I have just been reading about the Milne model of the universe, which is a version of the FLRW model with zero mass-energy everywhere and negative curvature.(adsbygoogle = window.adsbygoogle || []).push({});

This perplexes me a little as my understanding is that if there is no mass-energy the Einstein tensor will be uniformly zero, which I thought (but am not sure) implied that the Riemann curvature tensor would be uniformly zero. Hence if the Milne universe has negative curvature it would not be compatible with the field equation.

Am I misunderstanding something here?

**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!

# Is the Milne model compatible with Einstein's field equation?

Loading...

Similar Threads - Milne model compatible | Date |
---|---|

I Continuous Lensing Models: Discrete Data | Feb 12, 2018 |

I Mass in the early universe and the CCC model | Feb 8, 2018 |

I Models of Universe | Jan 7, 2018 |

I Realistic coasting cosmology from the Milne model | Nov 8, 2016 |

Does the empty Milne Universe have a horizon problem? | Jun 22, 2011 |

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