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- From: carlip@landau.ucdavis.edu (Steve Carlip)
- Newsgroups: sci.astro
- Subject: Re: "Modeling" the Expanding Universe? (was Re: That Great Pulsar Timing Flame War)
- Message-ID: <21629@ucdavis.ucdavis.edu>
- Date: 21 Jan 93 19:12:14 GMT
- References: <C12zIH.Ax@well.sf.ca.us> <1993Jan19.053505.6256@athena.mit.edu> <C15vrI.6yp@well.sf.ca.us>
- Sender: usenet@ucdavis.ucdavis.edu
- Organization: Physics, UC Davis
- Lines: 40
-
- In article <C15vrI.6yp@well.sf.ca.us> metares@well.sf.ca.us (Tom Van Flandern) writes:
- >
- > The hypothesis that the initial explosion was an explosion of
- >spacetime and not of matter is a big bang hypothesis, not part of GR.
-
- This is the basic problem with your argument, Tom --- this statement
- is not really right. (At least, my interpretation of your interpre-
- tation of this statement is that you're wrong.) Your criticism of
- ad hoc assumptions seems to me to come from a confusion between
- what is assumed and what is derived.
-
- General relativity gives a set of field equations that determine the
- geometry of spacetime (curvature *and* expansion or contraction) from
- the matter distribution. If you assume a homogeneous, isotropic
- distribution of matter with standard relationships between density
- and pressure, you *derive* Friedman-Robertson-Walker cosmology,
- with a *predicted* relationship between the expansion rate of the
- universe and the density of matter and radiation.
-
- If, on the other hand, you assume an *approximately* homogeneous and
- isotropic distribution, with local areas of higher or lower density,
- you can again solve the field equations (at least in a systematic
- approximation) and look at the predictions. In this case, you find
- an average expansion rate, but you can also look at the detailed
- behavior of regions with higher or lower densities. I have not
- done these calculations myself, but I have no reason to doubt Ethan
- Vishniac's statement that when this is done, you find that dense
- enough subsystems do not participate in the expansion. In any case,
- this is something that can be checked by looking at the predictions
- of general relativity with the appropriate matter distributions.
- It is *not* anything new that needs to be brought in from the outside.
-
- I gues I don't really understand why this is confusing. In general
- relativity, space doesn't just expand because it wants to; the
- expansion is the (predicted) response of spacetime geometry to the
- presence of matter. If you change the matter distribution, why
- shouldn't you expect the expansion to change?
-
- Steve Carlip
- carlip@dirac.ucdavis.edu
-