D O C . 1 9 R E L AT I V I T Y L E C T U R E N O T E S 1 7 5
Perihelfortschr. pro Uml
Für eukl. Fall Existenz von
Parallelfeld[91]
Über geschl. Kurve integriert
für jedes μ
f2-------
dx4-
ds
konst. =
dx2
ds
------- -
dx1
ds
------- - ⁄ x2 : x1 =
r2------
dϕ
ds
b. =
dρ2
dϕ
-------- -
2m
b2
-------ρ
E
b2
---- - – ρ2 2mρ3 + – =
2m( ρ ρ0)] – ρ[- ρ1) – ( ρ ρ2) – ( =
1
ρ1
----- a( 1 e) – =
1
ρ2
----- a( 1 e) + =
ρ1 ρ2 +
2
a( 1 e2) –
---------------------- =
ρ0 ρ1 ρ2 + +
1
2m
------- =
ρ
ρ1 ρ2 +
2
----------------- –
ρ1 ρ2 –
2
---------------- - cosϑ =
ϕ
dϑ
2mñ á 2mèρ0
ρ1 ρ2 +
2
-----------------
ρ1 ρ2 –
c
---------------- - cosϑ – +
æ
------------------------------------------------------------------------------------------------
ò
=
24π3a2
c2T2( 1 e2) –
------------------------------
43″,
[p. 25]
0
∂Aμ
∂xν
---------
μ ν
σ
î þ
í
ýAσ
ì ü
– =
0
μ ν
σ
î þ
ýAσdxν
ì ü
òí
=