sci.physics.relativity

Koobee Wublee says...

>That trivial but very stupid question

There are no stupid questions. If the question is so trivial,
why can't you answer it?

>bares no relevance to our discussions on the relationship
>between the invariant geometry and the
>choice of coordinate system.

On the contrary, your lack of understanding of how to compute
areas is very much relevant to your lack of understanding of
the Schwarzschild solution. In particular, it relates to the
question that came up in a discussion of black holes:

Suppose we choose coordinates such that the line
element is given by:

ds^2 = 1/(1+2GM/r) dt^2 - (1+2GM/r) dr^2
- (r + 2GM)^2 dtheta^2
- (r + 2GM)^2 sin^2(theta) dphi^2

What is the surface area of the 2D surface consisting
of all points such that r=R and t=T (with R > 0)?

You have consistently gotten the answer to this question
wrong. If you actually knew how to compute areas in terms
of the metric tensor, you would get the answer right.

--
Daryl McCullough
Ithaca, NY