Talk:Carter constant

Interpretation

This article could greatly use a physical interpretation of Carter's constant, the other three constants being well-known: energy, angular momentum, and rest mass. If no good interpretation exists (unlikely), some brief discussion of why this is do would be very useful. Njerseyguy (talk) 16:32, 26 July 2011 (UTC)[reply]

I suggest pseudomass, not of the black hole itself, but of the particular particle it is the Carter constant of the geodesic path of. (:+{)} Drwonmug 02:59, 15 February 2023 (UTC) — Preceding unsigned comment added by Drwonmug (talk • contribs)

brackets

K^{\mu \nu }=2\Sigma \ l^{(\mu }n^{\nu )}+r^{2}g^{\mu \nu }

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I guess, the brackets in the upper index are false. Ra-raisch (talk) 11:29, 5 September 2019 (UTC)[reply]

I take back what I said above, but

THIS IS A VERY INTERESTING ARTICLE BUT IT COULD USE SOME DOCUMENTATION/REFERENCES.

Carter's constant has apparently become A THING sometime after Hawking/Penrose ? Please elaborate! (:+{)} Drwonmug 03:05, 15 February 2023 (UTC) — Preceding unsigned comment added by Drwonmug (talk • contribs)

Noether theorem

The article says "Noether's theorem states that all conserved quantities are related to spacetime symmetries" which is clearly wrong. It is the opposite. All continuous symmetries produce a conserved quantity, but conserved quantities are not always related to symmetries. — Preceding unsigned comment added by 190.101.208.243 (talk) 14:39, 15 October 2021 (UTC)[reply]

Noether's theorem provides a one to one correspondence between continuous symmetries of a system described by a stationary action and conserved quantities of that system. All conserved quantities are related to symmetries because the canonical transformation generated by using the Noether charge as the generator of the transformation are continuous symmetries of the system. All continuous symmetries produce a conserved quantity (again, the generator of the transformation). The given statement is incorrect because conserved quantities are not always related to spacetime symmetries, they are related to phase space symmetries. The Carter constant, treated as a generator of a canonical transformation still generates a symmetry of the phase space of trajectories in a Kerr metric. Physicalisms (talk) 18:22, 10 March 2023 (UTC)[reply]

dimension of units

Can anyone explain the dimension of units, since the formula gives a mix. I guess the normal dimension should be J·s. Of course momentum can be converted to angular momentum by multiplication with perpendicular distance, but it is not quite convincing to fit this into the formula, since it could have been written Lθ straight away. I saw an article derivng the formula from pz, pθ and pr, but this would be leaving the Kerr parameter a completely. Ra-raisch (talk) 00:42, 4 November 2022 (UTC) pθ in this formula is an angular momentum, so the answer is easy. Ra-raisch (talk) 16:06, 26 November 2022 (UTC)[reply]