The thread question

“Is there any influence of dark matter on compact stellar objects?”

is to some extent clarified in the Shevchenko-Tokarevsky’s Planck initial cosmological model in

https://www.researchgate.net/publication/383127718_The_Informational_Physical_Model_and_Fundamental_Problems_in_Physics, section 5. “Cosmology”,

- so more, including what with a well non-zero probability “dark matter” is, see the section and in it the sub-section 5.3. What Is the “Dark Matter”.

If briefly relating to the question: “dark mat5ter” really is indeed cold, and so DM particles are large mass particles [rather probably Planck mass particles] that interact with all particles only by the fundamental Nature Gravity force [in Matter practically [i.e. besides fundamental Forces mediators] everything gravitationally attract practically everything],

- and so, since Gravity Force is extremely weak Force, the particles move around galaxies centers through own singled orbits without direct interactions with other matter’s particles, including in stars, having at that rather small [i.e. lesser the escape velocities values speeds ~ thousands km/s] and so forming galaxies DM haloes.

Correspondingly, though stars are practically completely transparent for DM particles, if on some distance from a star speed of some DM particles is lesser that this surface escape velocity, such particles can be captured by the star, and move in singled orbits around it.

More see last passages in the sub-section 5.3 [though the passages contain a small flaw: in the text radius “Rin , inside Sun” really means only minimal radius of a star provided the same star matter density, but this flaw is quite inessential in this case].

If a star is rather old, it can gather tangible DM halo; and, if such star rotates, it will lose its angular momentum transmitting it to the DM particles. For ordinary stars that is inessential, however for the extremely compact cosmological objects case, including neutron stars and dwarf stars, which rotate with large rates, the caused by DM rates slowing down rather probably can be tangible and measured by some way, say at observing some pulsars.

Cheers

As far as I know at the moment, dark matter does not interact electroweakly. This follows from the fact that it is invisible. So there is no equation of state. Dark matter behaves like dust, it does not have the elasticity of photon gas. The gravitational potential of the dense compact objects is extremely negative in their central regions. The escape velocity of compact objects is of the order of the speed of light c. Is there any estimate of the possible density of dust moving chaotically at very low speeds (galactic escape velocity of the order of 200 km/sek) in the regions of huge escape velocities of the order of c? I can imagine the concentration of axion dust-like particles in the central regions. In this case, the density of the dust-like particles should be added to the density of the neutrons and produce a pure graviation collapse in the tiny central region. This will immediately cause the total collapse of the compact object. It would be interesting to see an example of such a calculation. I think the classic text of Landau-Lifshiz "Theory of Fields", Volume 2 should be sufficient to do the calculations. It would be nice to hear your response.

Dear Vladimir ,

- since the following principal question on this subject seems is

“…Dark matter behaves like dust... The gravitational potential of the dense compact objects is extremely negative in their central regions. The escape velocity of compact objects is of the order of the speed of light c. Is there any estimate of the possible density of dust moving chaotically at very low speeds (galactic escape velocity of the order of 200 km/sek) in the regions of huge escape velocities of the order of c? I can imagine the concentration of axion dust-like particles in the central regions. In this case, the density of the dust-like particles should … produce a pure graviation collapse in the tiny central region. ….”

- I can only note, that really any particles that have rest mass lesser at least ~ 1 eV cannot compose any compact gravitationally coupled system, in Landau-Lifshitz "Theory of Fields", only “ordinary” / “classic” dust is considered where dust particles have masses, say, ~ 1mcg, i.e. many-many GeVs. Really lesser masses, say, molecular clouds, aren’t compact, and, as that quite naturally in accordance with mechanics is reallyobserved, only can in a rather long time produce only ordinary compact objects after some extreme impacts – stars and “gas giants”.

Any particles that are created at real particles interactions have real energies well more 1eV, and so really light particles, say, practically completely all neutrinos, are created with Lorentz factors well more 10, i.e. move with speeds ~ c,

- what is well more real escape velocities of any real, including cosmological, object [really even on the event horizon of any “black hole” surface escape Lorentz factor is ~ 2, that in the GR the escape velocity is c really isn’t correct; what really is the fundamental Nature Gravity force and what happens in this case see the SS&VT Planck scale initial Gravity model in

https://www.researchgate.net/publication/383127718_The_Informational_Physical_Model_and_Fundamental_Problems_in_Physics, section 6. “Mediation of the fundamental forces in complex systems” ], and so principally cannot to form even any stable halo , again, even around some already existent compact large attractive masses.

That is true, of course, for “axions”, even if they would really exist, which have [in the Standard Model] mceV rest masses; though yeah, there exist rather numerous mainstream publications where axions are considered as “dark matter particles”; but now that in the mainstream “fundamental physics” isn’t an unique strange thing…

Cheers