[net.physics] The General Theory of Relativity and Cosmology

jlg@lanl-a.UUCP (06/10/83)

A steady state universe is not consistent with the general theory of
relativity.  The general theory predicts that the usiverse will be
gravitationally unstable and will therefore either expand or contract.  It
was this prediction which caused Einstein to introduce a cosmological term
in the theory in order to permit a steady state theory to work.  When
Hubble (and others) showed that the galaxies receeded at rates proportional
to their distances (so the universe is expanding) Einstein retracted his
cosmological terms and said that they should not have been introduced at
all.

The general theory has no prediction about continued expansion (open
universe) or eventual contraction (closed).  It also does not require
a finite universe.  The Big Bang theory also does not require a finite
universe, an infinite extent, very dense beginning is consistent.

gwyn%brl-vld@sri-unix.UUCP (06/12/83)

From:      Doug Gwyn VLD/VMB <gwyn@brl-vld>

You state the popular view of cosmology based on 1915 general relativity.
There are some not-so-well known problems that are seldom considered but
are nonetheless relevant:

Nobody has demonstrated that distant galaxies recede from us at a rate
proportional to their distance from us.  What HAS been shown is that
their light is red-shifted proportionally the farther away they are.
This is not at all the same thing, as light can be red-shifted for
reasons other than Doppler effect.  Indeed, long ago E. Milne came up
with a cosmology that obeyed the "perfect cosmological principle"
(that globally things are similar everywhere and everywhen), used
special relativity only, and had light red-shifted in spite of the
steady state.  Any relativistic steady-state cosmology is likely to
have the same feature.

Here is the story of the "cosmological constant".  As you state, it
was introduced __ad ___hoc by Einstein in the early years of general
relativity because he felt a closed universe was necessary and
couldn't figure out one with the original field laws.  After
Friedmann was able to come up with closed cosmological models
consistent with the original equations, Einstein withdrew the
"cosmological constant" term (effectively setting the constant back
to zero) and admitted HIS PROCEDURE had been a great blunder.

Einstein never considered his general theory complete, and he
spent the rest of his life investigating ways to complete it.
Most of this work on a unified field theory was spent on generalizing
the theory of general relativity, principally through considering
generalizations of differential geometry (connections on fiber
bundles, etc.).  Einstein never again introduced an __ad ___hoc constant
into his work.

By 1950 Schr"odinger had completed his program to investigate all
possibilities for a unified field theory along Einstein's general
lines and made the remarkable discovery that the simplest, most
natural generalization of general relativity AUTOMATICALLY produced
equations that generalized the original field laws WITH cosmological
term!  The cosmological constant appeared spontaneously as a
definitely non-zero quantity in this development.  Those of you
who received copies of my Master's thesis can follow this theory
therein.

Recent fads such as "black holes" and "big bang" cosmology are usually
based on extending 1915 general relativity into domains where it was
clear to earlier workers such as Einstein and Schrodinger that the
approximations of the theory were no longer valid.  A correct treatment
of such matters would require a different theory, perhaps Schr"odinger's
and perhaps something rather different like one of the modern
supersymmetry theories.

laura@utcsstat.UUCP (06/16/83)

When I was a child I stumbled on the Steady State theory of cosmology
long before the Big Bang. I found it a rather emotionally satisfying
theory. Later, alas, I was told that it was obselete, and was horribly
disappointed. Much later, I discovered that the people who told me that
Big Bang was definitely it (such as high school physics teachers) were
oversimplifying.

When I finally went out and hit the physics textbooks myself, I find
a lot of contradictions. I also keep having to look up the names of
physicists to see what else they were doing and whether they changed their
minds about some of the theories they used to advance Big Bang or
Steady State throughout their lives.

As if this were not bad enough, I learned that the maths were hideously
complicated and you could spend weeks and months looking at one equation
not understanding it at all.

Now I have a problem. I would dearly love to believe in Steady State for
personal reasons, but I am not going to adopt it if it is generally
thought false by physicists who know far, far better than I. On the
other hand, if there is about equal strength to either hypothesis,
one only being currently "popular" among the general public, then
I can go back to believing Steady State, cant I? 

What I need is the names of current books and articles written by the
proponents of both theories so I can better understand each view. I
would be especially greatful if only Undergraduate level math was
required to understand the views as well. 

you can reach me at utzoo!utcsstat!laura. Utzoo talks to many sites
including linus, allegra and ihnp4. In desperation you can try the
decvax!utzoo link, but it has not been very reliable lately.

Thank you very much,
Laura Creighton
utzoo!utcsstat!laura

now, if you could only restore my belief in Santa Claus....

gwyn%brl-vld@sri-unix.UUCP (06/18/83)

From:      Doug Gwyn (VLD/VMB) <gwyn@brl-vld>

First, you need to realize that physicists are human beings with
their own prejudices and politics; the latter is aggravated by
the almost total reliance on government funding.  Therefore
there are many fads and camp followers...

It really shouldn't matter what theory feels comfortable; one
should arrange his value system so that the truth is emotionally
satisfying.  However, the truth is definitely not identical with
the ideas a majority of professionals happen to believe at any
given moment.  The history of science bears this out.

A majority of physicists in a position where they should know
currently believe in the Big Bang cosmology, although there are
others who think the evidence is inconclusive.  Astronomy in
general is based on extrapolation, since it is impossible to
perform controlled laboratory experiments on the subject matter.
Extrapolation is a risky business!  In the case of cosmology,
the red shift of distant objects is observable, but its
significance is a matter of conjecture; the common conjecture
is that it is a Doppler effect, and many cosmological models
take this for granted although alternative causes are possible.

Just because a technical paper was published some time ago
does not make it worthless (it does, however, tend to isolate
it from current fads).  The best discussion of cosmology I
ever saw was a little book "Expanding Universes" by Erwin
Schr"odinger.  It is eminently readable but a little hard to
find.  (If anyone with access to this book is willing to run
me off a copy, I would gladly cover expenses!)