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Anti–de Sitter–Wave Solutions of Higher Derivative Theories

2013/09/05 by Metin Gürses, Sigbjørn Hervik, Tahsin Çağrı Şişman +1 · 3 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Noncommutative and Quantum Gravity Theories

paper · doi:10.1103/physrevlett.111.101101

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.

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