1. Jun 26, 2016 #1

   t_r_theta_phi

   

   What is the metric for the spacetime around an infinitely thin, infinitely long, uniform rod? Could it be written in the form
   
   ds² = A(r)dt² + B(r)dr² + C(r)dh² + r²dθ²
   
   where h is the coordinate along the rod and r is the radial coordinate, or would it be something more complicated?

    

   t_r_theta_phi, Jun 26, 2016
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3. Jun 27, 2016 #2

   Markus Hanke

   

   Maybe I'm wrong, but my first impulse would be to model this as a special case of a Tipler cylinder, with small radius and zero angular momentum, in which case your ansatz looks pretty good. Let's wait and see what the experts say

    

   Markus Hanke, Jun 27, 2016

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