Non-trivial, static, geodesically complete, vacuum space-times with a negative cosmological constant

Abstract

We construct a large class of new singularity-free static Lorentzian four-dimensional solutions of the vacuum Einstein equations with a negative cosmological constant. The new families of metrics contain space-times with, or without, black hole regions. Two uniqueness results are also established.

28 pages, latex2e

References in corpus (9)

• The AdS/CFT Correspondence and a New Positive Energy Conjecture for General Relativity
• Monopoles, Dyons and Black Holes in the Four-Dimensional Einstein-Yang-Mills Theory
• Towards the classification of static vacuum spacetimes with negative cosmological constant
• Scalar Curvature Rigidity for asymptotically locally hyperbolic manifolds
• The classification of static vacuum space-times containing an asymptotically flat spacelike hypersurface with compact interior
• N-Black Hole Stationary and Axially Symmetric Solutions of the Einstein-Maxwell Equations
• A uniqueness theorem for the adS soliton
• New hairy black holes with negative cosmological constant
• On the linear stability of solitons and hairy black holes with a negative cosmological constant: the even-parity sector

Cited by in corpus (30)

• Enthalpy and the Mechanics of AdS Black Holes
• Black holes with only one Killing field
• Thermal Fluctuations in a Charged AdS Black Hole
• Gravity and large black holes in Randall-Sundrum II braneworlds
• Causal structures and causal boundaries
• On the uniqueness and global dynamics of AdS spacetimes
• Angular Momentum in QGP Holography
• On the Geometry and Mass of Static, Asymptotically AdS Spacetimes, and the Uniqueness of the AdS Soliton
• On the mass of static metrics with positive cosmological constant - I
• Inhomogeneous charged black hole solutions in asymptotically anti-de Sitter spacetime
• When Is Holography Consistent?
• Deforming black holes in AdS
• New family of C-metrics in $\mathcal{N}=2$ gauged supergravity
• Fragile Black Holes and an Angular Momentum Cutoff in Peripheral Heavy Ion Collisions
• Distortion of Schwarzschild-anti-de Sitter black holes to black strings
• Non-singular spacetimes with a negative cosmological constant: II. Static solutions of the Einstein-Maxwell equations
• Universality of the Holographic Angular Momentum Cutoff
• The rigid Horowitz-Myers conjecture
• Non-Existence of Black Holes in Certain $\Lambda <0$ Spacetimes
• Non-singular spacetimes with a negative cosmological constant: III. Stationary solutions with matter fields
• Non-singular spacetimes with a negative cosmological constant: IV. Stationary black hole solutions with matter fields
• Domain Structure of Black Hole Space-Times with a Cosmological Constant
• Classification of Einstein equations with cosmological constant in warped product space-time
• About curvature, conformal metrics and warped products
• Static black holes with a negative cosmological constant: Deformed horizon and anti-de Sitter boundaries
• A new energy upper bound for AdS black holes inspired by free field theory
• A Surprising Similarity Between Holographic CFTs and a Free Fermion in $(2+1)$ Dimensions
• Metrics of Horowitz-Myers type with the negative constant scalar curvature
• Positivity of holographic energy
• Quantum interferometry in external gravitational fields