Abstract
We present a new vacuum solution of Einstein's equations describing the near horizon region of two neutral, extreme (zero-temperature), co-rotating, non-identical 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)xU(1) is restored. We find the physical parameters and entropy.
Highlights
Rotating,extreme Kerr black holes (BHs) constitute a unique arena which offers both observational relevance and enhanced theoretical control
We study a 1-parameter family of exact axis-symetric solutions describing two corotating extreme Kerr BHs of arbitrary masses which are held apart by a conical singularity with effective pressure, usually called a strut and as we rescale coordinates to zoom-in on the near-horizon region, we shorten the strut separating the BHs
II and analyze its physical properties. We show how it admits a localized strut along the symmetry axis between the black holes but is asymptotically near-horizon extreme Kerr (NHEK)
Summary
Rotating, (near-)extreme Kerr black holes (BHs) constitute a unique arena which offers both observational relevance and enhanced theoretical control. The solution presented here generalizes [11], which studied a similar construction for the equal-mass case These infrared near-horizon geometries which the strut pierces on its way to the horizons are analogues of NHEK which include a conical singularity at one of the poles, extending from the horizon all the way to the NHEK boundary. The workhorses of this paper are the binary BH solutions first found in [15] and further studied, including their construction via various solution generating techniques in [16,17,18,19,20,21] These exact solutions are stationary, axisymmetric, asymptotically flat solutions which describe two rotating BHs held apart by a strut along the symmetry axis.
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