AdS-Wave Solutions of f(Riemann) Theories
arXiv:1305.1565 · doi:10.1103/PhysRevLett.111.101101
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.
4 pages, solutions are extended for generic f(Riemann) theories that include arbitrary powers of the curvature
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- Kerr-Schild--Kundt Metrics are Universal
- Gravity Waves in Three Dimensions
- FLRW-Cosmology in Generic Gravity Theories
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- Minimal Einstein-Aether Theory
- NAT Black Holes
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- All non-expanding gravitational waves in -dimensional (anti-)de Sitter space
- Kerr-Schild perturbations in higher derivative gravity theories in dimensions
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