On Tuesday, May 17, 2022 at 11:42:37 AM UTC-6 meeke...@gmail.com wrote:
> Of course it depends on the energy distribution. That's what's on the > right side of Einstein's equation and if it's given you can solve for the > metric on the left side. The proper time between two time-like events is > the metric measure along a geodesic between them, which is force-free > path. But it's possible, in a curved spacetime, for there to be more than > one geodesic between the same two events. > > Brent > The author of the GR YouTube videos I am following initially confused me -- by doing a general case of constructing a metric tensor from an arbitrary linear metric defined on the basis vectors of a 4-D vector space. Later, using various spacetimes defined by energy distributions and well-known in the GR literature, he does what you suggest -- but for me those lectures are still TBD's. TY, AG > > On 5/14/2022 10:38 AM, Alan Grayson wrote: > > It appears in Einstein's Field Equations and presumably allows us to > calculate the Metric of spacetime, which is a bilinear map from a pair of > spacetime coordinates to a real number. If the foregoing is correct, what > is the definition of distance between any pair of spacetime points, and > does it depend, as I think it does, on the energy distribution of the type > of spacetime under consideration? That is, is it the free fall path length > between any two spacetime points, or if not, then what? TY, AG -- > 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 everything-li...@googlegroups.com. > To view this discussion on the web visit > https://groups.google.com/d/msgid/everything-list/0f1ddae4-e878-4733-94b7-5f17c7fee321n%40googlegroups.com > > <https://groups.google.com/d/msgid/everything-list/0f1ddae4-e878-4733-94b7-5f17c7fee321n%40googlegroups.com?utm_medium=email&utm_source=footer> > . > > > -- 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 everything-list+unsubscr...@googlegroups.com. To view this discussion on the web visit https://groups.google.com/d/msgid/everything-list/1831b406-0964-425d-b101-eead7d45540cn%40googlegroups.com.
