Hi everyone. What are the components of the 2 Translational Killing Vectors in 2-dimensions, in Polar Coordinates? I've solved the Killing equation using Maple, and the solution was ##\xi_r = 0##, ##\xi_{\theta} = r^2##, but I guess that these are the components for the rotation Killing Vector, because these components correspond to those that @PeterDonis wrote down in another thread when I asked him about the rotational Killing Vector. There should be ##N(N+1)/2 = 3## independent Killing Vectors in ##N = 2## dimensions, in this case the other 2 associated with translations. What would be the general components of them?(adsbygoogle = window.adsbygoogle || []).push({});

**Physics Forums - The Fusion of Science and Community**

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# I Killing Vectors in 2D

Have something to add?

Draft saved
Draft deleted

Loading...

Similar Threads - Killing Vectors | Date |
---|---|

A Why is Killing vector field normal to Killing horizon? | Jan 26, 2018 |

General Relativity- geodesics, killing vector, Conserved quantity Schwarzschild metric | Jun 25, 2017 |

A Killing vector notation confusion time translation | Feb 12, 2017 |

A Flat s-t 4d killing vectors via solving killing equation | Feb 12, 2017 |

**Physics Forums - The Fusion of Science and Community**