AdS Waves as Exact Solutions to Quadratic Gravity

Abstract

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.

11 pages, references added, version to appear in Phys. Rev. D

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Cited by in corpus (56)

• AdS and Lifshitz Black Holes in Conformal and Einstein-Weyl Gravities
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• Modes of Log Gravity
• Holographic applications of logarithmic conformal field theories
• All unitary cubic curvature gravities in D dimensions
• New Exact Solutions of Quadratic Curvature Gravity
• Ghosts of Critical Gravity
• Classical Double Copy: Kerr-Schild-Kundt metrics from Yang-Mills Theory
• Exact solutions to quadratic gravity
• Holographic two-point functions for 4d log-gravity
• AdS-plane wave and pp-wave solutions of generic gravity theories
• Generalized plane waves in Poincaré gauge theory of gravity
• $pp$-waves as exact solutions to ghost-free infinite derivative gravity
• Some exact solutions of all f(Ricci) theories in three dimensions
• AdS-Wave Solutions of f(Riemann) Theories
• Renormalized AdS action and Critical Gravity
• Type III and N solutions to quadratic gravity
• Impulsive waves in ghost free infinite derivative gravity in anti-de Sitter spacetime
• Particle Content of Quadratic and $f(R_{\mu \nu \sigma \rho })$ Theories in $(A)dS$
• On Black Hole Stability in Critical Gravities
• Counterterms, critical gravity and holography
• Kerr-Schild--Kundt Metrics are Universal
• Black hole solutions correspondence between conformal and massive theories of gravity
• Entanglement Entropy for Logarithmic Conformal Field Theory
• Deeper discussion of Schrödinger invariant and Logarithmic sectors of higher-curvature gravity
• Gravity Waves in Three Dimensions
• Nonsingular black holes in Palatini extensions of General Relativity
• Extended Kerr-Schild spacetimes: General properties and some explicit examples
• Self-dual Gravitational Instantons in Conformal Gravity: Conserved Charges and Thermodynamics
• Brane worlds in critical gravity
• Einstein-Maxwell fields as solutions of higher-order theories
• Linearized Modes in Extended and Critical Gravities
• Linearization Instability for Generic Gravity in AdS
• From Smooth Curves to Universal Metrics
• Wave Metrics in the Cotton and Conformal Killing Gravity Theories
• Holographic correlation functions in Critical Gravity
• Kerr-Schild-Kundt Metrics in Generic Gravity Theories with Modified Horndeski Couplings
• On the thermodynamic phase structure of conformal gravity
• Exact Solutions of General Relativity and Quadratic Gravity in Arbitrary Dimension
• Linearization Instability in Gravity Theories
• Gravitational wave solutions of quadratic curvature gravity using a null coframe formulation
• Critical gravity in the Chern-Simons modified gravity
• Bertotti-Robinson solutions in five--dimensional quadratic gravity
• Minimal Einstein-Aether Theory
• NAT Black Holes
• Kerr-Schild-Kundt Metrics in Generic Einstein-Maxwell Theories
• Supersymmetric Solutions in Four-Dimensional Off-Shell Curvature-Squared Supergravity
• Born-Infeld Gravity Revisited
• All non-expanding gravitational waves in $D$-dimensional (anti-)de Sitter space
• Dynamical Implementation of the Constraints in Conformal Gravity
• Revisiting Lifshitz-type solutions in $R^2$-corrected gravity
• Kerr-Schild perturbations in higher derivative gravity theories in $D$ dimensions
• Generalized Vaidya Spacetime in Cotton and Conformal Killing Theories
• The Exterior Calculus of Quadratic Gravity
• Tricritical gravity waves in the four-dimensional generalized massive gravity