Spacetime and the cosmos

1922–1929

The expanding universe

Alexander Friedmann, Georges Lemaître, Edwin Hubble

Is the universe getting bigger?

Friedmann and Lemaître found that Einstein’s equations allow a universe that grows. Using Leavitt’s pulsing stars to measure distances, Hubble showed that distant galaxies are moving away, faster the further they are.

First, make a guess

Standing on a different galaxy, would you see everything moving away from you?

How they figured it out

In 1917 Einstein added an extra term to his equations to keep the universe still, as everyone assumed it was. Alexander Friedmann, a Russian mathematician and meteorologist, showed in 1922 that the equations also allow a growing universe. Einstein first thought Friedmann had made a mistake, then admitted he hadn’t.

Georges Lemaître, a Belgian priest and physicist, predicted the expansion in 1927 in a journal few people read. In 1929 Edwin Hubble, using Leavitt’s pulsing stars for distances and earlier speed measurements by Vesto Slipher, showed that the further a galaxy is, the faster it recedes.

The equation

v=H0 dv = H_0\, d

A galaxy twice as far away is moving away twice as fast.

Everyday echoLike raisins in rising bread: every raisin sees all the others moving away.

See it in real life

Raisin bread

As raisin bread rises in the oven, every raisin moves away from every other, and raisins twice as far apart separate twice as fast. No raisin is at the centre. Police speed radar uses the same Doppler shift astronomers used to measure galaxies.

Where engineers use it

  • Doppler measurement

    Redshift, the same effect as police speed radar, gives galaxies’ speeds.

Worked example: A galaxy 100 megaparsecs away

  1. v=H0d≈70×100=7000v = H_0 d \approx 70 \times 100 = 7000 km/s.