Linearized Modes in Extended and Critical Gravities

Abstract

We construct explicit solutions for the linearized massive and massless spin-2, vector and scalar modes around the AdS spacetimes in diverse dimensions. These modes may arise in extended (super)gravities with higher curvature terms in general dimensions. Log modes in critical gravities can also be straightforwardly deduced. We analyze the properties of these modes and obtain the tachyon-free condition, which allows negative mass square for these modes. However, such modes may not satisfy the standard AdS boundary condition and can be truncated out from the spectrum.

24 pages, 2 figures

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• Black Holes in Six-dimensional Conformal Gravity
• Three-Dimensional Tricritical Gravity
• Criticality in Einstein-Gauss-Bonnet Gravity: Gravity without Graviton
• Universal Structure of Covariant Holographic Two-Point Functions In Massless Higher-Order Gravities
• Solutions of Free Higher Spins in AdS
• Fermi Surfaces and Analytic Green's Functions from Conformal Gravity
• On unitary subsectors of polycritical gravities
• Causality Constraint on Noncritical Einstein-Weyl Gravity