The way I've been reading it, elliptic geometries are due to a positive Gaussian curvature, while hyperbolic geometries are due to a negative Gaussian curvature.(adsbygoogle = window.adsbygoogle || []).push({});

Do local saddle curvatures mean local time dilation and length contraction, or do they mean local time acceleration and length expansion? Or do saddle geometries correspond to local time dilation and length expansion? Or do saddle geometries correspond to local time acceleration and length contraction?

Also, how would a localized "negative" energy density affect time and length relative to flat space?

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

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!

# Time dilation and Length contraction in Saddle Geometries

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