Re: About GR (kst)
- From: "Ken S. Tucker" <dynamics@xxxxxxxxxxxx>
- Date: 22 Jul 2005 14:45:14 -0700
Daryl McCullough wrote:
> Ken S. Tucker says...
> >
> >You and I are astronauts, sitting on the pad
> >and the count-down begins, 5,4,3,2,1...blast-off!
> >at t=1.
> >
> >The g-meter goes from 1g to 2,3,4,5g and stabilizes.
> >
> >A mechanical deformation heated the space-craft
> >as it strained under the effects of the acceleration,
> >the space-craft was heated and an extra infared
> >energy was produced and emitted.
> >
> >You look out the window and find you're still
> >sitting on the pad......why?
> >
> >Answer:
> >At t=1 the Earth's density increased by factors,
> >1,2,3,4,5, hence it's mass increased likewise
> >while the volume and radius remained constant.
>
> It is impossible, according to GR, for the Earth's
> mass to increase without matter flowing to the Earth from
> elsewhere. So your scenario is inconsistent with GR.
> Something that might work would be to imagine the
> Earth surrounded by a spherically symmetric shell of
> radiation. The radiation could then be absorbed by
> the Earth, which would give the effect of the Earth's
> mass increasing.
>
> >Normally GRist's use G_uv=0 and Schwart's Solution,
>
> In the case of the Earth, G_uv is not zero *inside* the
> Earth. G_uv is roughly proportional to the mass density
> of the Earth.
>However, *outside* the surface of the Earth,
> G_uv drops to zero (or approximately zero).
Daryl, I won't argue with you, if you choose that
belief in view of my post. there is nothing I will
do to change the course of your intellect.
> Mathematically, this is analogous to the case for Newtonian
> gravity: the gravitational potential U satisfies
>
> grad^2 U = k rho
> inside the Earth and
> grad^2 U = 0
> outside the Earth
>
> (where rho is the matter density, and k is a constant)
I suppose boundary's won't help,
good bye
Ken
.
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