Gravitational singularities

A black hole is an astronomical body so compact that its gravity prevents anything, including light, from escaping. Albert Einstein's theory of general relativity, which describes gravitation as the curvature of spacetime, predicts that any sufficiently compact mass will form a black hole. The boundary of no escape is called the event horizon. In general relativity, crossing a black hole's event horizon traps an object inside but produces no locally detectable change. General relativity also predicts that every black hole should have a central singularity, where the curvature of spacetime is infinite.

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

spherically symmetric static vacuum solution of Einstein’s field equations with zero cosmological constant

a hypothetical gravitational singularity without an event horizon

exact solution for the Einstein field equations

spherically symmetric metric with electric charge

theorem

conjecture that, in general relativity, there is no naked singularity (i.e. one visible from future null infinity) generically

exact solution of the Einstein field equations describing the spacetime around an electrically charged and rotating mass

time period of seeming infinite density just after the Big Bang

black hole with maximal charge or angular momentum allowed for a given mass

general relativity model near the beginning of the universe

Ring-shaped gravitational singularity of a rotating blackhole

quantum description of black holes

Models of black holes without gravitational singularities