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1834
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section::::nhm of extremal kerr black holes.





















































the metric of extremal kerr black hole (formula_5) in boyer–lindquist coordinates can be written in the following two enlightening forms,





















































where





















































taking the near-horizon limit





















































and omitting the tildes, one obtains the near-horizon metric (this is also called "extremal kerr throat" )





















































section::::nhm of extremal kerr–newman black holes.





















































extremal kerr–newman black holes (formula_11) are described by the metric





















































where





















































taking the near-horizon transformation





















































and omitting the tildes, one obtains the nhm





















































section::::nhms of generic black holes.
near-horizon metric