224

DOC.

21

GENERAL RELATIVITY

Published

in Königlich Preußische

Akademie der

Wissenschaften (Berlin). Sitzungsberichte

(1915):

778-786. Submitted 4 November

1915,

published

11

November

1915.

[1]For historical

background,

see

Vol.

4,

the editorial

notes,

"Einstein

on

Gravitation

and

Relativity:

The

Static

Field,"

pp.

122-128; "Einstein

on

Gravitation and

Relativity:

The Col-

laboration with Marcel

Grossmann," pp. 294-301;

the Introduction

to

this

volume;

Stachel

1989;

and Earman and

Glymour 1978a,

1978b. See

in

particular

Norton

1984,

sec.

8,

for

a

detailed discussion of this

paper

and its

sequels,

Einstein

1915g

(Doc. 22)

and

Einstein 1915i

(Doc. 25).

[2]Einstein

1914o

(Doc.

9).

[3]The

invariance

properties

of

H and the

relation

between

eqs.

(77)

and

(78)

of Einstein

1914o

(Doc.

9) are

discussed

in

more

detail

in

Einstein

to

H. A. Lorentz, 12

October

1915. See

also Einstein 1914o

(Doc. 9), notes 36

and

42,

for

more

background.

[4]In

eqs.

(13a)

and

(13b)

a

summation

over

l

is

implied on

the

right-hand sides; in

eq.

(13b)

the second

term

should

be

summed

over

p

as

well.

[5]See Einstein

1915g

(Doc. 22)

for

a

retraction of

this statement

and

a

modified discussion.

[6]Not

long

before

writing

this

paper,

Einstein had

realized

that the

version

of the

general

theory

of

relativity published

in

Einstein 1914o

(Doc.

9)

was

not

covariant under rotations

(see

Einstein

to

Erwin

Freundlich,

30

September

1915).

Einstein later credited this

insight

as one

of the

key steps

toward his revision of the

theory

(see

Einstein

to

Arnold

Sommerfeld, 28

November

1915,

and Einstein

to

H. A. Lorentz,

1

January

1916).