The **Schwarzschild radius** (sometimes historically referred to as the **gravitational radius**) is the distance from the center of an object such that, if all the mass of the object were compressed within that sphere, the escape speed from the surface would equal the speed of light. An example of an object smaller than its Schwarzschild radius is a black hole. Once a stellar remnant collapses within this radius, light cannot escape and the object is no longer visible. It is a characteristic radius associated with every quantity of mass. The *Schwarzschild radius* was named after the German astronomer Karl Schwarzschild who calculated this exact solution for the theory of general relativity in 1915.

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### Other articles related to "schwarzschild radius, radius, schwarzschild":

**Schwarzschild Radius**

... The

**Schwarzschild radius**(rs) of any mass is calculated using the following formula For an electron, G is Newton's gravitational constant, m is the mass of the electron = 9.109×10−31kg, and c is the ... So if the electron has a

**radius**as small as this, it would become a gravitational singularity ... large energy scales, and so QED-based experiments bound the electron

**radius**to a value smaller than the Compton wavelength of a large mass, on the order of GeV, or ...

... See also

**Schwarzschild**solution An exact solution to the Einstein field equations is the

**Schwarzschild**metric, which corresponds to the external gravitational field of a stationary, uncharged, non-rotating ... It is characterized by a length scale rs, known as the

**Schwarzschild radius**, which is defined by the formula where G is the gravitational constant ... For example, the

**Schwarzschild radius**rs of the Earth is roughly 9 mm (3⁄8 inch) at the surface of the Earth, the corrections to Newtonian gravity are only one part in a billion ...

... Only a few months later, Karl

**Schwarzschild**found a solution to Einstein field equations, which describes the gravitational field of a point mass ... A few months after

**Schwarzschild**, Johannes Droste, a student of Hendrik Lorentz, independently gave the same solution for the point mass and wrote more extensively about its properties ... had a peculiar behaviour at what is now called the

**Schwarzschild radius**, where it became singular, meaning that some of the terms in the Einstein equations ...

... For small black holes whose

**Schwarzschild radius**is much closer to the singularity, the tidal forces would kill even before the astronaut reaches the event horizon ... It will break at a distance of 320 km, well outside the

**Schwarzschild radius**of 30 km ... masses it will break at a distance of 3200 km, well inside the

**Schwarzschild radius**of 30,000 km ...

**Schwarzschild Radius**- Relativistic Circular Orbits and The Photon Sphere

... equation indicates that an object orbiting at the speed of light would have an orbital

**radius**of 1.5 times the

**Schwarzschild radius**...