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(x, y, z, t) <br />
<br />
r(xdx + ydy) − a(xdy − ydx)<br />
ds 2 = dx 2 +dy 2 +dz 2 −dt 2 + 2Mr3<br />
r 4 + a 2 z 2<br />
r 2 + a 2<br />
+ zdz<br />
r<br />
2 + dt .<br />
<br />
<br />
<br />
r <br />
(x, y, z) <br />
<br />
r 4 − (x 2 + y 2 + z 2 − a 2 )r 2 − a 2 z 2 = 0. <br />
r <br />
r = cste<br />
r <br />
<br />
<br />
x 2 + y 2 = a 2 z = 0. <br />
<br />
<br />
RµνρσR µνρσ <br />
<br />
<br />
<br />
r < 0 <br />
<br />
a 2 < M 2 <br />
∆ <br />
<br />
r± = M ± √ M 2 − a 2 . <br />
r = 2M <br />
<br />
<br />
<br />
<br />
<br />
(r+ = cste<br />
r− = cste) <br />
<br />
<br />
a 2 > M 2 a 2 < M 2 <br />
a 2 > M 2