The Schwarzschild solution for empty isotropic space in standard form can be converted to normal form using
Use
to integrate (1) and, follow Weinberg (1972, p. 181), obtain
Plugging this back into (2), rearranging, and square gives
Then
So
and
Using
instead,
(1)
Use
(2)
to integrate (1) and, follow Weinberg (1972, p. 181), obtain
(3)
Plugging this back into (2), rearranging, and square gives
(4)
(5)
(6)
(7)
Then
(8)
So
(9)
and
(10)
Using
instead,(11)
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