Karl Schwarzschild

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

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
Scientific career
Fields	Physics Astronomy
Influenced	Martin Schwarzschild
Signature
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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).

[math]\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 }[/math]

ds is the path it follows
dt is the change in time
dr is the change in radius
d[math]\displaystyle{ \theta }[/math] and d[math]\displaystyle{ \phi }[/math] are the change in angle
[math]\displaystyle{ \theta }[/math] is also the angle
[math]\displaystyle{ r_s }[/math] 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.

Karl Schwarzschild Media

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  Schwarzschild at the Fourth Conference International Union for Cooperation in Solar Research at Mount Wilson Observatory, 1910

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  Karl Schwarzschild's grave at Stadtfriedhof (Göttingen)

• Schwarzschild circular radii.svg

  The Kepler problem in general relativity, using the Schwarzschild metric

• Schwarzschild interior.jpg

  Boundary region of Schwarzschild interior and exterior solution