Pole-skipping data encodes enough information to reconstruct the full metric of 3D rotating black holes and the radial functions of 4D separable rotating black holes, with Einstein equations becoming algebraic constraints on that data.
Rotating Black Holes in Higher Dimensions with a Cosmological Constant
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abstract
We present the metric for a rotating black hole with a cosmological constant and with arbitrary angular momenta in all higher dimensions. The metric is given in both Kerr-Schild and Boyer-Lindquist form. In the Euclidean-signature case, we also obtain smooth compact Einstein spaces on associated S^{D-2} bundles over S^2, infinitely many for each odd D\ge 5. Applications to string theory and M-theory are indicated.
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New class of exact rotating black holes with primary hair in 5D generalized Proca theory, generalizing Myers-Perry via Kerr-Schild form with light-like Proca field.
Near-EVH limits of AdS6 and AdS7 black holes produce conformally related lower-dimensional black hole solutions in EMMD gravity, opening a potential path to microscopic entropy counting for non-AdS black holes via higher-dimensional AdS/CFT.
Holographic calculation in a spinning Myers-Perry black brane shows that higher temperature or rotation parameter a shortens light-quark stopping distance and increases instantaneous energy loss, with stronger anisotropy for transverse motion.
Treating the cosmological constant as pressure in black hole thermodynamics yields an extended dictionary with enthalpy, thermodynamic volume, and chemical-like phase transitions including Van der Waals behavior, reentrant transitions, and triple points.
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Holographic light-quark energy loss in a spinning plasma
Holographic calculation in a spinning Myers-Perry black brane shows that higher temperature or rotation parameter a shortens light-quark stopping distance and increases instantaneous energy loss, with stronger anisotropy for transverse motion.