The schwarzschild radius sometimes historically referred to as the gravitational radius is a physical parameter that shows up in the schwarzschild solution to einsteins field equations, corresponding to the radius defining the event horizon of a schwarzschild black hole. Files are available under licenses specified on their description page. Illinois had the highest population of schwarzschild families in 1880. This phenomenon is thought to be the final fate of the more massive stars see black hole. Schwarzschild and kerr solutions of einsteins field. Archived from the original pdf on 10 december 2014. In einsteins theory of general relativity, the interior schwarzschild metric also interior schwarzschild solution or schwarzschild fluid solution is an exact solution for the gravitational field in the interior of a nonrotating spherical body which consists of an incompressible fluid implying that density is constant throughout the body and has zero pressure at the surface. Karl schwarzschild sought the metric describing the static, spherically symmetric spacetime surrounding a spherically symmetric mass distribution. The schwarzschild family name was found in the usa between 1880 and 1920. Haramein, the schwarzschild proton, aip cp 3, isbn 9780735408586, pp.
There were a lot of abstract concepts and sophisticated mathematics displayed, so now would be a good time to summarize the main ideas. In 1880 there were 6 schwarzschild families living in illinois. He was also the father of astrophysicist martin schwarzschild schwarzschild provided the first exact solution to the einstein field equations of general relativity, for the limited case of a single spherical nonrotating mass, which he accomplished in 1915, the same. The most schwarzschild families were found in the usa in 1880. The schwarzschild radius is a physical parameter that shows up in the schwarzschild solution.
Chapter 2 einstein equations and schwarzschild solution the einstein equations are usually written in the following form1. It is a characteristic radius associated with every quantity of mass. All structured data from the file and property namespaces is available under the creative commons cc0 license. In fact, the static assumption is stronger than required, as birkhoffs theorem states that any spherically symmetric vacuum solution of einsteins field equations is stationary. Karl schwarzschild, trous noirs biographie astronoo. The schwarzschild radius r g of an object of mass m is given by the following formula, in which g is. Again, the point is not to be able to understand the details with extreme rigor, but to grasp the. This was about 86% of all the recorded schwarzschilds in the usa.