Lorentzian manifolds

thumb|upright=1.3|A wormhole visualized as a two-dimensional surface. Route (a) is the shortest path through normal space between points 1 and 2; route (b) is a shorter path through a wormhole.

location in space-time where the gravitational field of a celestial body becomes infinite

mathematical space setting which eases explanation of special relativity

hypothetical mode of transportation by warping space

path taken by a flash of light through spacetime

in Riemannian geometry, the coefficient of the Levi-Civita connection of a Riemannian metric

worldline (timelike curve) in a Lorentzian manifold that is closed (returns to its starting point)

smooth manifold equipped with nowhere degenerate (but not necessarily positive-definite) metric tensor

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

concept in mathematical physics

coordinate system for the Schwarzschild geometry

finite-dimensional real vector space equipped with a nondegenerate quadratic form

Lorentzian manifold where curvature vanishes at large distances

topological structure of 4D spacetime

spacetime that admits a Killing vector that is asymptotically timelike

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