The Motion of the Perihelion of Mercury

On Wed, 31 Dec 2008 14:00:03 -0500, George Hammond
wrote:

On Wed, 31 Dec 2008 11:20:24 -0500, George Hammond
wrote:

On Mon, 29 Dec 2008 22:41:28 -0800 (PST), Koobee Wublee
wrote:

On Dec 29, 9:36 pm, Eric Gisse wrote:
On Dec 29, 7:58 pm, Koobee Wublee wrote:

Since the Schwarzschild metric is merely one of the infinite number of
solutions to the Einstein field equations that are static, spherically
symmetric, and asymptotically flat, other solutions do not predict the
same 43”.

Name one that is not related to Schwarzschild through a coordinate
transformation.

Short memory? You have been told that the following and the
Schwarzschild metric are ones among an infinite solutions to the
Einstein field equations that are static, spherically symmetric, and
asymptotically flat.

ds^2 = c^2 T dt^2 / (1 + 2 K / r) – (1 + 2 K / r) dr^2 – (r + K)^2
dO^2

Where

** K, T = Constants
** dO^2 = cos^2(Latitude) dLongitude^2 + dLatitude^2

[Hammond]
It may be "static, spherically symmetric, and
asymptotically flat" but I doubt that it satifies R_uv=0
since Schwarzchild proved that his solution is the ONLY
"static, spherically symmetric, and asymptotically flat"
solution that does! The schwarzchild solution is known to
be the ONLY solution to the spherical mass body problem.

[Hammond]
P.S....The fact that Schwarzchild's solution is the ONLY
spherically symmetric solution to the EFE is known as
"Birkhoff's Theorem".

[Hammond]
P.P.S..... Jorg Jebsen a Norwegian physicist actually
discovered and published Birkhoff's theorem two years
earlier but because he died in poverty of tuberculous in
Italy at the age of 34; when the famous mathematician George
Birkhoff later rediscovered the theorem without knowing of
Jebson's work it was named after him. Alas poor Jebson.
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On Dec 31, 8:20 am, George Hammond wrote:
Koobee Wublee wrote:

Short memory? You have been told that the following and the
Schwarzschild metric are ones among an infinite solutions to the
Einstein field equations that are static, spherically symmetric, and
asymptotically flat.

ds^2 = c^2 T dt^2 / (1 + 2 K / r) – (1 + 2 K / r) dr^2 – (r + K)^2
dO^2

Where

** K, T = Constants
** dO^2 = cos^2(Latitude) dLongitude^2 + dLatitude^2

It may be "static, spherically symmetric, and
asymptotically flat" but I doubt that it satifies R_uv=0

So, you are not sure if that solution above does not satisfy R_uv =
0. Well, Gisse plugged it into his software program and had verified
so a year ago. There are actually infinite solutions to the field
equations that are static (time invariant), spherically symmetric, and
asymptotically flat (approaching flat spacetime at r = infinity).
Through Koobee Wublee’s theorem or the theorem of Generality below,
you can find any solution you wish the universe to be including the
accelerated expanding universe that still behaves like Newtonian at
relatively smaller distances.

ds^2 = c^2 T dt^2 (1 + 2 K / u) – (1 + 2 K / u) (du/dr)^2 dr^2 – (u +
K)^2 dO^2

Where

** u(r) = Any function of r

For example,

1. If (u = r), then you have the solution above.

2. If (u = r^2 / K), you do not get the Newtonian inverse square law
for gravitation.

3. If (u = (r^3 + K^3)^(1/3) – K), you get Schwarzschild’s original
solution.

4. If (u = K / (K / r + r^2 / L^2)), you get the accelerated
expanding universe at cosmological scales and Newtonian physics at
astronomical scales.

5. If (u = r – K), you get the Schwarzschild metric discovered by
Hilbert.

since Schwarzchild proved that his solution is the ONLY
"static, spherically symmetric, and asymptotically flat"
solution that does!

Notice all the examples above are static and spherically symmetric.
All are asymptotically flat except (4). Thus, Birkhoff’s theorem is
proven utter nonsense by example. shrug

The schwarzchild solution is known to
be the ONLY solution to the spherical mass body problem.

Nonsense!

On Dec 31, 11:00 am, George Hammond wrote:

P.S....The fact that Schwarzchild's solution is the ONLY
spherically symmetric solution to the EFE is known as
"Birkhoff's Theorem".

Nonsense!

On Dec 31, 11:52 am, George Hammond wrote:

P.P.S..... Jorg Jebsen a Norwegian physicist actually
discovered and published Birkhoff's theorem two years
earlier but because he died in poverty of tuberculous in
Italy at the age of 34; when the famous mathematician George
Birkhoff later rediscovered the theorem without knowing of
Jebson's work it was named after him. Alas poor Jebson.

Well, either Jebson and Birkhoff are proven to be very shallow minded
mathematicians, or Koobee Wublee is a great genius able to see through
these nonsense. Well, I will leave it up to you to decide. As you
know, yours truly is still a very humble scholar. You, on the other
hand, need to stick to what you do best. That is preaching to the
already religious SR/GR/Einstein worshippers. shrug

On Dec 31, 8:29*pm, Koobee Wublee wrote:
On Dec 31, 8:20 am, George Hammond wrote:



Koobee Wublee wrote:
Short memory? *You have been told that the following and the
Schwarzschild metric are ones among an infinite solutions to the
Einstein field equations that are static, spherically symmetric, and
asymptotically flat.

ds^2 = c^2 T dt^2 / (1 + 2 K / r) – (1 + 2 K / r) dr^2 – (r + K)^2
dO^2

Where

** *K, T = Constants
** *dO^2 = cos^2(Latitude) dLongitude^2 + dLatitude^2

* *It may be "static, spherically symmetric, and
asymptotically flat" but I doubt that it satifies R_uv=0

So, you are not sure if that solution above does not satisfy R_uv =
0. *Well, Gisse plugged it into his software program and had verified
so a year ago. *There are actually infinite solutions to the field
equations that are static (time invariant), spherically symmetric, and
asymptotically flat (approaching flat spacetime at r = infinity).

And all of them describe the same manifold - as told to you a year ago
with the explicit construction of the coordinate transformation
between your "different" manifold and Schwarzschild.


Through Koobee Wublee’s theorem or the theorem of Generality below,
you can find any solution you wish the universe to be including the
accelerated expanding universe that still behaves like Newtonian at
relatively smaller distances.

ds^2 = c^2 T dt^2 (1 + 2 K / u) – (1 + 2 K / u) (du/dr)^2 dr^2 – (u +
K)^2 dO^2

Where

** *u(r) = Any function of r

For example,

1. *If (u = r), then you have the solution above.

2. *If (u = r^2 / K), you do not get the Newtonian inverse square law
for gravitation.

3. *If (u = (r^3 + K^3)^(1/3) – K), you get Schwarzschild’s original
solution.

4. *If (u = K / (K / r + r^2 / L^2)), you get the accelerated
expanding universe at cosmological scales and Newtonian physics at
astronomical scales.

5. *If (u = r – K), you get the Schwarzschild metric discovered by
Hilbert.

....and all of them can be converted into the other with simple
coordinate transformations rendering your argument idiotic.


since Schwarzchild proved that his solution is the ONLY
"static, spherically symmetric, and asymptotically flat"
solution that does!

Notice all the examples above are static and spherically symmetric.
All are asymptotically flat except (4). *Thus, Birkhoff’s theorem is
proven utter nonsense by example. *shrug

The schwarzchild solution is known to
be the ONLY solution to the spherical mass body problem.

Nonsense!

On Dec 31, 11:00 am, George Hammond wrote:

* *P.S....The fact that Schwarzchild's solution is the ONLY
spherically symmetric solution to the EFE is known as
"Birkhoff's Theorem".

Nonsense!

On Dec 31, 11:52 am, George Hammond wrote:

P.P.S..... Jorg Jebsen a Norwegian physicist actually
discovered and published Birkhoff's theorem two years
earlier but because he died in poverty of tuberculous in
Italy at the age of 34; when the famous mathematician George
Birkhoff later rediscovered the theorem without knowing of
Jebson's work it was named after him. *Alas poor Jebson.

Well, either Jebson and Birkhoff are proven to be very shallow minded
mathematicians, or Koobee Wublee is a great genius able to see through
these nonsense. *Well, I will leave it up to you to decide. *As you
know, yours truly is still a very humble scholar. *You, on the other
hand, need to stick to what you do best. *That is preaching to the
already religious SR/GR/Einstein worshippers. *shrug

On Dec 31, 10:00 pm, Eric Gisse wrote:
On Dec 31, 8:29 pm, Koobee Wublee wrote:

Nonsense! There is no coordinate transformation. You don’t
understand the mathematics involved. Go back to be a multi-year super-
senior, and get lost.

So, you are not sure if that solution above does not satisfy R_uv =
0. Well, Gisse plugged it into his software program and had verified
so a year ago. There are actually infinite solutions to the field
equations that are static (time invariant), spherically symmetric, and
asymptotically flat (approaching flat spacetime at r = infinity).

And all of them describe the same manifold - as told to you a year ago
with the explicit construction of the coordinate transformation
between your "different" manifold and Schwarzschild.

Through Koobee Wublee’s theorem or the theorem of Generality below,
you can find any solution you wish the universe to be including the
accelerated expanding universe that still behaves like Newtonian at
relatively smaller distances.

ds^2 = c^2 T dt^2 (1 + 2 K / u) – (1 + 2 K / u) (du/dr)^2 dr^2 – (u +
K)^2 dO^2

Where

** u(r) = Any function of r

For example,

1. If (u = r), then you have the solution above.

2. If (u = r^2 / K), you do not get the Newtonian inverse square law
for gravitation.

3. If (u = (r^3 + K^3)^(1/3) – K), you get Schwarzschild’s original
solution.

4. If (u = K / (K / r + r^2 / L^2)), you get the accelerated
expanding universe at cosmological scales and Newtonian physics at
astronomical scales.

5. If (u = r – K), you get the Schwarzschild metric discovered by
Hilbert.

...and all of them can be converted into the other with simple
coordinate transformations rendering your argument idiotic.

since Schwarzchild proved that his solution is the ONLY
"static, spherically symmetric, and asymptotically flat"
solution that does!

Notice all the examples above are static and spherically symmetric.
All are asymptotically flat except (4). Thus, Birkhoff’s theorem is
proven utter nonsense by example. shrug

The schwarzchild solution is known to
be the ONLY solution to the spherical mass body problem.

Nonsense!

On Dec 31, 11:00 am, George Hammond wrote:

P.S....The fact that Schwarzchild's solution is the ONLY
spherically symmetric solution to the EFE is known as
"Birkhoff's Theorem".

Nonsense!

On Dec 31, 11:52 am, George Hammond wrote:

P.P.S..... Jorg Jebsen a Norwegian physicist actually
discovered and published Birkhoff's theorem two years
earlier but because he died in poverty of tuberculous in
Italy at the age of 34; when the famous mathematician George
Birkhoff later rediscovered the theorem without knowing of
Jebson's work it was named after him. Alas poor Jebson.

Well, either Jebson and Birkhoff are proven to be very shallow minded
mathematicians, or Koobee Wublee is a great genius able to see through
these nonsense. Well, I will leave it up to you to decide. As you
know, yours truly is still a very humble scholar. You, on the other
hand, need to stick to what you do best. That is preaching to the
already religious SR/GR/Einstein worshippers. shrug

On Dec 31, 9:46*pm, Koobee Wublee wrote:
On Dec 31, 10:00 pm, Eric Gisse wrote:

On Dec 31, 8:29 pm, Koobee Wublee wrote:

Nonsense! *There is no coordinate transformation. *You don’t
understand the mathematics involved. *Go back to be a multi-year super-
senior, and get lost.

Liar.

r(R) = 2*R^2/(2*R-G*M)

The coordinate transformation is _right there_. Why don't you check
it?

[snip]

On Dec 31, 11:13 pm, Eric Gisse wrote:
On Dec 31, 9:46 pm, Koobee Wublee wrote:

Nonsense! There is no coordinate transformation. You don’t
understand the mathematics involved. Go back to be a multi-year super-
senior, and get lost.

Liar.

shrug

r(R) = 2*R^2/(2*R-G*M)

The coordinate transformation is _right there_. Why don't you check
it?

No, it is not. There is no merit to suggest a coordinate
transformation. You are just so ignorant. shrug

[snip]

You are just an Einstein worshippers’ prostitute. shrug

On Dec 31, 10:37*pm, Koobee Wublee wrote:
On Dec 31, 11:13 pm, Eric Gisse wrote:

On Dec 31, 9:46 pm, Koobee Wublee wrote:
Nonsense! *There is no coordinate transformation. *You don’t
understand the mathematics involved. *Go back to be a multi-year super-
senior, and get lost.

Liar.

shrug

r(R) = 2*R^2/(2*R-G*M)

You never did check those previous two times, either.


The coordinate transformation is _right there_. Why don't you check
it?

No, it is not. *There is no merit to suggest a coordinate
transformation. *You are just so ignorant. *shrug

You didn't even look. If you had looked, you would have noticed I was
pointing to the wrong line element.

Arrogant stupidity saves the day again.

Your "solution" is not a solution.

http://img58.imageshack.us/img58/8527/idiotcm5.png


[snip]

You are just an Einstein worshippers’ prostitute. *shrug

On Dec 31, 8:29*pm, Koobee Wublee wrote:
On Dec 31, 8:20 am, George Hammond wrote:



Koobee Wublee wrote:
Short memory? *You have been told that the following and the
Schwarzschild metric are ones among an infinite solutions to the
Einstein field equations that are static, spherically symmetric, and
asymptotically flat.

ds^2 = c^2 T dt^2 / (1 + 2 K / r) – (1 + 2 K / r) dr^2 – (r + K)^2
dO^2

Where

** *K, T = Constants
** *dO^2 = cos^2(Latitude) dLongitude^2 + dLatitude^2

* *It may be "static, spherically symmetric, and
asymptotically flat" but I doubt that it satifies R_uv=0

So, you are not sure if that solution above does not satisfy R_uv =
0. *Well, Gisse plugged it into his software program and had verified
so a year ago.

http://img58.imageshack.us/img58/8527/idiotcm5.png

It is not a valid solution of the vacuum field equations. Feel free to
rationalize why you are right even though you are wrong. Again.

Idiot.

[snip rest]