Question

The metric tensor contains information on both: coordinates as well as curvature.

Curvature is a physical characteristic of spacetime, while the coordinates can be chosen completely arbitrary.

Is there a method to disentagle coordinates and curvature?

Answer 1

The metric tensor in general relativity contains information on both coordinates and curvature of spacetime. It is not possible to completely disentangle coordinates and curvature, but it is possible to choose coordinate systems that simplify the calculation of curvature.

Step-by-step explanation:

The metric tensor in general relativity contains information on both coordinates and curvature of spacetime. While coordinates can be chosen arbitrarily, curvature is a physical characteristic of spacetime determined by the distribution of matter. Although it is not possible to completely disentangle coordinates and curvature, it is possible to choose coordinate systems that simplify the mathematical representation of the metric tensor and make the calculation of curvature easier.