Nuttier (A)dS Black Holes in Higher Dimensions

Abstract

We construct new solutions of the vacuum Einstein field equations with cosmological constant. These solutions describe spacetimes with non-trivial topology that are asymptotically dS, AdS or flat. For a negative cosmological constant these solutions are NUT charged generalizations of the topological black hole solutions in higher dimensions. We also point out the existence of such NUT charged spacetimes in odd dimensions and we explicitly construct such spaces in 5 and 7 dimensions. The existence of such spacetimes with non-trivial topology is closely related to the existence of the cosmological constant. Finally, we discuss the global structure of such solutions and possible applications in string theory.

latex, 30 pages, added references

References in corpus (2)

• Thermodynamics of $(d+1)$-dimensional NUT-charged AdS Spacetimes
• Ricci-flat Metrics with U(1) Action and the Dirichlet Boundary-value Problem in Riemannian Quantum Gravity and Isoperimetric Inequalities

Cited by in corpus (44)

• Black holes, hidden symmetries, and complete integrability
• Algebraic classification of higher dimensional spacetimes based on null alignment
• Nut Charged Space-times and Closed Timelike Curves on the Boundary
• Shaping black holes with free fields
• NUT-Charged Black Holes in Gauss-Bonnet Gravity
• Taub-NUT/Bolt Black Holes in Gauss-Bonnet-Maxwell Gravity
• Black string solutions with negative cosmological constant
• Taub-NUT Black Holes in Third order Lovelock Gravity
• Breakdown of the Entropy/Area Relationship for NUT-charged Spacetimes
• On the Thermodynamics of NUT charged spaces
• Modular invariance on $S^1\times S^3$ and circle fibrations
• New Multiply Nutty Spacetimes
• Higher Dimensional Taub-NUTs and Taub-Bolts in Einstein-Maxwell Gravity
• Soliton Solutions to the Einstein Equations in Five Dimensions
• Eguchi-Hanson Solitons in Odd Dimensions
• New Taub-NUT-Reissner-Nordström spaces in higher dimensions
• Black strings with negative cosmological constant: inclusion of electric charge and rotation
• The Extended Thermodynamic Properties of Taub-NUT/Bolt-AdS spaces
• Nuttier Bubbles
• Nonholonomic Ricci Flows, Exact Solutions in Gravity, and Symmetric and Nonsymmetric Metrics
• Consistent mass formulas for the four-dimensional dyonic NUT-charged spacetimes
• Hairy Taub-NUT/Bolt-AdS solutions in Horndeski theory
• Thermodynamics of Taub-NUT Black Holes in Einstein-Maxwell Gravity
• From black strings to black holes: nuttier and squashed AdS${}_5$ solutions
• A Note on the Instability of Lorentzian Taub-NUT-Space
• Charging Kerr-Schild spacetimes in higher dimensions
• Consistent mass formulas for higher even-dimensional Taub-NUT spacetimes and their AdS counterparts
• Consistent mass formulas for higher even-dimensional Reissner-Nordström-NUT-AdS spacetimes
• Thermodynamics of Taub-NUT/Bolt-AdS Black Holes in Einstein-Gauss-Bonnet Gravity
• Extremal Charged Black Holes with a Twisted Extra Dimension
• Algebraically special perturbations of the Schwarzschild solution in higher dimensions
• On the near horizon rotating black hole geometries with NUT charges
• Cardy-Verlinde Formula in Taub-NUT/Bolt-(A)dS space
• Nonholonomic Ricci Flows and Running Cosmological Constant: I. 4D Taub-NUT Metrics
• On the Goldberg-Sachs theorem in higher dimensions in the non-twisting case
• Revisiting mass formulas of the four-dimensional Reissner-Nordström-NUT-AdS solutions in a different metric form
• NUT-like and near-horizon limits of Kerr-NUT-(A)dS spacetimes
• Higher dimensional Kaluza-Klein Monopoles
• Ultraspinning limits and rotating hyperboloid membranes
• On the uniqueness of the Myers-Perry spacetime as a type II(D) solution in six dimensions
• Deformed and twisted black holes with NUTs
• A Note on Particles and Scalar Fields in Higher Dimensional Nutty Spacetimes
• On type II(D) Einstein spacetimes in six dimensions
• Higher-dimensional black holes with multiple equal rotations