Dear all,(adsbygoogle = window.adsbygoogle || []).push({});

In flat conformal space-time,

[tex]e.g. \quad g_{\alpha \beta} = e^{4\kappa} \eta_{\alpha \beta}[/tex]

where [tex]\kappa[/tex] is some function of space-time coordinates.

What sort of paths do photons and massive particles follow? Could anyone describe their paths with some analagy or a picture? What is the difference between conformally flat space-time and flat space-time physically?

Moreover, if the space-time is only conformal but not flat, what does this mean physically? Why is conformal /conformal flat space-time useful in GR?

**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!

# Conformal spacetime

Loading...

Similar Threads for Conformal spacetime | Date |
---|---|

Interesting Effect of Conformal Compactification on Geodesic | Dec 29, 2015 |

Flat vs. Conformally Flat Spacetime | Dec 11, 2012 |

How do I know that a conformal transformation exist? + Global properties of spacetime | Oct 15, 2012 |

BRS: Penrose-Carter Conformal Compactifcations of Spacetimes | May 18, 2010 |

Cosmology in Conformally Flat Spacetime | Nov 16, 2008 |

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