On Monday, February 18, 2019 at 3:37:19 PM UTC-7, Brent wrote: > > > > On 2/18/2019 2:05 PM, [email protected] <javascript:> wrote: > > *Is it correct to say that in 3-space with the Euclidian metric the > geodesic is the path determined by minimal distance between two points, > whereas in 4-space with the Lorentzian metric it's the maximal distance? > TIA, AG* > > > That's right as far as it goes. "Geodesic" is a general term in geometry, > applying to curved spaces as well as flat and it refers to paths that are > extremal. So in general relativity there can be different geodesics > between the same two events, each of which is a local extremal. >
*Do you mean the metric tensor differs, depending on the coordinate system? TIA, AG * > > Brent > -- You received this message because you are subscribed to the Google Groups "Everything List" group. To unsubscribe from this group and stop receiving emails from it, send an email to [email protected]. To post to this group, send email to [email protected]. Visit this group at https://groups.google.com/group/everything-list. For more options, visit https://groups.google.com/d/optout.
