A Lovelock black hole bestiary

Abstract

We revisit the study of (A)dS black holes in Lovelock theories. We present a new tool that allows to attack this problem in full generality. In analyzing maximally symmetric Lovelock black holes with non-planar horizon topologies many distinctive and interesting features are observed. Among them, the existence of maximally symmetric vacua do not supporting black holes in vast regions of the space of gravitational couplings, multi-horizon black holes, and branches of solutions that suggest the existence of a rich diagram of phase transitions. The appearance of naked singularities seems unavoidable in some cases, raising the question about the fate of the cosmic censorship conjecture in these theories. There is a preferred branch of solutions for planar black holes, as well as non-planar black holes with high enough mass or temperature. Our study clarifies the role of all branches of solutions, including asymptotically dS black holes, and whether they should be considered when studying these theories in the context of AdS/CFT.

40 pages, 16 figures; v2: references added and minor amendments; v3: title changed to improve its accuracy and general reorganization of the results to ameliorate their presentation

References in corpus (13)

• A Note on Thermodynamics of Black Holes in Lovelock Gravity
• Smarr Formula and an Extended First Law for Lovelock Gravity
• Higher Derivative Gravity, Causality and Positivity of Energy in a UV complete QFT
• A new cubic theory of gravity in five dimensions: Black hole, Birkhoff's theorem and C-function
• Classification of Six Derivative Lagrangians of Gravity and Static Spherically Symmetric Solutions
• Catastrophic Instability of Small Lovelock Black Holes
• Master Equations for Gravitational Perturbations of Static Lovelock Black Holes in Higher Dimensions
• Mass and Free Energy of Lovelock Black Holes
• Gravitational instability of static spherically symmetric Einstein-Gauss-Bonnet black holes in five and six dimensions
• Stability of Lovelock Black Holes under Tensor Perturbations
• Energy Flux Positivity and Unitarity in CFTs
• New type of phase transition in gravitational theories
• Shock waves and Birkhoff's theorem in Lovelock gravity

Cited by in corpus (60)

• Multiple Reentrant Phase Transitions and Triple Points in Lovelock Thermodynamics
• Aspects of general higher-order gravities
• (Generalized) quasi-topological gravities at all orders
• Clouds of strings in third-order Lovelock gravity
• Second-order transport, quasinormal modes and zero-viscosity limit in the Gauss-Bonnet holographic fluid
• Quintic quasi-topological gravity
• Holographic studies of Einsteinian cubic gravity
• Geometric Inflation
• On the static Lovelock black holes
• Lovelock theory and the AdS/CFT correspondence
• Slowly rotating black holes in Einsteinian cubic gravity
• Higher Order Corrections to Holographic Black Hole Chemistry
• Electromagnetic Quasitopological Gravities
• f(Lovelock) theories of gravity
• Conditions on holographic entangling surfaces in higher curvature gravity
• Planar AdS black holes in Lovelock gravity with a nonminimal scalar field
• Generalized phase transitions in Lovelock gravity
• Extremal Rotating Black Holes in Einsteinian Cubic Gravity
• Multicritical Phase Transitions in Lovelock AdS Black Holes
• Quartic Quasi-topological Gravity, Black Holes and Holography
• Cosmological dynamics of spatially flat Einstein-Gauss-Bonnet models in various dimensions: Low-dimensional $\Lambda$-term case
• Static pure Lovelock black hole solutions with horizon topology ${\mathbf{S}}^{(\mathbf{n})}\times {\mathbf{S}}^{(\mathbf{n})}$
• Partition functions on slightly squashed spheres and flux parameters
• Holographic renormalization and anisotropic black branes in higher curvature gravity
• Thermodynamics of Exotic Black Holes in Lovelock Gravity
• Cosmological dynamics of spatially flat Einstein-Gauss-Bonnet models in various dimensions: High-dimensional $\Lambda$-term case
• Higher-derivative holography with a chemical potential
• Regular black holes with $\Lambda >0$ and its evolution in Lovelock gravity
• Effects of spatial curvature and anisotropy on the asymptotic regimes in Einstein-Gauss-Bonnet gravity
• Probing strongly coupled anisotropic plasmas from higher curvature gravity
• Thermodynamic extended phase space and $P-V$ criticality of black holes at Pure Lovelock gravity
• Towards the emergence of non-zero thermodynamical quantities for Lanczos-Lovelock black holes dressed with a scalar field
• Vacuum Degeneracy and Conformal Mass in Lovelock AdS Gravity
• Holographic superconductivity in Einsteinian Cubic Gravity
• Holography in Lovelock Chern-Simons AdS Gravity
• Gravitational Decoupling algorithm modifies the value of the conserved charges and thermodynamics properties in Lovelock Unique Vacuum theory
• Cosmological solutions in Einstein-Gauss-Bonnet gravity with static curved extra dimensions
• Holographic explorations of regular black holes in pure gravity
• A black hole with torsion in 5D Lovelock gravity
• The Chern-Simons diffusion rate from higher curvature gravity
• Thermodynamically Stable Phases of Asymptotically Flat Lovelock Black Holes
• Slowly rotating black holes in Quasi-topological gravity
• Small free field inflation in higher curvature gravity
• Critical Higher Order Gravities in Higher Dimensions
• On the universality of thermodynamics and $\eta /s$ ratio for the charged Lovelock black branes
• Cosmic censorship in Lovelock theory
• Dynamics of the cosmological models with perfect fluid in Einstein-Gauss-Bonnet gravity: low-dimensional case
• Realistic compactification in spatially flat vacuum cosmological models in cubic Lovelock gravity: High-dimensional case
• Inhomogeneous metrics on complex bundles in Lovelock gravity
• Gravitational AdS to dS phase transition in Einstein-Maxwell-Gauss-Bonnet gravity
• Vacuum thin shells in Einstein-Gauss-Bonnet brane-world cosmology
• Effectively four-dimensional spacetimes emerging from d=5 Einstein-Gauss-Bonnet Gravity
• Realistic compactification in spatially flat vacuum cosmological models in cubic Lovelock gravity: Low-dimensional case
• Free energy of a Lovelock holographic superconductor
• The Entropy of Nonrotating Isolated Horizons in Lovelock Theory from Loop Quantum Gravity
• Black hole hair in Lovelock gravity
• Constructing Regular Lovelock Black Holes with degenerate vacuum and $\Lambda <0$, using the gravitational tension. Shadow analysis
• Phase transitions in general gravity theories
• Cosmological Models in Lovelock Gravity: An Overview of Recent Progress
• On the Properties of the Power-Law Cosmological Solutions in Lovelock Gravity