AdS-Wave Solutions of f(Riemann) Theories
Metin Gurses, Sigbj{\o}rn Hervik, Tahsin Cagri Sisman, Bayram Tekin
TL;DR
This paper demonstrates that certain wave solutions in quadratic curvature gravity also solve more general higher derivative theories, with field equations simplifying significantly for specific Kerr-Schild spacetimes.
Contribution
It extends known solutions to the most general higher derivative gravity theories and simplifies their field equations for specific spacetime types.
Findings
AdS-plane and AdS-spherical wave solutions also solve general higher derivative theories.
Field equations reduce to linear in Ricci tensor for Kerr-Schild spacetimes with type-N Weyl and traceless Ricci tensors.
Solutions applicable in D-dimensional quadratic curvature gravity.
Abstract
We show that the recently found 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 traceless Ricci tensors.
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