New Axisymmetric Stationary Solutions of Five-dimensional Vacuum Einstein Equations with Asymptotic Flatness

Abstract

New axisymmetric stationary solutions of the vacuum Einstein equations in five-dimensional asymptotically flat spacetimes are obtained by using solitonic solution-generating techniques. The new solutions are shown to be equivalent to the four-dimensional multi-solitonic solutions derived from particular class of four-dimensional Weyl solutions and to include different black rings from those obtained by Emparan and Reall.

6 pages, 3 figures;typos corrected, presentations improved, references added;accepted version

References in corpus (10)

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• Black Holes in Higher Dimensions
• A Higher Dimensional Stationary Rotating Black Hole Must be Axisymmetric
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• Extremal vacuum black holes in higher dimensions
• Electromagnetic Properties of Kerr-Anti-de Sitter Black Holes
• Ultraspinning instability of rotating black holes
• Charging axisymmetric space-times with cosmological constant
• $G_2$ generating technique for minimal D=5 supergravity and black rings
• Completely integrable sector in 5D Einstein-Maxwell gravity and derivation of the dipole black ring solutions
• Solitonic generation of five-dimensional black ring solution
• Boundary Value Problem for Black Rings
• Vaccum solutions of five-dimensional Einstein equations generated by inverse scattering method II : Production of black ring solution
• Uniqueness theorem for charged rotating black holes in five-dimensional minimal supergravity
• On the Structure of Stationary and Axisymmetric Metrics
• Superradiant instability of large radius doubly spinning black rings
• Embedding hairy black holes in a magnetic universe
• Dilaton black holes with squashed horizons and their thermodynamics
• Interpreting spacetimes of any dimension using geodesic deviation
• Charged Black Holes in a Rotating Gross-Perry-Sorkin Monopole Background
• Charged Rotating Kaluza-Klein Black Holes Generated by G2(2) Transformation
• Uniqueness theorem for charged dipole rings in five-dimensional minimal supergravity
• 5D Einstein-Maxwell solitons and concentric rotating dipole black rings
• Solitonic generation of vacuum solutions in five-dimensional General Relativity
• Boosted Black Holes on Kaluza-Klein Bubbles
• Relationship Between Solitonic Solutions of Five-Dimensional Einstein Equations
• Rotating Black Holes on Kaluza-Klein Bubbles
• Generating technique for $U(1{)}^{3}5D$ supergravity
• Coalescence of Rotating Black Holes on Eguchi-Hanson Space
• Unbalanced Pomeransky-Sen'kov black ring
• Stable Bound Orbits of Massless Particles around a Black Ring
• Stable Bound Orbits around Black Rings
• Infinite Number of Stationary Soliton Solutions to Five-dimensional Vacuum Einstein Equation
• A doubly rotating black ring with dipole charge
• Supersymmetric Black Rings on Eguchi-Hanson Space
• Black rings with a small electric charge: gyromagnetic ratios and algebraic alignment
• The Geroch group in Einstein spaces
• The Stable Trapping Phenomenon for Black Strings and Black Rings and its Obstructions on the Decay of Linear Waves
• Generating dyonic solutions in 5D Einstein-dilaton gravity with antisymmetric forms and dyonic black rings
• Charged Kaluza-Klein double-black holes in five dimensions
• Binary Darboux Transformations in Bidifferential Calculus and Integrable Reductions of Vacuum Einstein Equations
• A stationary and biaxisymmetric four-soliton solution in five dimensions
• Three-charge 2J black ring
• Extremal Charged Black Holes with a Twisted Extra Dimension
• Multi-Black Rings on Eguchi-Hanson Space
• Rotating black rings on Taub-NUT
• New construction of a charged dipole black ring by Harrison transformation
• Black Strings, Black Rings and State-space Manifold
• Rotating dyonic dipole black rings: exact solutions and thermodynamics
• "Flip" of SL(2,R)-duality in five-dimensional supergravity
• Doubly Spinning Black Rings
• Accelerating black diholes and static black di-rings
• Stability analysis of Squashed Kaluza-Klein Black Holes with Charge
• Uniqueness theorems for Kaluza-Klein black holes in five-dimensional minimal supergravity
• On the black hole species (by means of natural selection)
• Glauber gluons in pion-induced Drell-Yan processes
• Black Objects and Hoop Conjecture in Five-dimensional Space-time
• Integrability of Particle System around a Ring Source as the Newtonian Limit of a Black Ring
• Particle dynamics in the Newtonian potential sourced by a homogeneous circular ring
• Multi-Sheet Wormholes in the Gravitational Soliton Formalism
• A black ring on the Taub-bolt instanton in five dimensions
• Thermodynamic black di-rings
• Generating Generalized $G_{D-2}$ solutions
• On double-black hole solutions of the Einstein-Maxwell-Dilaton theory in five dimensions
• Three Charge Supertubes in Type IIB Plane Wave Backgrounds
• Connection Dynamics of Reduced 5-dimensional Kaluza-Klein Theory and Its Deparametrization
• Hidden symmetries in 5D supergravities and black rings
• Solitons via Lie-Bäcklund Transformation for 5D Low-energy String Theory