NUTs and bolts beyond Lovelock

Abstract

We construct a plethora of new Euclidean AdS-Taub-NUT and bolt solutions of several four- and six-dimensional higher-curvature theories of gravity with various base spaces $\mathcal{B}$. In $D=4$, we consider Einsteinian cubic gravity, for which we construct solutions with $\mathcal{B}={\mathbb{S}}^2,{\mathbb{T}}^2$. These represent the first generalizations of the Einstein gravity Taub-NUT/bolt solutions for any higher-curvature theory in four dimensions. In $D=6$, we show that no new solutions are allowed for any Generalized quasi-topological gravity at cubic order. They exist however when we consider quartic Quasi-topological and Generalized quasi-topological terms, for which we construct new solutions with $\mathcal{B}={\mathbb{CP}}^2,{\mathbb{S}}^2\times {\mathbb{S}}^2,{\mathbb{S}}^2\times {\mathbb{T}}^2,{\mathbb{T}}^2\times {\mathbb{T}}^2$. In all cases, the solutions are characterized by a single metric function, and they reduce to the corresponding ones in Einstein gravity when the higher-curvature couplings are set to zero. While the explicit profiles must be constructed numerically (except for a few cases), we obtain fully analytic expressions for the thermodynamic properties of all solutions. The new solutions present important differences with respect to Einstein gravity, including regular bolts for arbitrary values of the NUT charge, critical points, and re-entrant phase transitions.

63 pages, 18 figures; v2: minor improvements to discussion, updated references

References in corpus (28)

• Holographic c-theorems in arbitrary dimensions
• Seeing a c-theorem with holography
• Multiple Reentrant Phase Transitions and Triple Points in Lovelock Thermodynamics
• Beyond eta/s = 1/4pi
• 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
• Einsteinian cubic gravity
• Entanglement Entropy, Trace Anomalies and Holography
• Static wormhole solution for higher-dimensional gravity in vacuum
• Isolated critical point from Lovelock gravity
• Exact solutions for the Einstein-Gauss-Bonnet theory in five dimensions: Black holes, wormholes and spacetime horns
• Four-dimensional black holes in Einsteinian cubic gravity
• Aspects of general higher-order gravities
• Classification of Six Derivative Lagrangians of Gravity and Static Spherically Symmetric Solutions
• Taub-NUT/Bolt Black Holes in Gauss-Bonnet-Maxwell Gravity
• Universality of squashed-sphere partition functions
• Taub-NUT Black Holes in Third order Lovelock Gravity
• Energy and Angular Momentum in Generic F(Riemann) Theories
• Bounce Universe and Black Holes from Critical Einsteinian Cubic Gravity
• Comments on Squashed-sphere Partition Functions
• The NUTs and Bolts of Squashed Holography
• Generalized Pure Lovelock Gravity
• The Extended Thermodynamic Properties of Taub-NUT/Bolt-AdS spaces
• The Disjointed Thermodynamics of Rotating Black Holes With a NUT Twist
• Thermodynamics of Taub-NUT Black Holes in Einstein-Maxwell Gravity
• Thermodynamics of Taub-NUT/Bolt-AdS Black Holes in Einstein-Gauss-Bonnet Gravity
• Regularization of Kerr-NUT spacetimes and their thermodynamical quantities

Cited by in corpus (34)

• On Taking the $D\to 4$ limit of Gauss-Bonnet Gravity: Theory and Solutions
• (Generalized) quasi-topological gravities at all orders
• Thermodynamics of Lorentzian Taub-NUT spacetimes
• All higher-curvature gravities as Generalized quasi-topological gravities
• Misner Gravitational Charges and Variable String Strengths
• The First Law for Rotating NUTs
• Universality of squashed-sphere partition functions
• Generalized quasi-topological gravities: the whole shebang
• On four-dimensional Einsteinian gravity, quasitopological gravity, cosmology and black holes
• Slowly rotating black holes in Einsteinian cubic gravity
• Electromagnetic Quasitopological Gravities
• On the strong coupling of Einsteinian Cubic Gravity and its generalisations
• On the classification of Generalized Quasitopological Gravities
• AdS-Taub-NUT spacetimes and exact black bounces with scalar hair
• Black hole chemistry and holography in generalized quasi-topological gravity
• Extremal Rotating Black Holes in Einsteinian Cubic Gravity
• Hairy Taub-NUT/Bolt-AdS solutions in Horndeski theory
• Partition functions on slightly squashed spheres and flux parameters
• Topological Born-Infeld charged black holes in Einsteinian cubic gravity
• Gravitational instantons with conformally coupled scalar fields
• Fully resonant scalars on asymptotically AdS wormholes
• The extremal Kerr entropy in higher-derivative gravities
• Holographic explorations of regular black holes in pure gravity
• Charged Taub-NUT solution in Lovelock gravity with generalized Wheeler polynomials
• Generalized Lense--Thirring metrics: higher-curvature corrections and solutions with matter
• Small free field inflation in higher curvature gravity
• Charged rotating black strings in Einsteinian cubic gravity
• Higher-curvature generalization of Eguchi-Hanson spaces
• Quasinormal modes of NUT-charged black branes in the AdS/CFT correspondence
• Inhomogeneous metrics on complex bundles in Lovelock gravity
• Partition functions on squashed seven-spheres and holography
• Pure Gauss-Bonnet NUT Black Hole Solution: II
• Black Hole Energy in Lovelock Unique Vacuum theories
• On a lower-dimensional Killing vector origin of irreducible Killing tensors