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

D'Inverno page 226 (tidal force on freely falling particle )

  1. Apr 7, 2009 #1
    Hi every body,
    I am new to PF so I apologise if a similar thread already exists.
    I am reading d'Inverno Introducing Einstein's Relativity. On page 226 describes tidal forces on freely falling particle in Schwarzschild metric, I tried to deduce step by step but I can't get final three equations !?
    Starting from relativistic equations of deviation how can I get differential equations of spatial motion ?!
     
  2. jcsd
  3. Apr 7, 2009 #2

    George Jones

    User Avatar
    Staff Emeritus
    Science Advisor
    Gold Member

    Welcome to Physics Forums!

    It's not completely trivial. Notice that d'Inverno writes "see Misner, Thorne, and Wheeler, for further details."

    The orthonormal frame that d'Inverno gives on page 225 is not the orthonormal frame of the freely falling observer, it is the orthonormal frame of a hovering observer. The idea is to transform the Schwarzschild components of the Riemann tensor to frame of the hovering observer, and then to boost to the frame of the freely falling observer. See pages 821-822 of MTW.

    I wrote a little about the hovering and freely falling frames in

    https://www.physicsforums.com/showthread.php?p=848684#post848684.
     
    Last edited: Apr 7, 2009
  4. Apr 7, 2009 #3
    Thanks a lot for your help George !
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook




Similar Discussions: D'Inverno page 226 (tidal force on freely falling particle )
  1. Schutz, page 226 again (Replies: 4)

Loading...