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AdS Waves as Exact Solutions to Quadratic Gravity

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arxiv 1102.1921 v3 pith:SUL4L52N submitted 2011-02-09 hep-th gr-qc

AdS Waves as Exact Solutions to Quadratic Gravity

classification hep-th gr-qc
keywords gravityquadraticequationsexactlinearizedmetricsolutionsolutions
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We give an exact solution of the quadratic gravity in D dimensions. The solution is a plane fronted wave metric with a cosmological constant. This metric solves not only the full quadratic gravity field equations but also the linearized ones which include the linearized equations of the recently found critical gravity. A subset of the solutions change the asymptotic structure of the anti-de Sitter space due to their logarithmic behavior.

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Cited by 1 Pith paper

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

    hep-th 2025-11 conditional novelty 5.0

    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.