Gravitomagnetic explanation of Dark Matter

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Discussion Overview

The discussion centers around the concept of dark matter (DM) and its potential explanation through gravitomagnetic effects, as well as the implications of general relativity (GR) on the understanding of gravity in galaxies. Participants explore various models and theories related to DM, including Modified Newtonian Dynamics (MOND) and the limitations of current gravitational models.

Discussion Character

  • Exploratory
  • Debate/contested
  • Technical explanation

Main Points Raised

  • Some participants suggest that DM may arise from faulty assumptions in Newtonian gravity when applied to galaxies, where the 1/r² formula does not hold, particularly in the context of GR.
  • Others mention that the models discussed are not purely Newtonian but involve GR in the weak field limit, which includes corrections not present in Newtonian gravity.
  • A participant notes that while GR corrections might explain galaxy rotation curves, demonstrating this remains a challenge due to the lack of exact solutions.
  • Some participants reference the work of Deur and express uncertainty about its mechanisms, while others assert that mainstream views suggest the gravitational field from baryonic matter is too weak to produce the effects claimed in some papers.
  • There is mention of MOND as a competing theory, but some participants clarify that the original post specified the use of standard GR, which distinguishes it from MOND.

Areas of Agreement / Disagreement

Participants express a range of views on the validity of different models explaining dark matter, with no consensus reached on the effectiveness of gravitomagnetic effects or the applicability of MOND. The discussion remains unresolved regarding the best explanation for dark matter phenomena.

Contextual Notes

There are limitations in the discussion regarding the assumptions made in the models, the dependence on specific definitions of gravity, and the unresolved mathematical steps in applying GR to galaxy dynamics.

DaveC426913
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TL;DR
There was a long thread around here (which I can no longer find) about DM being explained by gravitomagnetic effects. Is there a 25 words or less explanation?
I was reading a thread on my phone that was reviewing a paper about DM being explainable by gravitomagnetic effects. Now I can't find it in any search. It was on its fourth page - so at least 80 posts over at least two years.

Anyway, what I wanted to ask was for a description that a layperson might be able to give another layperson about DM.

My tentative conclusion was that:

DM is (so this paper claims) essentially a faulty assumption in how gravity in a spatially-extended object such as a galaxy ought to behave in a Newtonian model. i.e. the 1/r^2 formula is a good approximation in other cases but, here, it just does not apply. When the gravity curve is calculated using GR, it does not work out so simply as 1/r^2, - it tends to level off to a plateau near the edges of such an object. That's just The Way Gravity Works in GR. I also got the impression that an exact solution using GR formulae is impractical, which may be why this solution has been elusive.

Am I close enough for horseshoes and hand grenades?
 
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DaveC426913 said:
DM is (so this paper claims) essentially a faulty assumption in how gravity in a spatially-extended object such as a galaxy ought to behave in a Newtonian model. i.e. the 1/r^2 formula is a good approximation in other cases but, here, it just does not apply. When the gravity curve is calculated using GR, it does not work out so simply as 1/r^2, - it tends to level off to a plateau near the edges of such an object. That's just The Way Gravity Works in GR. I also got the impression that an exact solution using GR formulae is impractical, which may be why this solution has been elusive.
This is a reasonable quick summary of the general idea behind the paper discussed in the thread I linked to in post #3, and similar ones we have had in the past on PF. The work of Deur, in particular (which is mentioned in that thread), has been the subject of quite a bit of PF discussion. The only correction I would make is that the models used are not using straight Newtonian gravity: Newtonian gravity using the visible matter in galaxies is known and agreed by all participants in the debate to not give the right answer for galaxy rotation curves. The models used are GR models in the weak field limit, which is often referred to as the "Newtonian" limit but is known to include corrections not present in Newtonian gravity (for example, the extra precession of the perihelion of planets).

The major caveat, of course, is that claiming that the GR corrections are large enough even in the weak field limit to explain the actual galaxy rotation curves using just the visible matter in some cases (basically, cases like spiral galaxies which are very far from spherical symmetry) is one thing: actually demonstrating it is another. It is true that exact solutions are not known for such cases, so any investigation has to use approximations and numerical methods. It is also true, however, that GR has well tested approximation schemes and numerical methods that work well in, for example, the solar system, and these schemes do not appear to support the kinds of claims being made in papers like the one in the above thread.
 
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anorlunda said:
I think you are asking about Modified Newton Dynamics, or MOND for short.
I don't think so, because the OP specified that just standard GR would be used, whereas MOND is a modified theory of gravity, not standard GR. (In fact there is no well accepted relativistic version of MOND at all.)
 
Gravitomagnetism is the preferred explanation of G.O. Ludwig. One of his papers got a lot of press last year.

I don't quite get what Deur's mechanism is, but I don't think it's gravitomagnetism.

The mainstream view (exemplified by Ciotti in post #44 in the thread) is that in general relativity, the gravitational field produced by a galaxy's baryonic matter is far too weak at the galactic edge for any such effects to be produced, so there has to be a mistake in papers like these.
 
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