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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 paler hyperbolas represent contours of the Schwarzschild r coordinate, and the straight lines through the origin represent contours of the Schwarzschild t coordinate. In general relativity , Kruskal–Szekeres coordinates , named after Martin Kruskal and George Szekeres , are a coordinate system for the Schwarzschild geometry for a black hole .
where = (,) are coordinates and is the Riemannian metric on the 2 sphere of unit radius. That is, these nested coordinate spheres do in fact represent geometric spheres, but the appearance of b ( r 0 ) r {\displaystyle b(r_{0})\,r} rather than r {\displaystyle r} shows that the radial coordinate do not correspond to area in the same way as for ...
Figure drawing by Leonardo da Vinci. A figure drawing is a drawing of the human form in any of its various shapes and postures, using any of the drawing media. The term can also refer to the act of producing such a drawing. The degree of representation may range from highly detailed, anatomically correct renderings to loose and expressive sketches.
For example, the Schwarzschild radius r s 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. The Schwarzschild radius of the Sun is much larger, roughly 2953 meters, but at its surface, the ratio r s /r is roughly 4 parts in a
A sketch (ultimately from Greek σχέδιος – schedios, "done extempore" [1] [2] [3]) is a rapidly executed freehand drawing that is not usually intended as a finished work. [4] A sketch may serve a number of purposes: it might record something that the artist sees, it might record or develop an idea for later use or it might be used as a ...
English: The Schwarzschild interior (blue) and exterior (black) solutions. r s: Schwarzschild radius; r g: r-coordinate on the body's surface; ...
In the theory of Lorentzian manifolds, spherically symmetric spacetimes admit a family of nested round spheres.In such a spacetime, a particularly important kind of coordinate chart is the Schwarzschild chart, a kind of polar spherical coordinate chart on a static and spherically symmetric spacetime, which is adapted to these nested round spheres.