Birkoff theorem

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