Physical Review D
American Physical Society
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We present a new vacuum solution of Einstein’s equations describing the near horizon region of two neutral, extreme (zero-temperature), corotating, nonidentical Kerr black holes. The metric is stationary, asymptotically near horizon extremal Kerr (NHEK), and contains a localized massless strut along the symmetry axis between the black holes. In the deep infrared, it flows to two separate throats which we call “pierced-NHEK” geometries: each throat is NHEK pierced by a conical singularity. We find that in spite of the presence of the strut for the pierced-NHEK geometries the isometry group SL(2,R)×U(1) is restored. We find the physical parameters and entropy.
Ciafre, Jacob, Hadar, Shahar, Rickenbach, Erin, and Rodriguez, Maria. "Generalized Near Horizon Extreme Binary Black Hole Geometry." Physical Review D, 2019, pp. 1-9. https://doi.org/10.1103/PhysRevD.100.044033