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Spaghettification inside a spherically symmetric black hole

  1. Apr 29, 2015 #1
    I need to find the vectors for time and radius that describe a space-like 4-acceleration of an observer falling radially into a spherically-symmetric black hole.


    Previous to this question, the values of the real time derivatives for time and radius were derived to be:
    dt/dτ = (1-2m/r)-1

    and

    dr/dτ = -(2m/r)1/2

    In order to form the vectors needed for 4 acceleration, is it possible to differentiate these equations with respect to τ(real time) again? I am stumped!

    http://imgur.com/gallery/2i0PbnB/new [Broken]
     
    Last edited by a moderator: May 7, 2017
  2. jcsd
  3. Apr 29, 2015 #2
    Here is the question in more detail. Im on part 2
     

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