Ph · Physics

At What Speed Is the Universe Expanding?

Published By the 9to5Science editorial team

At a glance

  1. 1. Use the Hubble rate

    The present expansion rate is about 70 kilometers per second per megaparsec.

  2. 2. Specify a distance

    For galaxies following the general cosmic expansion, recession speed grows in proportion to their distance.

  3. 3. Interpret the result

    At great distances recession speeds can exceed light speed without objects locally moving through space that fast.

The universe does not expand outward from a central point at one fixed speed. Instead, the distance between unbound galaxies generally increases over time. The rate at which that distance increases depends on how far apart the galaxies are, so a meaningful answer must give both an expansion rate and a distance.

Astronomers describe the present rate with the Hubble constant, usually written H0H_0. Its approximate value is 7070 kilometers per second per megaparsec (km/s/Mpc). That means that, on average, a galaxy in the general cosmic expansion is receding about 7070 km/s faster for every megaparsec of distance from us.

Expansion rate is not one speed

The Hubble law for the present universe is

vrec=H0D,v_{\text{rec}} = H_0 D,

where DD is a galaxy’s proper distance at the present cosmic time and vrecv_{\text{rec}} is its recession speed due to cosmic expansion. A megaparsec (Mpc) is about 3.26 million light-years.

Because distance appears in the equation, the recession speed has no single value for all galaxies. Nearby galaxies have small expansion-related recession speeds; more distant galaxies have larger ones. The number H0H_0 is a rate of expansion, not a speed by itself. Its units, km/s/Mpc, express how much additional recession speed corresponds to each unit of distance.

The value is approximate. Different measurement methods give somewhat different estimates, and the result depends on the cosmological model used to interpret observations. For a quick calculation, H0≈70H_0 \approx 70 km/s/Mpc is a useful rounded present-day value.

A worked example

Suppose a distant galaxy is 100100 Mpc away and follows the average cosmic expansion, with its own motion relative to that flow neglected. Then

vrec≈H0D≈(70 km/s/Mpc)(100 Mpc)≈7,000 km/s.\begin{aligned} v_{\text{rec}} &\approx H_0D \\ &\approx (70\ \text{km/s/Mpc})(100\ \text{Mpc}) \\ &\approx 7{,}000\ \text{km/s}. \end{aligned}

The megaparsecs cancel, leaving a speed. If the distance were 200200 Mpc, the expansion-related recession speed would be about 14,00014{,}000 km/s. Real galaxies can also have peculiar velocities—motions caused by local gravitational influences—so their measured motion need not match the Hubble-law value exactly, especially at relatively small distances.

Can a galaxy recede faster than light?

Yes. In the standard expanding-universe description, the recession speed is the rate of change of proper distance across the universe at a given cosmic time. Since vrec=H0Dv_{\text{rec}}=H_0D, it exceeds the speed of light when the distance is greater than roughly c/H0c/H_0—about 14 billion light-years for H0≈70H_0\approx70 km/s/Mpc.

This does not mean that the galaxy is locally racing past us through space faster than light. Special relativity forbids objects from overtaking light in their local surroundings; it does not impose the same limit on how quickly the distance between very widely separated locations can grow in an expanding spacetime. The comparison is between distances defined on a cosmological time slice, not a measurement of one object’s local speed past another.

The distance c/H0c/H_0 is called the Hubble radius. It is not the edge of the observable universe or a boundary beyond which nothing can be seen. Light from regions that are currently receding faster than light can still reach us as the expansion rate changes over cosmic history. At large distances, the relation between an observed redshift and a galaxy’s current recession speed also requires a cosmological model; it is not generally a simple Doppler-speed calculation.

What is actually expanding?

Cosmic expansion describes the large-scale increase in distance between locations that move with the average cosmic flow. It does not mean that every object, or every structure, grows in size. Galaxies, solar systems, and atoms are bound by forces that dominate over the expansion on those scales. The Milky Way and Andromeda, for example, are moving toward each other under gravity rather than simply separating with the Hubble flow.

Common mistakes

  • Calling H0H_0 a speed: It is a rate with units of speed per distance. To get a recession speed, multiply it by a distance.
  • Giving a speed without a distance: “The universe expands at 70 km/s” leaves out “per megaparsec.” A galaxy’s recession speed depends on how far away it is.
  • Treating every redshift as an ordinary Doppler shift: For distant galaxies, observed redshift reflects the expansion history of space. Converting it to a current distance or recession speed requires a cosmological model.
  • Assuming faster-than-light recession breaks relativity: The recession rate over cosmological distances is not a local speed through space, so it does not contradict the local light-speed limit.
  • Assuming expansion pulls apart bound objects: The Hubble flow is a large-scale description. It does not make the size of a gravitationally bound galaxy increase at the same rate.

References

  1. Introduction to Cosmology, 2nd ed. — Barbara Ryden
  2. Planck 2018 results. VI. Cosmological parameters — Planck Collaboration

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