Astronomy

Galaxies and cosmology

Galaxies, Hubble, redshift, black holes.

Basics

The Milky Way

A barred spiral. The Sun sits in the disk about 8 kpc from the center. A dark-matter halo keeps the rotation curve flat. A supermassive black hole (Sgr A*) sits at the center.

Expanding universe

More distant galaxies show larger redshift (Hubble–Lemaître). The CMB is leftover light from the early universe. Rough contents: dark energy, dark matter, ordinary matter.

Formulas

Hubble–Lemaître

v = H₀ d

Recession speed proportional to distance. H₀ is around 70 km/s/Mpc, with a well-known tension.

Symbols

  • H₀ Hubble constant
  • d proper distance

Redshift

z = (λ_obs − λ_emit) / λ_emit

Cosmological z is expansion of space. Nearby objects also have Doppler shifts.

Symbols

  • z redshift

Schwarzschild radius

R_s = 2 G M / c²

Scale of the event horizon. About 3 km for a solar mass.

Key table

CMB ≈ 2.725 K blackbody
Age (approx.) about 13.8 billion years
Local Group Milky Way, Andromeda (M31), Triangulum (M33), and dwarfs

In this field