Karl Schwarzschild

Karl Schwarzschild
Karl Schwarzschild (1873–1916)
Born	(1873-10-09)9 October 1873 Frankfurt am Main, German Empire
Died	11 May 1916(1916-05-11) (aged 42) Potsdam, German Empire
Nationality	German
Alma mater	Ludwig Maximilian University of Munich
Spouse	Else Rosenbach
Scientific career
Fields	Physics Astronomy
Doctoral advisor	Hugo von Seeliger
Influenced	Martin Schwarzschild
Signature

Karl Schwarzschild (9 October 1873 – 11 May 1916) was a German physicist and astronomer.

Best known for his solution to Einstein's equations of general relativity, which describes the gravitational field outside a non-rotating black hole with no magnetic field.

The equation describes how a particle moves space near this black hole (using spherical coordinates).

$(ds)^{2}=-c^{2}(1-{\frac {r_{s}}{r}})(dt)^{2}+{\frac {1}{(1-{\frac {r_{s}}{r}})}}(dr)^{2}+r^{2}(d\theta )^{2}+r^{2}\sin ^{2}(\theta )(d\phi )^{2}$

ds is the path it follows
dt is the change in time
dr is the change in radius
d$\theta$ and d$\phi$ are the change in angle
$\theta$ is also the angle
$r_{s}$ is the set radius limit of the heavy object
r is how close the travelling object is to the heavy object
c is the speed of light

This equation is also known as the Schwarzschild metric or Schwarzschild solution.