D O C . 1 2 R E L AT I V I T Y L E C T U R E N O T E S 9 7
Kontinuitätsgl.
Ruheenergiedichte
=
aus Zustandsgleichung
__________________________________________________________
Überg. von Bew. Gl. zum Punkt
AD. [3 009]. The document, preserved in a notebook, 16 cm × 21 cm, consists of ten unnumbered
pages. Page numbers provided here appear in the margin in square brackets. The title “Relativitäts-
theorie, Wintersemester 1918–1919” appears on the front cover. The five pages at the front of the
notebook are transcribed in this document. Beginning on [p. 6], the notebook also contains lecture
notes for the summer semester 1919, that are presented as Doc. 19. The notes for the winter semester
continue upside down from the back of the notebook, presented here as [pp. 7–10]. A page has been
torn out of the notebook between [p. 8] and [p. 9].
[1]This document is dated on the assumption that Einstein prepared these notes during his courses
in winter semester 1918–1919 at the University of Berlin and the University of Zurich. The semester
in Berlin was scheduled to run from 30 September 1918 to 1 February 1919 (see Berlin Verzeichnis
uμ
ρ--------------------------
∂ñd á ρñuμ á
ds
-
∂p
∂x
νñ á μ
--------------- ρñuμ∂x á
∂ρuν
μñ á ν
--------------- 0 = + +
dp
νñ á
ds
------------ -
∂ρuν
∂xν
----------- - 0 = –
[37]
[36]
∂p
∂xμ
-------- ρ--------
duμ
ds
- uν-----
dp
ds
- 0 = + +
Kμ
p – ρ + f p) ( =
V0 M0 p0 0 =
E M0
+ñ–òp
á dV
0
p
=
p – ρ=
M0
V
------ -
dV
òp
V
------------= - f p) ( – +
ρ=
1
Vè
---æ--------
M0-
Vñ á
+ñ–pV á pñV á
Vñö
á dp
ò
+
ø
p +
=ñ---( á
1
V
M0 dp)
òV
+
dp
òV
ρ0
1
VòV
--- dp + =
KmV ρV0V0
V
----------------------------= -
duμ
dt 1 q2 –
- M
dt
duμ
= M
dtè
d
1
q2ø
–
------------------öμq
æ
=