Wallsy said:
Hi all,my second question is this.Why don't galaxies obey gravity? In our solar system the closer to our sun the planet is the faster it rotates.So the outer planet takes much longer for a solar year.
When we look at galaxies this gravitational law doesn't apply.The outside stars spin at the same rate as the inside stars.
My question is why?
Apologizing in advance for a long, drawn out and perhaps at times redundant and confusing, attempt to question a potential previously unaddressed contribution to the issue being raised in the OP... And without attempting to suggest this is an answer.., or even valid issue, treat the following more as a question of whether frame dragging itself has any persistent affect on spacetime, that might contribute to the observed dynamics at issue in the OP.
Without comment on the unchallenged accuracy of the above statement (I am sure a confusing qualifier), even accepting that stars distant from the center of a galaxy, orbit the galactic center at velocities which seem too exceed orbital velocities predicted from a strictly Newtonian view of gravity, even an initial evaluation within the context of general relativity, a question that has puzzled me from some time has been, how might the frame dragging effect of a mature gravitational system affect the observed orbital velocities, when the system as a whole is being evaluated/observed from a frame of reference external to the, in this case galaxy? Is the affect of frame dragging on spacetime itself persistent?
The issue being we observe the orbital velocities of stars relative to a galactic center from outside the involved gravitational system. At the same time we have very little mature information about just what the affect of frame dragging in all of its manefestaions would have on the dynamics of the curvature of spacetime associated with the galaxy as a whole.
From a frame of reference outside the galactic gravitational system, we cannot distinguish the difference between what portion of a specific star's orbital velocity is the result of a frame dragging effect of the involved spacetime, which would be unobservable from within the galactic system and how much is actually equivalent to the gravitational dynamics we observe and understand when we plot out the orbits of planets in a solar system.. where the frame dragging effect on spacetime is either relatively insignificant or unobservable.
.. How much of the observed velocities of stars near the outer reaches of a galaxy is due to the fact that spacetime itself is also rotating with the galaxy. Keep in mind that while we have with the Gravity Probe B experiment (and others) verified frame dragging associated with the angular momentum of both the Earth and the sun, there is also an as yet (directly) unverified predicted linear frame dragging and that, we as yet have no understanding that demonstrates whether either or both aspects of the frame dragging effect have persistent affects on spacetime.
If spacetime itself orbits a galaxy, any affect it has on the velocity of a star's orbit, when observed from a frame of reference outside of the galactic gravitational system, would be indistinguishable from a planet's orbital velocity absent the contribution which might be attributed to the orbiting spacetime. And if spacetime itself orbits the galaxy, at least some portion of its orbital velocity would have no influence on the gravitational dynamics governing the orbits of any massive object within the galactic system. Basically we have two frames of reference; one external to the galactic system where any orbital dynamics/velocity of the involved spacetime as a whole is observable and one from within the galactic system where any orbital dynamics of spacetime as a whole, would be unobservable and have no affect on the gravitational interaction between the involved gravitational masses.., within the galactic system?