On May 12, 11:24 pm, Koobee Wublee wrote:
On May 12, 11:16 pm, Eric Gisse wrote:

On May 12, 9:55 pm, Koobee Wublee wrote:
You continue to say "infinite number" like that's supposed to have any
meaning.

So, you don’t understand what infinity represents.

There is an infinite number of coordinate systems

Yes. shrug

that the Schwarzschild solution can be projected on,

The Schwarzschild metric only applies to the spherically symmetric
polar coordinate system and nothing else.

No, that's false. It's exactly like saying "the vector pointing to the
North Star applies only to the spherically symmetric polar coordinate
system and nothing else".

The same North-Star-pointing vector has different component triplets
in different coordinates. Do you agree? Tensors of rank higher than 1
are exactly the same way.

So, you do not understand
the Schwarzschild metric, either.

like any other metric.

Other metric as a solution to the Einstein field equations also only
applies to the spherically symmetric polar coordinate system and
nothing else,

That's false. Would you say that a vector field (say, velocity field
of a fluid) "only applies to" a particular system?

--
Jan Bielawski