I'm working on a problem that requires me to take the cartesian metric in 2D [1 0;0 1] and convert (using the transformation equations b/w polar and cartesian coords) it to the polar metric. I have done this without issue using the partial derivatives of the transformation equations and have come up with the metric in polar coordinates [1 0;0 r^2].(adsbygoogle = window.adsbygoogle || []).push({});

Just for grins, I decided to use the partial derivatives and convert back to cartesian using the polar metric, expecting to come up with the exact same thing I started with, namely [1 0;0 1]. Unfortunately, that is not what happened. Shouldn't this work? Can anyone help me in where my thought process is wrong here?

Note, this is not a HW question; I am a degreed engineer teaching myself relativity from a workbook.

**Physics Forums | Science Articles, Homework Help, Discussion**

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

# Transformation of the metric tensor from polar to cartesian coords

Loading...

Similar Threads for Transformation metric tensor |
---|

I Fizeau's experiment and TRANSFORMATION OF VELOCITIES |

I Relativistic Velocity Transformation |

B Tensors and Lorentz Transformations |

I Spacetime is homogeneous and isotropic |

I Metric transformation under coordinate transformation |

**Physics Forums | Science Articles, Homework Help, Discussion**