Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Curvature of spacetime inside hollow sphere

  1. Aug 20, 2015 #1
    If mass curves spacetime in its vicinity, then consider the following case-
    Take a heavy hollow lead sphere which has 2 smaller lead balls placed in it. The Outer Sphere will curve spacetime around itself and thus will have its own gravity, but what about the 2 balls placed in it? The spacetime already have been curved by the outer sphere, then how will the two smaller balls have their own gravity?
     
  2. jcsd
  3. Aug 20, 2015 #2

    A.T.

    User Avatar
    Science Advisor
    Gold Member

    Space time geometry inside the big shell with the smaller balls is different than without them.
     
  4. Aug 20, 2015 #3

    Nugatory

    User Avatar

    Staff: Mentor

    Outside too, of course. (A.T. already knows this, I'm just not sure that OP does).
     
  5. Aug 21, 2015 #4
    The geometry of spacetime is taken invariant in General Relativity, so how can it be different..
     
  6. Aug 21, 2015 #5

    A.T.

    User Avatar
    Science Advisor
    Gold Member

    Where did you get that idea from?
     
  7. Aug 21, 2015 #6

    PeterDonis

    User Avatar
    2016 Award

    Staff: Mentor

    "Invariant" means "the same for all observers" (or in all frames of reference). It does not mean "the same for all possible distributions of matter and energy". If you change the distribution of matter and energy (for example, by putting two smaller lead balls inside a hollow lead sphere, instead of just having the hollow lead sphere with nothing inside it), you change the geometry of spacetime.
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook




Similar Discussions: Curvature of spacetime inside hollow sphere
  1. Spacetime curvature (Replies: 13)

  2. Curvature of Spacetime (Replies: 4)

  3. Spacetime curvature (Replies: 47)

  4. Curvature of Spacetime? (Replies: 40)

Loading...