AdS and Lifshitz Black Holes in Conformal and Einstein-Weyl Gravities

Abstract

We study black hole solutions in extended gravities with higher-order curvature terms, including conformal and Einstein-Weyl gravities. In addition to the usual AdS vacuum, the theories admit Lifshitz and Schrödinger vacua. The AdS black hole in conformal gravity contains an additional parameter over and above the mass, which may be interpreted as a massive spin-2 hair. By considering the first law of thermodynamics, we find that it is necessary to introduce an associated additional intensive/extensive pair of thermodynamic quantities. We also obtain new Liftshitz black holes in conformal gravity and study their thermodynamics. We use a numerical approach to demonstrate that AdS black holes beyond the Schwarzschild-AdS solution exist in Einstein-Weyl gravity. We also demonstrate the existence of asymptotically Lifshitz black holes in Einstein-Weyl gravity. The Lifshitz black holes arise at the boundary of the parameter ranges for the AdS black holes. Outside the range, the solutions develop naked singularities. The asymptotically AdS and Lifshitz black holes provide an interesting phase transition, in the corresponding boundary field theory, from a relativistic Lorentzian system to a non-relativistic Lifshitz system.

typos corrected, references added

References in corpus (27)

• Massive Gravity in Three Dimensions
• Toward an AdS/cold atoms correspondence: a geometric realization of the Schroedinger symmetry
• Gravity duals for non-relativistic CFTs
• Black Hole Enthalpy and an Entropy Inequality for the Thermodynamic Volume
• Non-relativistic holography
• Critical Gravity in Four Dimensions
• Black holes in asymptotically Lifshitz spacetime
• Einstein Gravity from Conformal Gravity
• Electron stars for holographic metallic criticality
• Lifshitz Solutions of D=10 and D=11 supergravity
• Critical Points of D-Dimensional Extended Gravities
• Wrapped M5-branes, consistent truncations and AdS/CMT
• Constructing Lifshitz solutions from AdS
• Lifshitz solutions in supergravity and string theory
• Thermodynamical Metrics and Black Hole Phase Transitions
• AdS Waves as Exact Solutions to Quadratic Gravity
• D-Dimensional Log Gravity
• Modes of Log Gravity
• On the Energy Issue for a Class of Modified Higher Order Gravity Black Hole Solutions
• Special limits and non-relativistic solutions
• Ghosts of Critical Gravity
• More on Massive 3D Supergravity
• On Maximal Massive 3D Supergravity
• Brief Note on AMD Conserved Quantities in Quadratic Curvature Theories
• Polycritical Gravities
• On Hybrid (Topologically) Massive Supergravity in Three Dimensions
• Critical gravity as van Dam-Veltman-Zakharov discontinuity in anti de Sitter space

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