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Stationary black holes: uniqueness and beyond (Q2353443)

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Language	Label	Description	Also known as
English	Stationary black holes: uniqueness and beyond	scientific article

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scholarly article

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Stationary black holes: uniqueness and beyond (English)

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Piotr T. Chrusciel

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Living Reviews in Relativity

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publication date

14 July 2015

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full work available at URL

https://arxiv.org/abs/1205.6112

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zbMATH Keywords

self-gravitating classical fields

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black holes

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uniqueness theorems

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MaRDI profile type

MaRDI publication profile

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Hawking's local rigidity theorem without analyticity

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Uniqueness of smooth stationary black holes in vacuum: Small perturbations of the Kerr spaces

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On stationary vacuum solutions to the Einstein equations

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On the structure of solutions to the static vacuum Einstein equations

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The area of horizons and the trapped region

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A universal constraint between charge and rotation rate for degenerate black holes surrounded by matter

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The four laws of black hole mechanics

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Existence of maximal surfaces in asymptotically flat spacetimes

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Boundary value problems for Dirac-type equations

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Static spherically symmetric solutions of the SO(5) Einstein Yang–Mills equations

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On the existence of soliton and hairy black hole solutions of {\mathfrak {su}}(N) Einstein–Yang–Mills theory with a negative cosmological constant

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Killing vectors in asymptotically flat space–times. I. Asymptotically translational Killing vectors and the rigid positive energy theorem

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The isometry groups of asymptotically flat, asymptotically empty space-times with timelike ADM four-momentum

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The asymptotics of stationary electro-vacuum metrics in odd spacetime dimensions

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Gravitating opposites attract

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On static <i>n</i> -body configurations in relativity

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Colored black holes

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Gravitating monopole solutions. II

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Static spherically symmetric solutions of the Einstein-Yang-Mills equations

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4-dimensional black holes from Kaluza-Klein theories

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A generalized Birkhoff theorem for the Einstein–Yang–Mills system

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Instability proof for Einstein–Yang–Mills solitons and black holes with arbitrary gauge groups

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Nonexistence of multiple black holes in asymptotically Euclidean static vacuum space-time

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Killing Horizons and Orthogonally Transitive Groups in Space-Time

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The commutation property of a stationary, axisymmetric system

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Astrophysical evidence for the existence of black holes

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The Highly Collapsed Configurations of a Stellar Mass

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The Maximum Mass of Ideal White Dwarfs

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On completeness of orbits of Killing vector fields

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On rigidity of analytic black holes

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The classification of static vacuum spacetimes containing an asymptotically flat spacelike hypersurface with compact interior

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Towards a classification of static electrovacuum spacetimes containing an asymptotically flat spacelike hypersurface with compact interior

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Mass and angular-momentum inequalities for axi-symmetric initial data sets I: Positivity of mass

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On higher dimensional black holes with Abelian isometry group

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Maximal analytic extensions of the Emparan-Reall black ring

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On the global structure of the Pomeransky-Senkov black holes

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Regularity of horizons and the area theorem

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Existence of singularities in two-Kerr black holes

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On smoothness of black saturns

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Uniqueness of static black holes without analyticity

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Topological censorship for Kaluza-Klein space-times

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Mass and angular-momentum inequalities for axi-symmetric initial data sets. II: Angular momentum

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Killing vectors in asymptotically flat space-times. II. Asymptotically translational Killing vectors and the rigid positive energy theorem in higher dimensions

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All electrovacuum Majumdar-Papapetrou spacetimes with non-singular black holes

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A uniqueness theorem for degenerate Kerr-Newman black holes

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On Israel–Wilson–Perjés black holes

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On non-existence of static vacuum black holes with degenerate components of the event horizon

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Stable causality of the Pomeransky-Senkov black holes

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The classification of static electro-vacuum space-times containing an asymptotically flat spacelike hypersurface with compact interior

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Maximal hypersurfaces in stationary asymptotically flat spacetimes

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On the topology of stationary black holes

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An instability of higher-dimensional rotating black holes

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Black holes with only one Killing field

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The Plateau problem for marginally outer trapped surfaces

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New horizons for black holes and branes

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Black holes in higher dimensions

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There are no magnetically charged particle-like solutions of the Einstein Yang-Mills equations for models with an Abelian residual group

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Topological censorship

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On the rigidity theorem for spacetimes with a stationary event horizon or a compact Cauchy horizon

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On the topology of black holes

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On the topology of the domain of outer communication

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A `finite infinity' version of topological censorship

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A generalization of Hawking's black hole topology theorem to higher dimensions

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The cosmic censor forbids naked topology

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Integrable Systems in Stringy Gravity

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Interpolating black holes in dilaton - axion gravity

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A Method for Generating Solutions of Einstein's Equations

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A Method for Generating New Solutions of Einstein's Equation. II

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On non-uniform black branes

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Three remarks on axisymmetric stationary horizons

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Group actions on principal bundles and invariance conditions for gauge fields

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Particle creation by black holes

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The Large Scale Structure of Space-Time

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A universal inequality between the angular momentum and horizon area for axisymmetric and stationary black holes with surrounding matter

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A universal inequality for axisymmetric and stationary black holes with surrounding matter in the Einstein-Maxwell theory

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Non-existence of stationary two-black-hole configurations: the degenerate case

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On the interaction between two Kerr black holes

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Staticity and uniqueness of multiple black hole solutions of sigma -models

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The uniqueness theorem for rotating black hole solutions of self-gravitating harmonic mappings

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Black Hole Uniqueness Theorems

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On the uniqueness of the Papapetrou - Majumdar metric

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Further restrictions on the topology of stationary black holes in five dimensions

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On the `Stationary implies axisymmetric' theorem for extremal black holes in higher dimensions

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All vacuum near horizon geometries in \(D\)-dimensions with \((D-3)\) commuting rotational symmetries

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A higher dimensional stationary rotating black hole must be axisymmetric

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Stability of black holes and black branes

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Uniqueness theorem for 5-dimensional black holes with two axial Killing fields

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A uniqueness theorem for five-dimensional Einstein–Maxwell black holes

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A uniqueness theorem for stationary Kaluza-Klein black holes

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Chapter 3. Topology and Uniqueness of Higher Dimensional Black Holes

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On the uniqueness of smooth, stationary black holes in vacuum

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Uniqueness results for ill-posed characteristic problems in curved space-times

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Topology of event horizons and topological censorship

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Symmetry of Einstein-Yang-Mills systems and dimensional reduction

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Riemannian geometry and geometric analysis.

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Theorems on the uniqueness and thermal properties of stationary, nonsingular, quasifree states on spacetimes with a bifurcate Killing horizon

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Static Axially Symmetric Solutions of Einstein–Yang-Mills-Dilaton Theory

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Static Black-Hole Solutions with Axial Symmetry

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Properties of Kaluza-Klein Black Holes

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A classification of near-horizon geometries of extremal vacuum black holes

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Static near-horizon geometries in five dimensions

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Near-horizon symmetries of extremal black holes

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SU(n)-Einstein-Yang-Mills fields with spherical symmetry

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Analysis of the static spherically symmetric SU\((n)\)-Einstein-Yang-Mills equations

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Spherically symmetric static SU(2) Einstein–Yang–Mills fields

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Spherical symmetry of generalized EYMH fields

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Rotating Kaluza-Klein black holes

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Regular and black hole solutions of Einstein-Yang-Mills dilaton theory

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A classical instability of Reissner-Nordström solutions and the fate of magnetically charged black holes

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Extremal isolated horizons: a local uniqueness theorem

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Regularity of harmonic maps with prescribed singularities

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On the classification of stationary electro-vacuum black holes

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Extended multi-soliton solutions of the Einstein field equations: II. Two comments on the existence of equilibrium states

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A spacetime characterization of the Kerr metric

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On uniqueness of static Einstein-Maxwell-dilaton black holes

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Uniqueness proof of static charged black holes revisited

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Uniqueness of a static charged dilaton black hole

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Existence theorems for hairy black holes in su(N) Einstein–Yang–Mills theories

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Proof of uniqueness of the Kerr-Newman black hole solution

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Black hole uniqueness from a hidden symmetry of Einstein's gravity

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Symmetries of cosmological Cauchy horizons

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Symmetries of higher dimensional black holes

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Monopole black hole skyrmions

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Black holes in higher dimensional space-times

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Stationary two-black-hole configurations: A non-existence proof

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Progress in relativistic gravitational theory using the inverse scattering method

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Empty-Space Generalization of the Schwarzschild Metric

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On local and global existence of Killing vector-fields

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An existence proof for the gravitating BPS monopole

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On all possible static spherically symmetric EYM solitons and black holes

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On Continued Gravitational Contraction

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On Massive Neutron Cores

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Seifert manifolds

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Actions of the Torus on 4-Manifolds. I

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Actions of the torus on 4-manifolds. II

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Eine rotationssymmetrische Lösung in der allgemeinen Relativitätstheorie

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On Witten's proof of the positive energy theorem

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Global extensions of spacetimes describing asymptotic final states of black holes

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The rotating dyonic black holes of Kaluza-Klein theory

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Classification of the Actions of the Circle on 3-Manifolds

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Are all static black hole solutions spherically symmetric?

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A simple proof of the generalization of Israel's theorem

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A new uniqueness theorem for charged black holes

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Testing the black hole no-hair theorem at the galactic center: perturbing effects of stars in the surrounding cluster

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On the linear stability of solitons and hairy black holes with a negative cosmological constant: the odd-parity sector

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Compact group actions and the topology of manifolds with non-positive curvature

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On the proof of the positive mass conjecture in general relativity

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Proof of the positive mass theorem. II

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Characterizations of the Kerr metric

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Radiative Einstein-Maxwell spacetimes and 'no-hair' theorems

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Existence of infinitely-many smooth, static, global solutions of the Einstein/Yang-Mills equations

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Existence of black hole solutions for the Einstein-Yang/Mills equations

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Smooth static solutions of the Einstein/Yang-Mills equations

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Commutation properties of cyclic and null Killing symmetries

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Stable causality of Black Saturns

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Equilibrium configuration of black holes and the inverse scattering method

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The interaction force between rotating black holes at equilibrium

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Generalization of the ``Schwarzschild Surface'' to Arbitrary Static and Stationary Metrics

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Slowly Rotating Non-Abelian Black Holes

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General Relativity

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On the instability of the <i>n</i>=1 Einstein–Yang–Mills black holes and mathematically related systems

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On rotating black holes in equilibrium in general relativity

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On the Force Between Rotating Coaxial Black Holes

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On the Dirichlet problem for harmonic maps with prescribed singularities

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Harmonic maps with prescribed singularities into Hadamard manifolds

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<i>N</i>-Black hole stationary and axially symmetric solutions of the einstein/maxwell equations

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Existence of stable hairy black holes in <i>su</i> (2) Einstein-Yang-Mills theory with a negative cosmological constant

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A new proof of the positive energy theorem.

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A space-time characterization of the Kerr-Newman metric

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On Hawking's local rigidity theorem for charged black holes

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Identifiers

zbMATH Open document ID

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10.12942/lrr-2012-7

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:2353443

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