Questions on the Kerr metric cont'n

Questions on the Kerr metric cont'n
relates to postings done in the thread
"Questions on the Kerr metric" dated
Jan 7 2003, by Ken S. Tucker...

Rather than specifically criticizing the Kerr Solution we
can consider a possible alternative approach.

Beginning with a fluid sphere (like the Earth) and subjecting
it to rotation produces the well known ellipsoidal budge
at the equator.
By surveying the surface we can tell it's an ellipsoid and
we conclude the Earth is rotating, then along the lines of
the Kerr metric find how rotation affects the metric.

Alternatively, using the Equivalence Principle (EP), we may
substitute an appropriate toroidal shaped mass above and
around the equator, (something like Saturn's rings though
I'm not suggesting those rings are responsible for the entire
bulge of Saturn but certainly some) that would cause the
same ellipsoidal bulge without rotation, but by gravitation,
so a survey carried out on the surface would not distiguish
the ellipsoidal effect from being inertial or gravitational.

See AE's GR1916 Chapter 2, "The Need for an Extension..."
(pg 112 in Dover's Relativity) for more insight.

The alternative solution to Kerr's is using the toroidal mass
placed in the field to eliminate rotations, and would arrive
at the same metric if the EP is applied by replacing the
centrifugal inertial effect with a purely gravitation energy
density distribution to cause the ellipsoid.

The "fall-out" of that analysis eliminates rotation and along
with it "frame-dragging", because using pure gravitation the
same ellipsoid solution, again trusting EP, is static and is
simplifying.
Best Regards
Ken S. Tucker

.

Relevant Pages

  • Re: Alternative to Kerr metric, (kst).
    ... Beginning with a fliud sphere (like the Earth) and subjecting it to ... rotation produces the well known ellipsoidal budge at the equator. ... By surveying the surface we can tell it's an ellipsoid and we ... rotation, but by gravitation, so a survey carried out on the surface ...
    (sci.physics.relativity)
  • Re: Alternative to Kerr metric, (kst).
    ... rotation produces the well known ellipsoidal budge at the equator. ... By surveying the surface we can tell it's an ellipsoid and we ... rotation, but by gravitation, so a survey carried out on the surface ...
    (sci.physics.relativity)
  • Re: Alternative to Kerr metric, (kst).
    ... Beginning with a fliud sphere (like the Earth) and subjecting ... the Kerr metric find how rotation affects the metric. ... same ellipsoidal bulge without rotation, but by gravitation, ... density distribution to cause the ellipsoid. ...
    (sci.physics.relativity)
  • Re: Alternative to Kerr metric, (kst).
    ... Beginning with a fliud sphere (like the Earth) and subjecting it to ... rotation produces the well known ellipsoidal budge at the equator. ... surveying the surface we can tell it's an ellipsoid and we conclude ... effect with a purely gravitation energy density distribution to cause ...
    (sci.physics.relativity)
  • Re: Gravitation eines rotierenden Systems
    ... gravitiert eine rotierende Kugel mehr als eine gleiche Kugel, ... Gravitation in allen Bezugssystemen gleich sein muß. ... der Erregungshintergrund Deiner Frage nach Rotation. ... IVK draufzugehen, das Deinesgleichen mit der ...
    (de.sci.physik)