514 DOCS.
492,
493
MARCH
1918
involved.[8]
The
numerical
discrepancy
is connected
to
the
fact
that the
term
with
A,
which makes
the
constancy
of
g44
and
the
vanishing
of
the
pressure possible
in
the
first
place
in
my case,
is
missing
in
the
equations
in
Schwarzschild’s
case.[9]
An
interpretation
of
the
world
as a
whole
that
can
be in
any way
satisfactory
and
compatible
with
the
facts does
not
seem
possible
without the introduction
of
the
A
term in the
field
equations.
I
am
very
much
looking
forward to
your
new
lectures.[10]
Lately,
I
read
cor-
rection
proofs
of
a
book
by
H.
Weyl
on
the
theory of
relativity,[11]
which made
a
great
impression on me.
It
is
admirable
how
well
he masters
the
subject.
He
derives
the
energy
law of matter with
the
same
variation
trick
you
use
in
your
recently published
note.[12]
Finally,
I
heartily
thank
you
and
the
other
colleagues
of
yours
involved in
having an
immense scientific
prize assigned
to
me.
I
received word
today
from
Hamburg.[13]
In utmost
respect,
I
am
yours very truly,
A.
Einstein.
493. To
Gustav Mie
[Berlin,]
24 March
1918
Dear
Colleague,
In
joyous
anticipation of
your promised visit,
I
reply
just
briefly
to
your long
letter
of
the
21st.[1]
According
to
my
interpretation,
the distribution
of
matter
does
not
need
to
be such
that
p
is constant
in
reality.
It
suffices
that
spaces
exist
that
are
large compared
to
the
distance
to
neighboring
fixed
stars
but that
are
small
enough
to
be able
to
look
upon
the
metric deviation from Euclidean
behavior
as
still small. For such
a
region
of
space,
the
field equations
can
be
substituted
by
linear
ones,
where
Tuv
and
the
A
term
are on
the
right-hand
side.
The
field
at
the
boundary of
this
space
then
depends
just
as
little
on
the detailed
distribution
as
in Newton’s
theory.
Based
on
my
theory
of
1915,[2]
it
is
not
legitimate
to
regard an
Earth
enveloped
in clouds
as
rotating
in
reality.
For
the
gravitational
and
inertial
fields
are
viewed
as
an
indivisible unit.
This total
field
determines
the
result
of
Foucault’s
pendu-
lum
experiment
and-with
respect
to
a
coordinate
system
not
rotating
relative
to
the
Earth-satisfies
the
differential
equations.
At
the
time,
I
did not set
up
boundary
conditions
except
to characterize
special
cases.
The
differential
equa-
tions
are
satisfied
everywhere, though, no
matter how far
the
space
in which
they
are
to
be
tested
is
chosen to
extend,
and
no
matter how
the coordinate
system
is
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