Criticality in Einstein-Gauss-Bonnet Gravity: Gravity without Graviton
arXiv:1606.02728 · doi:10.1140/epjc/s10052-016-4389-x
Abstract
General Einstein-Gauss-Bonnet gravity with a cosmological constant allows two (A)dS spacetimes as its vacuum solutions. We find a critical point in the parameter space where the two (A)dS spacetimes coalesce into one and the linearized perturbations lack any bilinear kinetic terms. The vacuum perturbations hence loose their interpretation as linear graviton modes at the critical point. Nevertheless, the critical theory admits black hole solutions due to the nonlinear effect. We also consider Einstein gravity extended with general quadratic curvature invariants and obtain critical points where the theory has no bilinear kinetic terms for either the scalar trace mode or the transverse modes. Such critical phenomena are expected to occur frequently in general higher derivative gravities.
21 pages, no figures;refereces added
References in corpus (15)
- Massive Gravity in Three Dimensions
- Black Hole Enthalpy and an Entropy Inequality for the Thermodynamic Volume
- Conformal collider physics: Energy and charge correlations
- More on Massive 3D Gravity
- Black Holes in Higher-Derivative Gravity
- Critical Gravity in Four Dimensions
- AdS and Lifshitz Black Holes in Conformal and Einstein-Weyl Gravities
- Critical Points of D-Dimensional Extended Gravities
- Black Hole Entropy and Viscosity Bound in Horndeski Gravity
- Thermodynamical First Laws of Black Holes in Quadratically-Extended Gravities
- Kerr-Schild ansatz in Einstein-Gauss-Bonnet gravity: An exact vacuum solution in five dimensions
- Thermodynamics of Charged Black Holes in Einstein-Horndeski-Maxwell Theory
- Holographic two-point functions for 4d log-gravity
- Higher-Derivative Gravity with Non-minimally Coupled Maxwell Field
- AdS and Lifshitz Scalar Hairy Black Holes in Gauss-Bonnet Gravity
Cited by in corpus (24)
- The 4D Einstein-Gauss-Bonnet Theory of Gravity: A Review
- Aspects of general higher-order gravities
- Quintic quasi-topological gravity
- Static Equilibria of Charged Particles Around Charged Black Holes: Chaos Bound and Its Violations
- Vacua and Exact Solutions in Lower- Limits of EGB
- On Butterfly effect in Higher Derivative Gravities
- DC Conductivities with Momentum Dissipation in Horndeski Theories
- Bounce Universe and Black Holes from Critical Einsteinian Cubic Gravity
- Universal Structure of Covariant Holographic Two-Point Functions In Massless Higher-Order Gravities
- Mass in Lovelock Unique Vacuum gravity theories
- An a-theorem for Horndeski Gravity at the Critical Point
- Higher-derivative holography with a chemical potential
- Holographic Studies of The Generic Massless Cubic Gravities
- Horndeski Gravity and the Violation of Reverse Isoperimetric Inequality
- Vacuum Degeneracy and Conformal Mass in Lovelock AdS Gravity
- Criticality in Third Order Lovelock Gravity and the Butterfly effect
- Rotating Solutions in Critical Lovelock Gravities
- Holographic renormalization of Horndeski gravity
- AdS and Lifshitz Scalar Hairy Black Holes in Gauss-Bonnet Gravity
- Inhomogeneous metrics on complex bundles in Lovelock gravity
- New Topological Gauss-Bonnet Black Holes in Five Dimensions
- Higher-Curvature Gravity, Black Holes and Holography
- Scalar-hairy Lovelock gravity respects zeroth law
- Black Hole Energy in Lovelock Unique Vacuum theories