Gravity and Strings

266 The Reissner–Nordström black hole
multi-BH solutions. If we take the near-horizon limit of the d-dimensional ERN solution,
we find, after the coordinate change r d−3 = (d − 3)hρ, t → t/h 1
d−3 ,ageneralization of
the RB solution,
where
ds 2 =
ρ
2 dt
R
2 −
Aµ = δµtαρ,
2 R
dρ
ρ
2 − h 2
d−3 d2 (d−2) ,
R =
The metric is that of the direct product AdS2 × S d−2 .
(8.230)
1
h d−3
. (8.231)
d − 3