Dilatonic AdS-Kerr Solution to AdS/CFT Correspondence

Abstract

We consider the $Ad{S}_5$ solution deformed by a non-constant dilaton interpolating between the standard AdS (UV region) and flat boundary background (IR region). We show that this dilatonic solution can be generalized to the case of a non-flat boundaries provided that the metric of the boundaries satisfies the vacuum Einstein field equations. As an example, we describe the case when the four-dimensional boundaries represent the Kerr space-time.

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 added

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Cited by in corpus (2)

• Quantum dilatonic gravity in d = 2,4 and 5 dimensions
• Regular Sources of the Kerr-Schild class for Rotating and Nonrotating Black Hole Solutions