What is the basis of the requirement ##g_{\mu\nu}=\eta_{\mu\nu}##? It is my understanding that this requirement comes from the necessity that transformations between inertial frames be symmetries of Maxwell's equations (cf...
What about transformations between non-Cartesian inertial coordinates? For example, a transformation from an inertial, Cartesian coordinate system to the same system in spherical coordinates? After all, any coordinate transformation results in a linear map (Carroll, p. 129-133).
If I am correct...
Hello everyone,
There is something that has been bugging me for a long time about the meaning of Lorentz Transformations when looked at in the context of tensor analysis. I will try to be as clear as possible while at the same time remaining faithful to the train of thought that brought me...