578 DOC.
556
JUNE
1918
This world
can
be
obtained
from
the
gravitational effect
of
a
fluid which
is
con-
centrated
at
the
“equator” (on
a
two-dimensional
surface).
Two-dimensionally
it
is
easy
to draw
a
straightforward
comparison
with
my
conception (where
time
is
omitted
because of
the
field’s
static
character):[15]
In
my
solution,
the
matter
is
distributed
evenly
over
the entire
surface of
the
sphere;
for de
Sitter,
it
is
concentrated
at
the
equator
(r/R
=
s/2).
Einstein
de
Sitter
evenly
distributed
matter
void
matter at
the equator
void
De
Sitter
incorrectly
believes
that
his solution does not
presuppose
the
exis-
tence of matter.
Weyl
has shown in his
book[16]
which
will
appear shortly,
that
de Sitter’s
case
really
is
obtained
as a limiting case
of
the
more general
Void
Matter
of finite
density
distributed
over
equatorial
zone.
Void
as
I asserted
without
proof
in
my
notice.[17]
If
the
world
really
were so,
the
fixed
stars would have
to
have
enormous
ve-
locities
so
that
they
could
maintain
their statistical
distribution,
owing
to
the
tremendous
differences in
gravitational
potential
that
would have
to
exist be-
tween
the
various
points
of
such
a
world.
The
nonexistence
of great
stellar
veloc-
ities
compels
us
to believe
that
on a
large
scale matter is
not all
that
unevenly
distributed
throughout
the
universe.
With
amicable
greetings, yours very
truly,
A.
Einstein.