D O C . 3 2 C A L C U L A T I O N S 6 5
32. Calculations R×μν
[Berlin, after 18 May
1923][1]
AD. [24 075].
[1]Dated by the fact that the calculations are written on the back of Doc. 30.
[2]The first line is eq. (4) of Einstein 1923n (Doc. 52). Apparently, Einstein is reflecting on the
results of that paper for the case where expansion parameters σ and τ were explicitly introduced, as
in , etc.
[2]
gμν;α
1
2
gμσ;σδα

ν
–
1
2
gνσ;σδα

μ
–
1
2
iμδα

ν
1
2
iνδα

μ
+ + 0 =
Rμν
×
ασgμν
×
– βTμν
τ2
σ

e) (
τ2
6σ2
 iμiν
× ×
+–=
Γμν α
μν
α
¯ ¿
® ¾
½
1
2
gμνiα  . – . – +=
×
–βτfμν
1
6σ©
§

τ
∂iμ
∂xν
 
∂iν
∂xμ¹
·
– =
βτ2
σ
§
Tμν
e) (
1
6σβ
iμiν¹·
× ×
+
©
–=
×
–fμν
1
6βσ©
¨
∂iμ
×
∂xν

∂i×·
∂xμ¹
¸ν
–
§
=
gμν σgμν
×
=
fμν
τfμν×
=
sμν
τsμν×
=
iμ
τiμ×
=
iμ iα
gαμ
 ⋅ iμ
×
τ
σ
 ⋅ = =
gμν σg×
μν
=