No; you never posted any page numbers in your reference. Had you done that, I would have immediately studied your specific reference. But I was about to post something like what you wrote; namely, that *solving* for the metric tensor *MEANS* solving for the 16 components defining its function, given a stress-energy tensor and a coordinate system. The form of the components must depend on the coordinates. And given a coordinate system, the components will vary depending on location in spacetime, and this is what's meant by the "metric tensor field". I thought the "field" refers to a *unique* *real numbe*r at each point in spacetime, but it must refer to the components of the matrix representing the tensor. Wiki's definition seems misleading since it states that the metric tensor is a bilinear function of two vectors on the tangent plane. Those vectors are its arguments, but sort-of misleading. Is there anything in the foregoing that I got wrong? AG On Wednesday, September 4, 2024 at 8:09:07 PM UTC-6 Brent Meeker wrote:
> The metric field is the set of metric tensors, one at each point. It's > not some vector lengths. > > When are you gonna read "Relativity DeMystifie". I told you the page > numbers and you can look up more in the index. > > Brent > > > > On 9/4/2024 5:59 PM, Alan Grayson wrote: > > But my point is therefore that the metric tensor field is ambiguous ! > > On Wednesday, September 4, 2024 at 6:40:38 PM UTC-6 Brent Meeker wrote: > >> It explains this "...and yields *different *real values for most >> different pairs." >> >> Brent >> >> >> >> On 9/4/2024 1:03 PM, Alan Grayson wrote: >> >> and yields *different *real values for most different pairs. >> >> >> -- > 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 view this discussion on the web visit > https://groups.google.com/d/msgid/everything-list/ae301a72-9969-4e60-a132-0c8fe6d6f16cn%40googlegroups.com > > <https://groups.google.com/d/msgid/everything-list/ae301a72-9969-4e60-a132-0c8fe6d6f16cn%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 [email protected]. To view this discussion on the web visit https://groups.google.com/d/msgid/everything-list/ad6e61d2-6815-4495-b182-23008f431730n%40googlegroups.com.
