title: Anti-de Sitter-wave solutions of higher derivative theories.
abstract: 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.
authors.affiliation: Department of Mathematics, Faculty of Sciences Bilkent University, 06800 Ankara, Turkey.
authors.forename: Metin
authors.initials: M
authors.lastname: Gürses
authors.affiliation: Department of Mathematics and Natural Sciences, University of Stavanger, N-4036 Stavanger, Norway.
authors.forename: Sigbjørn
authors.initials: S
authors.lastname: Hervik
authors.affiliation: Department of Physics, Middle East Technical University, 06800 Ankara, Turkey.
authors.forename: Tahsin Çağrı
authors.initials: TÇ
authors.lastname: Şişman
authors.affiliation: Department of Physics, Middle East Technical University, 06800 Ankara, Turkey.
authors.forename: Bayram
authors.initials: B
authors.lastname: Tekin