Karl Schwarzschild

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).

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

ds is the path it follows
dt is the change in time
dr is the change in radius
d$\theta$ and d$\varphi$ 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.

References

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