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Eddington-Finkelstein, Regge-Wheeler, Kruskal-Szerekes coordinates

  1. Mar 22, 2010 #1
    [STRIKE][/STRIKE]how do Eddington-Finkelstein, Regge-Wheeler and Kruskal-Szerekes coordinates work? i mean, what is their run, for example, what is the idea of the [tex]2M\ln{\left|\frac{r-2M}{2M}\right|}[/tex] part of [tex]r^*=r+2M\ln{\left|\frac{r-2M}{2M}\right|}[/tex]?

    an issue is also the correct form of the Kruskal-Szekeres coordinates. in wikipedia, there are oppositional definitions of [tex]v[/tex] and [tex]u[/tex]: http://en.wikipedia.org/wiki/Kruskal%E2%80%93Szekeres_coordinates" [Broken].
    for [tex]r\leq2M[/tex] the definition for [tex]v[/tex] is either [tex]T = \left(\frac{r}{2GM} - 1\right)^{1/2}e^{r/4GM}\sinh\left(\frac{t}{4GM}\right)[/tex] or [tex]T = \left(\frac{r}{2GM} - 1\right)^{1/2}e^{r/4GM}\cosh\left(\frac{t}{4GM}\right)[/tex].
    Last edited by a moderator: May 4, 2017
  2. jcsd
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