|Apr9-08, 04:20 PM||#1|
killing vector help
* indicates multiply (or 'operate on'), d_c is partial derivative w.r.t. c
tensor indices have always troubled me, my problem this time is im trying to prove a vector E = (-y*d_x +x*d_y) is a killing vector after having computed the connection coefficients for 2-d riemannian manifold, diagonal metric from ds^2 = f(x,y)*(dx^2 + dy^2)
Im looking at the Lie derivative statement of Killing's eqns,
E^c*d_c*g_ab - g_ac*d_c*E^b - g^cb*d_c*E^a
how do i do that explicitly, showing each term for x and y? how can there be terms involving a,b and c, when i only have x and y to work with?
any links to examples of "show this is a killing vector" would be a great help.
|Similar Threads for: killing vector help|
|This is killing me!!||Introductory Physics Homework||16|
|Killing vector fields||Differential Geometry||3|
|killing vector in kruskal coordinates||Special & General Relativity||4|
|Wii keeps on killing||General Discussion||11|
|what is a time-like killing vector?||Special & General Relativity||4|