Re: E. Noether contra B. Carter

Liste des GroupesRevenir à p relativity 
Sujet : Re: E. Noether contra B. Carter
De : film.art (at) *nospam* gmail.com (JanPB)
Groupes : sci.physics.relativity
Date : 22. Sep 2024, 17:18:11
Autres entêtes
Organisation : novaBBS
Message-ID : <a0471517e47f3b15422996f86e638a0f@www.novabbs.com>
References : 1 2 3 4 5
User-Agent : Rocksolid Light
On Sat, 21 Sep 2024 6:01:55 +0000, The Starmaker wrote:

The Starmaker wrote:
>
JanPB wrote:
>
On Thu, 19 Sep 2024 7:31:58 +0000, The Starmaker wrote:
>
JanPB wrote:
>
[...]
>
Your math is correct but doesn't seem to have any meaning.
>
No geometric meaning (which I was hoping for).
>
i see, you have your own approach to doings things no one else does..
>
Also the P isn't standard and needs more clarification
>
K = < r^2 gamma' - rho^2 P(gamma') , gamma' >
OK, fair point.  Surprisingly perhaps, the Kerr spacetime has
an orthogonal moving frame almost everywhere (away from the
usual suspects like the singular set and the horizons):
    e0 = (r^2 + a^2)@/@t + a @/@phi
    e1 = @/@r
    e2 = @/@theta
    e3 = a sin^2(theta) @/@t + @/@phi
e2 and e3 are always spacelike while  e0, e1  are always of
the opposite causal character, so  e0  and  e1  span a
Minkowski signature plane, called the principal plane.
The  P  I used above denotes the orthogonal projection onto
that plane.
BTW, a geodesic is called principal if its tangent vector
lies in the principal plane.
EXERCISE. Let  gamma  be a timelike geodesic.  Then:
    K = 0  if and only if  gamma  is a principal in
    the equatorial plane (theta = pi/2).

further more, there are too many errors for me to list them all...
There are no errors.

you finally reached ...kooksville.
Talk is cheap.
--
Jan

Date Sujet#  Auteur
19 Sep 24 * E. Noether contra B. Carter10JanPB
19 Sep 24 +* Re: E. Noether contra B. Carter3JanPB
19 Sep 24 i`* Re: E. Noether contra B. Carter2Ross Finlayson
20 Sep 24 i `- Re: E. Noether contra B. Carter1Ross Finlayson
19 Sep 24 `* Re: E. Noether contra B. Carter6JanPB
22 Sep 24  `* Re: E. Noether contra B. Carter5JanPB
22 Sep 24   +- Re: E. Noether contra B. Carter1JanPB
22 Sep 24   `* Re: E. Noether contra B. Carter3Ross Finlayson
23 Sep 24    `* Re: E. Noether contra B. Carter2JanPB
23 Sep 24     `- Re: E. Noether contra B. Carter1Ross Finlayson

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