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# Is GR Internally Inconsistent?

## Is GR Internally Inconsistent? - Physics Forum

### Is GR Internally Inconsistent? - Physics Forum. Discuss and ask physics questions, kinematics and other physics problems.

#1
07-26-2003, 05:05 PM
 tadchem Guest Posts: n/a
Is GR Internally Inconsistent?

"Daniel G. Emilio" <[Only registered users see links. ]> wrote in message
news:fdd71043.0307260824.7fb607e6@posting.google.c om...

<snip>

Three-space curvature is a vector field. When two components contributing
to the vector are exactly equal in magnitude AND exactly opposite in
direction, they will cancel each other. This creates what is called a
"saddle point" where the curvature along one axis is directed away from the
point, while the curvature in the plane perpendicular to that axis is
directed *towards* that same point.

It does, but only at EXACTLY the saddle points. For a mutually orbiting pair
of bodies there are 5 such points called the "Lagrange points" and
designated L1, L2, and L3 (points collinear with the bodies) and L\$ and L5
(60° ahead and behind in the orbit).
[Only registered users see links. ]

IOW, the space is "flat."

There is an old exercise in applied analytical geometry using calculus in
which the student demonstrates that the net gravitational attraction inside
a uniform hollow sphere is zero *at all points,* a proof often ignored by
the "hollow earthers". I encountered it in my text back in the 60's.

It is. Try playing catch on a carousel sometime.

At the right place, yes.

No it isn't. Two particles of different masses will "cancel" at a different
place. When you do the calculus for differential masses in a spherical
shell you will find that the inverse-square law of attraction leads to whole
sections "cancelling out" the attractions from other whole sections that are
of different sizes and at different distances.

Tom Davidson
Brighton, CO

 Tags inconsistent , internally

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