Black holes with only one Killing field

By Ó. J. Dias, G. Horowitz, Jorge E Santos. 2011

173 citations recorded by the source corpus.

We present the first examples of black holes with only one Killing field. The solutions describe five dimensional AdS black holes with scalar hair. The black holes are neither stationary nor axisymmetric, but are invariant under a single Killing field which is tangent to the null generators of the horizon. Some of these solutions can be viewed as putting black holes into rotating boson stars. Others are related to the endpoint of a superradiant instability. For given mass and angular momentum (within a certain range) several black hole solutions exist.

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

View Paper: https://www.semanticscholar.org/paper/6cca0fcffdce535af7ae3e62c99e30bd134046a7

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Citations in the corpus

Numerical methods for finding stationary gravitational solutions (2015, methodology): “However, [41] observed that these results occur essentially because boson stars have oscillatory time dependence e−iωt, with t → ∞ at the horizon of a static, uncharged, black hole.”
Kerr black holes with Proca hair (2016, background): “All previously constructed examples which employed this mechanism have scalar hair, both in four spacetime dimensions [1, 45, 58, 59] and in higher dimensions [76, 85], including the example in five dimensional asymptotically Anti-de-Sitter space found in [86].”
Dynamical boson stars (2012, methodology): “The work of [120] makes ingenious use of this 5D ansatz to construct rotating black holes with only a single killing vector.”
Superradiance (2015, background): “It is then possible to find five-dimensional AdS BHs with scalar hair by simply solving a set of coupled ODEs [16].”
Holographic thermalization, quasinormal modes and superradiance in Kerr-AdS (2013, methodology): “These ideas were first proposed in [39] and further developed in [40, 19].”
The AdS/CFT correspondence (2014, background): “For example the geons of [146]”
Superradiance: Energy Extraction, Black-Hole Bombs and Implications for Astrophysics and Particle Physics (2015, background): “BH superradiance is also associated to the existence of new asymptotically flat, hairy BH solutions [12] and to phase transitions between spinning or charged black objects in asymptotically AdS spacetime [13, 14, 15] or in higher dimensions [16].”