Metric tensor

A metric tensor is a mathematical tool used in geometry and physics to measure distances and angles within a space. Think of it as a sophisticated ruler that not only measures length but also accounts for the way space is curved or distorted. In the context of spacetime, it helps determine how objects move and how time and space relate to each other. Essentially, the metric tensor provides the rules for calculating how far apart points are and how angles are measured within a given space, capturing its fundamental geometric properties.