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24.4 Time in General Relativity

24.4 Time in General Relativity

Written by the Fiveable Content Team • Last updated August 2025
Written by the Fiveable Content Team • Last updated August 2025
🪐Intro to Astronomy
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Effects of Gravity on Time and Light

Time dilation from gravity

In general relativity, gravity isn't just a force pulling things down. It's a warping of spacetime itself. One of the strangest consequences is that gravity affects the flow of time: clocks tick slower in stronger gravitational fields and faster in weaker ones.

This effect is called gravitational time dilation. The closer you are to a massive object, the slower time passes for you compared to someone farther away. A clock on Earth's surface ticks slightly slower than a clock orbiting high above, because the surface sits deeper in Earth's "gravity well."

  • The strength of this effect depends on the gravitational potential at each location. Two clocks at different gravitational potentials will measure time passing at different rates.
  • Massive objects curve the fabric of spacetime, and this curvature affects both the paths objects follow and the rate at which time flows.
  • Objects in free fall follow geodesics, the straightest possible paths through curved spacetime. Even though these paths look curved to us (like an orbit), they're the natural "straight lines" in warped geometry.

Near a black hole, gravitational time dilation becomes extreme. A clock hovering just outside the event horizon would tick incredibly slowly compared to a distant observer's clock.

Time dilation from gravity, Gravitational time dilation - Wikipedia

Gravitational redshift of light

Gravity doesn't just slow clocks. It also affects light. When a photon climbs out of a gravitational well, it loses energy. Since a photon's energy is tied to its frequency, losing energy means its frequency decreases and its wavelength stretches. The light shifts toward the red end of the spectrum, an effect called gravitational redshift.

  • A photon escaping from a neutron star, for example, will arrive at a distant observer with a noticeably longer wavelength than it had when emitted.
  • Gravitational redshift has been observed in light from objects with strong gravitational fields, such as white dwarfs and the regions around supermassive black holes at the centers of galaxies.
  • At the event horizon of a black hole, gravitational redshift becomes infinite. Light emitted right at the event horizon loses all its energy trying to escape, which is another way of understanding why nothing gets out.
Time dilation from gravity, Spacetime diagram - Wikipedia

General relativity in GPS technology

GPS is one of the most practical demonstrations that general relativity is real and measurable. GPS satellites orbit at about 20,200 km above Earth, where gravity is weaker than at the surface. Because of gravitational time dilation, their onboard clocks tick faster than clocks on the ground by about 45 microseconds per day.

There's also a competing effect from special relativity: the satellites are moving at roughly 14,000 km/h, and that speed causes their clocks to tick slower by about 7 microseconds per day. The net result is that satellite clocks gain roughly 38 microseconds per day relative to ground clocks.

That sounds tiny, but GPS relies on extremely precise timing to calculate positions. Without relativistic corrections, position errors would accumulate to approximately 10 kilometers per day, making the system useless for navigation.

  • GPS satellites carry atomic clocks that are pre-adjusted before launch to compensate for both gravitational time dilation and velocity-based time dilation.
  • These relativistic corrections keep satellite clocks synchronized with ground clocks, which is what allows GPS receivers to pinpoint your location accurately.

General relativity also plays a role in other technologies:

  1. Gravitational wave detection at observatories like LIGO and Virgo, which measure ripples in spacetime itself
  2. Precise timekeeping with atomic clocks, where even small altitude differences produce measurable time dilation
  3. Satellite-based communication systems that depend on accurate signal timing

Einstein's Contributions to General Relativity

Albert Einstein published the theory of general relativity in 1915. Its core idea is that gravity isn't a force acting at a distance but rather a consequence of the curvature of spacetime caused by mass and energy.

A key foundation of the theory is the equivalence principle: in a small region of spacetime, the effects of gravity are indistinguishable from the effects of acceleration. If you were in a sealed elevator accelerating upward through empty space, you'd feel exactly the same as if you were standing still in a gravitational field. There's no experiment you could do inside the elevator to tell the difference.

Einstein's theory also predicted gravitational waves, ripples in spacetime produced by accelerating massive objects. These were first directly detected in 2015 by the LIGO observatory, confirming a prediction that had waited a full century for experimental verification.