# Karl Schwarzschild

Karl Schwarzschild Karl Schwarzschild (1873–1916)
Born9 October 1873
Died11 May 1916 (aged 42):xix
Potsdam, German Empire
NationalityGerman
Alma materLudwig Maximilian University of Munich
Spouse(s)Else Rosenbach
Scientific career
FieldsPhysics
Astronomy
InfluencedMartin 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 a 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.