The concept of the expanding Universe is one of the fundamental aspects of modern cosmology. This idea was first famously observed by Edwin Hubble in the 1920s when he discovered that distant galaxies are moving away from us, implying that the Universe is expanding.
The velocity at which a galaxy recedes due to this expansion is proportional to its distance from us. This relationship is encapsulated in **Hubble's Law**, which can be written as:
\[ v = H_0 \times d \]Here:
- \( H_0 \) is the Hubble constant, representing the rate of expansion.
- \( d \) is the distance to the galaxy.
- \( v \) is the recession velocity.
All galaxies, seen on very large scales, move away from each other. This motion, however, is separate from peculiar velocities, which represent deviations from this uniform expansion. The expansion of the Universe affects the overall distribution of galaxies, causing them to be more spread out over time. This results in phenomena such as the redshift, where the light from distant galaxies appears stretched to longer wavelengths.