics, also have
Fefferman-Graham expansions. Moreover we show that conformal classes of metrics
that are near that of the round metric on the n-sphere have fillings into the
ball satisfying the Lovelock equation, extending the existence result of
Graham-Lee for Einstein metrics.
