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New Exact Solutions of Quadratic Curvature Gravity

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arxiv 1204.2215 v3 pith:D7XB7RGH submitted 2012-04-10 hep-th gr-qc

New Exact Solutions of Quadratic Curvature Gravity

classification hep-th gr-qc
keywords curvatureexactquadraticbackgroundclassgravitykerr-schildmetrics
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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It is a known fact that the Kerr-Schild type solutions in general relativity satisfy both exact and linearized Einstein field equations. We show that this property remains valid also for a special class of the Kerr-Schild metrics in arbitrary dimensions in generic quadratic curvature theory. In addition to the AdS-wave (or Siklos) metric which represents plane waves in an AdS background, we present here a new exact solution, in this class, to the quadratic gravity in D-dimensions which represents a spherical wave in an AdS background. The solution is a special case of the Kundt metrics belonging to spacetimes with constant curvature invariants.

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  1. Revisiting Lifshitz-type solutions in $R^2$-corrected gravity

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    Exact Lifshitz-type black holes and branes, including rotating and extremal cases, are constructed in R²-corrected gravity at the critical point in arbitrary dimensions.