Coordinate charts in general relativity

metric properties of the spacetime based on Albert Einstein's metric tensor and field solution for the spacetime

measurement of distance in which the change due to the expansion of the universe is factored out

two-dimensional diagram that captures the causal relations between different points in spacetime

coordinate system on a subset of Minkowski space adapted to a uniformly accelerating observer undergoing hyperbolic motion

coordinate system for the Schwarzschild geometry

coordinates to capture characteristics of rotating frames of reference

particular set of coordinates for the Schwarzschild metric

generalization of the coordinates used for the metric of a Schwarzschild black hole that can be used to express the metric of a Kerr black hole

Metric in relativity

Lorentzian metric describing an isotropic, expanding, nonhomogenous universe

coordinate system for the Schwarzschild metric such that the time coordinate is the proper time of a free-falling observer who starts from far away at zero velocity, and the spatial slices are flat

pair of coordinate systems for a Schwarzschild geometry, adapted to radial null geodesics