Книга: Schwarzschild Coordinates: Schwarzschild Coordinates, Pseudo-Riemannian Manifold, Spherically Symmetric Spacetime, Atlas Topology, Spherical Coordinate System, Static Spacetime, Spacetime

High Quality Content by WIKIPEDIA articles! In the theory of Lorentzian manifolds, spherically symmetric spacetimes admit a family of nested round spheres. In such a spacetime, a particularly important kind of coordinate chart is the Schwarzschild chart, a kind of polar spherical coordinate chart on a static and spherically symmetric spacetime, which is adapted to these nested round spheres. The defining characteristic of Schwarzschild chart is that the radial coordinate possesses a natural geometric interpretation in terms of the surface area and Gaussian curvature of each sphere. However, radial distances and angles are not accurately represented.