What came first Gravity or Curvature

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SUMMARY

The discussion centers on the relationship between gravity and spacetime curvature, emphasizing that gravity results from the curvature of spacetime as described by General Relativity (GR). It establishes that mass influences the geometry of spacetime, and vice versa, creating a complex interplay that complicates the solutions to Einstein's equations. The conversation also touches on the formation of spherical shapes in celestial bodies and the role of dark matter in the structure of galaxies, particularly spiral galaxies, which may appear non-spherical but could be influenced by dark matter's distribution.

PREREQUISITES
  • Understanding of General Relativity (GR)
  • Basic knowledge of spacetime curvature
  • Familiarity with the concept of mass and gravity
  • Awareness of dark matter and its implications in astrophysics
NEXT STEPS
  • Study Einstein's field equations in General Relativity
  • Explore the role of dark matter in galaxy formation
  • Investigate the properties of interstellar gas and its behavior in curved spacetime
  • Learn about the dynamics of spiral galaxies and their structure
USEFUL FOR

Astronomers, physicists, and students of astrophysics interested in the fundamental concepts of gravity, spacetime, and the formation of celestial bodies.

AKT
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I understand that Gravity is the result of spacetime curvature. All planets are spherical(almost). Planets are spherical because of gravity (partially true at least). So, seriously, what came first? If we have just mass of gas - how would it become spherical -if gravity were only because of the geometry, i.e, gravity would come into picture only after the mass of gas takes the shape of sphere?
 
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GR tells us the relationship between the geometry of spacetime and the motion of matter in it. It's not possible in general to specify one of those things and then determine the other thing from it. They affect each other. If you have found a solution already, and change the motion of matter slightly, this gives you a new geometry, which makes matter move in a different way, which changes the geometry again, which...you get the idea. This is the main reason why it's so hard to find solutions of Einstein's equation.
 
Interstellar gas would float around in relatively "empty" space and as more particles approach one another spacetime gradually curves...equivalently, one could say spacetime is curved ever so slightly by gas molecules and as they drift and are "attracted" to one another they move along a curved spacetime curvature which tends to bring them together.

on the other hand, spiral galaxies are very common and do not represent 'spherical" formation shapes...but maybe when dark matter is accounted for, the total IS rather spherical...anybody know?? Last illustration I saw pictured dark matter as spider web type formations in space.
 

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