Re: PROOF: Schwarzschild Radius r=2*G*M/c^2 is wrong

On Sep 8, 2:38 pm, Koobee Wublee <koobee.wub...@xxxxxxxxx> wrote:
On Sep 8, 12:01 pm, "T.M. Sommers" wrote:

meda wrote:
It was 1916 !

The work was done in 1915, but not published until 1916.

Although this is a minor point in history, nevertheless it is still
important to keep things straight. So, let's see.

Hilbert orally presented the field equations on 11/20/15 at
Goettingen. Five days later on 11/25/15, Einstein did his oral
presentation in Berlin. In the meantime, Schwarzschild was already
sent to the eastern front as an officer trying to predict weather of
some sort. The written version of either presentation was not
available until the end of December. Are you serious suggesting
Schwarzschild only spent a few days deriving his original solution? I
do find that highly improbable.

You must be missing some part of the story because Schwarzschild's
letter to Einstein communicating his solution is dated 22 December
1915. He must have heard of the presentations soon after they took
place, obviously.

Also, Schwarzschild's original solution is orders of magnitude more
complex than the Schwarzschild metric.

He used a coordinate system which is uncommonly used today.

It was Hilbert who discovered
the Schwarzschild metric after Schwarzschild's death due to illness
unrelated to combat.

No, Schwarzschild wrote down what we would consider the standard form
of the solution already in his first letter to Einstein in 1915.

So, again, Schwarzschild never discovered the Schwarzschild metric.
Instead in 1916, he discovered another solution that is also static,
asymptotically flat, and spherically symmetric, but Schwarzschild's
solution does not manifest black holes.

We've been through this before. What you wrote above is incorrect.
There can be only one solution in the spherically symmetric vacuum
case in principle, so Schwarzschild's is the one. (That "another
solution" you mention is the standard solution merely rewritten in
different coordinates and its "not manifesting" the singularity is
only due to restricting the domain).

However, I do think it is very highly probable that Hilbert had
already had the Schwarzschild metric in 1915. In fact, he might had
the field equations already while Einstein was celebrating his
understanding of Newtonian gravity by rediscovering the principle of
equivalence.

Read the research based on Einstein's and Hilbert's archives. The
story is there, no need to guess (wrongly).

--
Jan Bielawski

.

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