River model of Black Holes
Gullstrand-Painlevé (1921) version of Schwarzschild metric:
d
s
2
=
-
d
t
ff
2
+ (
d
r
+
b
d
t
ff
)
2
+
r
2
(
d
q
2
+ sin
2
q
d
f
2
)
where
b
º
( 2
G
M
/
r
)
1/2
is the Newtonian escape velocity.
Fishies