On 3/16/18 10:38 AM, T Pagano wrote:
[...]
> 2. Hans Thirring (a contemporary of Einstein) proved (using Einstein's
> field equations) that the rotating starfield in a Newton's Sphere
> generates both Coriollis Forces and Centrifugal forces on everything
> within the sphere.
The first few times you said this, it might have merely been a
misconception coming from reading bad pop sci. But it's been
explained to you that this is not true. Let me repeat:
Thirring's paper, "Über die Wirkung rotierender ferner Massen in der
Einsteinschen Gravitationstheorie," appeared in Phys. Zeit. 19 (1918),
33-39, but there's a good English translation, "On the effect of
rotating distant masses in Einstein’s theory of gravitation," by
D. H. Delphenich, that you can find (free) if you look on Google
Scholar. Read it, and find a place where he says what you claim.
(Hint: you can't.)
What Thirring found was
(1) an effect of the same general form as centrifugal force, but tiny;
(2) an effect of the same general form as Coriolis force, but also tiny;
(3) a third effect, also tiny, that acting like a force pushing objects
toward the equator.
Subsequent work looked at what would happen if you tried to ramp up the
effect to something larger than the incredibly tiny result Thirring
found. (Thirring couldn't do this -- the necessary mathematics wasn't
available in 1918.) You can find a description in, for example, Orwig,
Phys. Rev. D18 (1978) 1757-1763. The answer is that you need stronger
and stronger stresses to keep the shell from either flying apart or
collapsing under its own weight. If you try to reproduce the actual,
observed centrifugal and Coriolis forces, you need infinite stresses.
So, no. While Thirring found a very small Coriolois-like effect and a
very small centrifugal-like effect, he certainly did not find anything
close to what we actually observe.
Steve Carlip