Generalized Near Horizon Extreme Binary Black Hole Geometry. (arXiv:1906.07203v1 [hep-th])

<a href="http://arxiv.org/find/hep-th/1/au:+Ciafre_J/0/1/0/all/0/1">Jacob Ciafre</a>, <a href="http://arxiv.org/find/hep-th/1/au:+Hadar_S/0/1/0/all/0/1">Shahar Hadar</a>, <a href="http://arxiv.org/find/hep-th/1/au:+Rickenbach_E/0/1/0/all/0/1">Erin Rickenbach</a>, <a href="http://arxiv.org/find/hep-th/1/au:+Rodriguez_M/0/1/0/all/0/1">Maria J. Rodriguez</a>

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.

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.

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