- #1
Philosophaie
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I would like to have a Star orbiting a Schwarzschild Black Hole if the the velocity and position vectors in the galaxy are given. The only thing that comes to mind is the Newtonian method.
The velocity and position vectors of the Star are:
[tex]v = {v_x, v_y, v_z)[/tex]
[tex]r = {x, y, z)[/tex]
where (no acceleration)
[tex]x = v_x * t +x_0[/tex]
[tex]y = v_y * t +y_0[/tex]
[tex]z = v_z * t +z_0[/tex]
convert to spherical
What is the method for GR?
Note:The Schwarzschild metric produces a non zero Riemann Tensor and a Ricci Flat as you well know.
The velocity and position vectors of the Star are:
[tex]v = {v_x, v_y, v_z)[/tex]
[tex]r = {x, y, z)[/tex]
where (no acceleration)
[tex]x = v_x * t +x_0[/tex]
[tex]y = v_y * t +y_0[/tex]
[tex]z = v_z * t +z_0[/tex]
convert to spherical
What is the method for GR?
Note:The Schwarzschild metric produces a non zero Riemann Tensor and a Ricci Flat as you well know.
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