2013/05/31 by Liu Zhao, Wei Xu, Bin Zhu · 42 citations
Physics and Astronomy · #Angular momentum #Ansatz #Astrophysical Phenomena and Observations #Black Holes and Theoretical Physics #Black hole (networking) #Horizon #Metric (unit) #Noncommutative and Quantum Gravity Theories #Rotating black hole #Scalar (mathematics) #Scalar field #Singularity #gr-qc #hep-th
paper · pdf · doi:10.1088/0253-6102/61/4/12
published in Communications in Theoretical Physics 61(4), 475-481 (Institute of Physics) · 15 pages. v2: New references and minor corrections
arxiv created 2013/06/03 · openalex publication_date 2014/04/01 · arxiv updated 2015/06/16 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
We present some novel rotating hairy black hole metric in (2+1) dimensions, which is an exact solution to the field equations of the Einstein-scalar-AdS theory with a non-minimal coupling. The scalar potential is determined by the metric ansatz and consistency of the field equations and cannot be prescribed arbitrarily. In the simplified, critical case, the scalar potential contains two independent constant parameters, which are respectively related to the mass and angular momentum of the black hole in a particular way. As long as the angular momentum does not vanish, the metric can have zero, one or two horizons. The case with no horizon is physically uninteresting because of the curvature singularity lying at the origin. We identified the necessary conditions for at least one horizon to be present in the solution, which imposes some bound on the mass-angular momentum ratio. For some particular choice of parameters our solution degenerates into some previously known black hole solutions.