Black Saturn

By Henriette Elvang, Pau Figueras. 2007

246 citations recorded by the source corpus.

Using the inverse scattering method we construct an exact stationary asymptotically flat 4+1-dimensional vacuum solution describing “black saturn”: a spherical black hole surrounded by a black ring. Angular momentum keeps the configuration in equilibrium. Black saturn reveals a number of interesting gravitational phenomena: (1) The balanced solution exhibits 2-fold continuous non-uniqueness for fixed mass and angular momentum; (2) Remarkably, the 4+1d Schwarzschild black hole is not unique, since the black ring and black hole of black saturn can counter-rotate to give zero total angular momentum at infinity, while maintaining balance; (3) The system cleanly demonstrates rotational frame-dragging when a black hole with vanishing Komar angular momentum is rotating as the black ring drags the surrounding spacetime. Possible generalizations include multiple rings of saturn as well as doubly spinning black saturn configurations.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/735341af68b47817e83d3a881da7b346053ed0fd

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Citations in the corpus

Thermodynamics of Rotating Black Holes and Black Rings: Phase Transitions and Thermodynamic Volume (2014, methodology): “[118] H. Elvang and P. Figueras, Black Saturn, JHEP 0705 (2007) 050, [hep-th/0701035].”
Black rings in (Anti)-de Sitter space (2008, background): “Exact solutions for black Saturns in five-dimensional vacuum gravity were obtained in [31].”
Numerical methods for finding stationary gravitational solutions (2015, background): “[338] H.”
The Phase Structure of Higher-Dimensional Black Rings and Black Holes (2007, background): “In five dimensions, where a comparison with exact black Saturn solutions is possible [4], this approximation has been shown to be reliable [5].”
Black holes, black rings and their microstates (2007, background): “The process of swallowing the ring is not necessarily adiabatic, but we assume that the black hole does indeed swallow the black ring and we can then compute the entropy from the charges and angular momentum of the resulting BMPV black hole.”
CFT Duals for Extreme Black Holes (2008, background): “There are also many five-dimensional black holes with non-trivial horizon topology, including the Myers-Perry black hole, black rings, and black saturns [30–36], that have Rt ×U(1)2 spacetime symmetry.”
Black Holes in Higher Dimensions (2008, background): “One possibility for a different instability of black Saturns appears from the analysis of counter-rotating configurations in [77].”
Bicycling black rings (2007, methodology): “included to facilitate adding angular momentum to each of the two black rings [9].”
A new approach to static numerical relativity and its application to Kaluza–Klein black holes (2009, background): “However, for stationary solutions in D = 5, in addition to the Myers-Perry solution which generalizes Kerr [9], the Emparan-Reall black ring is found [10]; these may even be combined into a ‘black Saturn’ [11,12].”