Hi(adsbygoogle = window.adsbygoogle || []).push({});

How can a person chart a manifold if he does not know how the manifold looks like ?

E.g. The 2-sphere manifold can have 2 charts and symmetric charts with the chart goes like this ( theta from zero to pi , psy from minus pi to pi ) but the problem for unknown manifold , e.g. In general relativity (4-manifold) when solving GR equations , (consider the vacuum solutions by Schwarzschild ) how to take a chart here to do analysis ? And further more he considers [ spherically symmetric spacetime manifold ] , does this mean that the spatial manifold is 3-sphere , so he can chart by considering ( r larger than zero , theta from 0 to pi , psy from minus pi to pi ) , but who says that the manifold is spherical S^3 ?

Thanks

**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!

# Charting manifolds

Loading...

Similar Threads - Charting manifolds | Date |
---|---|

I Chart coordinate maps of topological manifolds | Mar 1, 2017 |

A Manifolds: local & global coordinate charts | Jul 8, 2016 |

I Question about chart parameterization | Jun 22, 2016 |

Manifolds - Charts on Real Projective Spaces | Feb 21, 2016 |

Local parameterizations and coordinate charts | Jun 23, 2015 |

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