Is the expansion of the universe a mirage?
https://www.space.com/universe-expansion-could-be-a-mirage
Okay. This came up on another forum. The paper is here:
Cosmology in Minkowski space (pdf).
Now although my general relativity is up to basically getting what sort of thing the author is talking about (the first few equations are familiar) it would take me forever to work through it, so I asked another member of the forum, who is a professor of mathematics and is
very familiar with GR, to take a look. He wasn't impressed.
Basically it's a bit of creative mathematics that doesn't really change anything. Apparently you could do the same thing with Newton's laws to make the Earth at rest. It would be way, way more complicated and horribly contrived, but it's possible.
What I
do understand about GR is that, because it's formulated in tensors, you are free to choose any coordinate system you want, no matter how contrived (and that includes the time coordinate, so I guess making the universe static is not impossible). This feature is quite deliberate and very useful when considering extreme conditions like black holes (my GR
is up to tackling stationary black holes), where, for example, you get a singularity at the event horizon if you use a coordinate system that corresponds to a distant observer's point of view. If you change the coordinate system, however, it's easy to see that it isn't a real singularity of the underlying manifold but is an indication that those coordinates don't work over the event horizon.
One would normally choose coordinates that make things simple and/or are as perceived by some particular observer, but you don't
have to do that - it will still all work the same no matter what.