# Karl Schwarzschild

German physicist, astronomer and mathematician (*1873 – †1916)

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

Karl Schwarzschild
Karl Schwarzschild (1873–1916)
Born9 October 1873
Died11 May 1916 (aged 42)[1]: xix
Potsdam, German Empire
NationalityGerman
Alma materLudwig Maximilian University of Munich
SpouseElse Rosenbach
Scientific career
FieldsPhysics
Astronomy
InfluencedMartin Schwarzschild
Signature

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).

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

ds is the path it follows
dt is the change in time
dr is the change in radius
d${\displaystyle \theta }$ and d${\displaystyle \phi }$ are the change in angle
${\displaystyle \theta }$ is also the angle
${\displaystyle r_{s}}$ 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.[2]

## References

1. Biography of Karl Schwarzschild by Indranu Suhendro, The Abraham Zelmanov Journal, 2008, Volume 1.
2. Czerniawski, Jan. [1], The possibility of a simple derivation of the Schwarzschild metric. Retrieved on 10 May, 2020.