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- Path: sparky!uunet!portal!cup.portal.com!Van
- From: Van@cup.portal.com (Sylvan Van Jacques)
- Newsgroups: sci.physics
- Subject: Re: infinite universe
- Message-ID: <73362@cup.portal.com>
- Date: Mon, 11 Jan 93 07:28:06 PST
- Organization: The Portal System (TM)
- Distribution: world
- References: <19409@mindlink.bc.ca> <mcirvin.726602330@husc.harvard.edu>
- Lines: 45
-
- A question related to the previous posts:
-
- When astrophysicists speak of open and closed universes, do they mean that
-
- 1) The spatial part of the metric has open or closed form? i.e. the universe
- has infinite or finite spatial volume?
- OR
- 2) That the universe may have either an open or closed metric, but the
- density of matter is such that the expansion will
- a) keep on forever, or
- b) stop and start contracting.
-
- I suspect that these 2 are related. Are they?
-
- When people talk about the missing matter and dark matter, and whether there
- is enough matter to close the universe, do they mean the universe is closed in
- the sense that its metric is closed? Or do they mean that the expansion will
- reverse itself.
- Or do these two things always go together?
-
- I was taught that open and closed referred to the spatial part of the metric,
- not to the expansion of the universe.
- It seems inappropriate to speak about the density of matter determining
- whether the universe in closed or open, unless it determines whether the
- spatial part of the metric is open (hyperbolic), or closed (spherical), rather
- than determining whether or not the expansion will continue forever, or stop
- and reverse itself.
-
- Can we have a universe that has an open spatial metric, but an expansion that
- will reverse itself?
- Can we have a universe that has a closed spatial metric (and thus a finite
- spatial volume), but will keep on expanding forever?
-
- Or do Einstein's eqns. say that this is not possible? Does reversal of the
- expansion mean that the metric is closed, and if the expansion is not reversed,
-
- does this mean that the metric is open?
-
- Do the terms "open and closed" mean the same in astronomy as they do in
- general relativity?
-
- Am I making sense? I have had a very hard time getting any response to this
- question, which seems quite clear to me.
-
- Van van@cup.portal.com
-