April 26th 12, 09:29 AM
posted to sci.physics.relativity,sci.astro,sci.physics
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Birkoff theorem
On Apr 26, 4:05*am, Koobee Wublee wrote:
On Apr 25, 3:17 am, waitedavidmsphysics wrote:
Heres a video I did on an exact vacuum solution's line element
I found and the relevance of the Brikoff theorem.
http://www.youtube.com/watch?v=sfKIFyzEmMs
Dude, after all these years, you are still talking garbage. *Almost 9
minutes of bull**** in fact. *shrug
First of all, the third equation is wrong. *Secondly, your
interpretation of invariance is fvcked up. *Let’s go back to a
solution to the field equations that is static and spherically
symmetric.
** *ds^2 = c^2 (1 – R / u) dt^2 – du^2 / (1 – R / u) – u^2 dO^2
Where
** *dO^2 = dLongitude^2 cos^2(Latitude) + dLatitude^2
** *R = Integration constant
** *u = ANY FUNCTION OF r
Allow Him to emphasize that any function of u(r) within the content of
the equation above is a solution to the field equations. *shrug
** *When [u = r],
The geometry is the Schwarzschild metric which was derived by Hilbert.
** *When [u = r (1 – R^3 / r^3)^(1/3)],
The geometry becomes Schwarzschild’s original solution --- the first
solution ever derived. *Schwarzschild’ original solution does not
manifest black holes and also degenerates into Newtonian law of
gravity.
** *When [u = r – R],
The geometry manifests no black holes but also explains Newtonian law
of gravity.
** *When [u = r / (1 + r^2 / R / S)] where (S = another constant),
The geometry also degenerates into Newtonian law of gravity at
relative short distances (galactic scale) but antigravity at very
large distances (cosmic scale).
** *When [u = R^2 / r],
The geometry is not asymptotically flat which proves Birkhoff Theorem
wrong.
Just to toss another bone for you to play with, the following is also
a solution to the field equations.
** *ds^2 = c^2 dt^2 / (1 + R / u) – (1 + R / u) (du/dr)^2 dr^2 – u^2
(1 + R / u)^2 dO^2
Where
** *u = ANY FUNCTION OF r
Idiot
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