Hi, i was thinking about the metric tensor transformation law:(adsbygoogle = window.adsbygoogle || []).push({});

[tex]g_{cd}(x) = \frac{{dx'}^a}{{dx}^c} \frac{{dx'}^b}{{dx}^d} g'_{ab}(x')[/tex]

and, in view of this definition, the differences between Poincare transformations and reparametrization-like transformation (f.e. various conformal transformations of Schwarzschild metric to obtain Penrose diagrams). Maybe someone could point out the differences between them? I think there should be some because Poincare represent some physical situation whereas reparametrization is just change of coordinate charts. I've read about Poincare transformations being an isometry which suppose to mean that they preserve the manifold structure but I am not sure about this. Hope someone will clarify this.

Thanks for reply in advance.

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

Dismiss Notice

Join Physics Forums Today!

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

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

# Metric tensor transformations

Loading...

Similar Threads - Metric tensor transformations | Date |
---|---|

A Causal structure of metric | Thursday at 5:20 AM |

B Metric Tensor and The Minkowski metric | Dec 17, 2017 |

Transformation of the metric tensor from polar to cartesian coords | Dec 29, 2013 |

Tensor transforming law problem / metric-delta contraction | Aug 20, 2011 |

Coordinate transformation and metric tensor | Dec 17, 2010 |

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