Causality Constraint on Noncritical Einstein-Weyl Gravity

Abstract

We explore, in the context of AdS/CFT correspondence, the causality constraints on the Noncritical Einstein-Weyl (NEW) gravity model in five dimensions. The scalar and shear channels are considered as small metric perturbations around an AdS black brane background. Our results show that causality analysis on the propagation of these two channels imposes a new bound on the coupling of the Weyl-squared terms in the NEW gravity. This new bound imposes more stringent restrictions than those of the tachyon-free condition, improving predictive power of the theory.

18 pages, 1 figures, Major revision was made, matches published version

References in corpus (18)

• Towards singularity and ghost free theories of gravity
• Viscosity Bound and Causality Violation
• Effect of curvature squared corrections in AdS on the viscosity of the dual gauge theory
• Critical Gravity in Four Dimensions
• Einstein Gravity from Conformal Gravity
• AdS and Lifshitz Black Holes in Conformal and Einstein-Weyl Gravities
• D-Dimensional Log Gravity
• Modes of Log Gravity
• On the Energy Issue for a Class of Modified Higher Order Gravity Black Hole Solutions
• Conformal Chern-Simons holography - lock, stock and barrel
• Ghosts of Critical Gravity
• A Complete Classification of Higher Derivative Gravity in 3D and Criticality in 4D
• Brief Note on AMD Conserved Quantities in Quadratic Curvature Theories
• Deeper discussion of Schrödinger invariant and Logarithmic sectors of higher-curvature gravity
• Linearized Modes in Extended and Critical Gravities
• Critical gravity as van Dam-Veltman-Zakharov discontinuity in anti de Sitter space
• Area law of the entropy in the critical gravity
• On Classical Equivalence Between Noncritical and Einstein Gravity : The AdS/CFT Perspectives