Astronomy: Schwarzschild Radius

Astronomy: Schwarzschild Radius
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Concepts & Techniques
Schwarzschild Radius The Schwarzschild radius is a parameter in the Schwarzschild solution to Einstein's field equations that corresponds to the radius of a sphere in flat space that has the same surface area as that of the event horizon of a Schwarzschild black hole of a given mass. It is a characteristic quantity that may be associated with any quantity of mass.

Commentary

Commentary

Source: Wikipedia (CC BY-SA)
Schwarzschild Radius The Schwarzschild radius is a parameter in the Schwarzschild solution to Einstein's field equations that corresponds to the radius of a sphere in flat space that has the same surface area as that of the event horizon of a Schwarzschild black hole of a given mass. It is a characteristic quantity that may be associated with any quantity of mass. The Schwarzschild radius was named after the German astronomer Karl Schwarzschild, who calculated this solution for the theory of general relativity in 1916.

Commentary

Source: Internal
Why Schwarzschild Radius matters: These foundational ideas and techniques are the tools astronomers use to measure, classify, and understand everything from nearby planets to the most distant galaxies. r s = 2 G M c 2 , {\displaystyle r_{\text{s}}={\frac {2GM}{c^{2}}},} where G is the Newtonian constant of gravitation, M is the mass of the object, and c is the speed of light.

Commentary

Source: Internal
Deep dive: Schwarzschild Radius where G is the Newtonian constant of gravitation, M is the mass of the object, and c is the speed of light. Source: https://en.wikipedia.org/wiki/Schwarzschild_radius (Wikipedia, CC BY-SA)