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The Schwarzschild radius or the gravitational radius is a physical parameter in the Schwarzschild solution to Einstein's field equations that corresponds to the radius defining the event horizon of a Schwarzschild black hole. It is a characteristic radius associated with any quantity of mass.
The surface at the Schwarzschild radius acts as an event horizon in a non-rotating body that fits inside this radius (although a rotating black hole operates slightly differently). The Schwarzschild radius of an object is proportional to its mass.
THE SCHWARZSCHILD SOLUTION AND BLACK HOLES. We now move from the domain of the weak-field limit to solutions of the full nonlinear Einstein's equations. With the possible exception of Minkowski space, by far the most important such solution is that discovered by Schwarzschild, which describes spherically symmetric vacuum spacetimes.
Black Hole Description. One of the terms used with black holes is "photon sphere", the radius of the orbit of light around the black hole. For 3 solar masses this radius is 13.5 km, 3/2 x the event horizon radius. The event horizon radius is also called the Schwarzschild radius . Calculation.
Event horizon, boundary marking the limits of a black hole. At the event horizon, the escape velocity is equal to the speed of light. Since general relativity states that nothing can travel faster than the speed of light, nothing inside the event horizon can ever escape beyond it, including light.
- The Editors of Encyclopaedia Britannica
9 de out. de 2021 · The Schwarzschild solution leads to a derivation of the Schwarzschild radius, which is the size of the event horizon of a non-rotating black hole. “It’s always pleasant to have strict solutions of simple form.” – Karl Schwarzschild, 1916. Youth and Education
Any spherical non-rotating object having a radius smaller than its Schwarzschild radius is called a black hole. The spherical surface surrounding the black hole, at Schwarzschild radius, is known as the event horizon, inside which the escape velocity is greater than the speed of light.
