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Anti-de Sitter-Wave Solutions of Higher Derivative Theories

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2013-09-05
GÜRSES, METİN
Hervik, Sigbjorn
Sisman, Tahsin Cagri
Tekin, Bayram
We show that the recently found anti-de Sitter (AdS)-plane and AdS-spherical wave solutions of quadratic curvature gravity also solve the most general higher derivative theory in D dimensions. More generally, we show that the field equations of such theories reduce to an equation linear in the Ricci tensor for Kerr-Schild spacetimes having type-N Weyl and type-N traceless Ricci tensors.