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Outgoing null oblate spheroidal coordinates
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Physics
Branches of physics
General relativity
Metric tensor
Oblate spheroidal coordinates
Created
2026-09-29
Updated
2026-10-18
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Starting from the
Minkowski metric
in
oblate spheroidal coordinates
,
set
u
=
t
−
r
,
R
=
r
, and choose an
azimuth
φ
satisfying
d
φ
=
d
ϕ
−
R
2
+
a
2
a
d
R
.
(1)
Then
d
s
2
=
−
d
u
2
−
2
d
u
d
R
+
2
a
sin
2
θ
d
R
d
φ
+
(
R
2
+
a
2
cos
2
θ
)
d
θ
2
+
(
R
2
+
a
2
)
sin
2
θ
d
φ
2
,
(2)
so the
coordinate vector
∂
R
is null.
Ancestors
(6)
Oblate spheroidal coordinates
Metric tensor
General relativity
Branches of physics
Physics
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(1)
Past exam of the mathematics course of the University of Cambridge
/
2020
/
ii
/
Paper 3
/
37D
/
b
/
iii
/
Solution
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