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We consider the $AdS_5$ solution deformed by a non-constant dilatoninterpolating between the standard AdS (UV region) and flat boundary background(IR region). We show that this dilatonic solution can be generalized to thecase of a non-flat boundaries provided that the metric of the boundariessatisfies the vacuum Einstein field equations. As an example, we describe thecase when the four-dimensional boundaries represent the Kerr space-time.Comment: Latex, 8 pages, v.2: a reference added; v.3: a reference added, and  two misprints are improved, v.4: final published version, minor corrections,  final part is extended and references adde

Dilatonic AdS-Kerr solution to the AdS/CFT correspondence