The phenomenon where light's travel time is increased due to gravitational potential, as in the Shapiro effect.Light delay, also known as the Shapiro effect, is the gravitational time delay of light passing near a massive object. According to general relativity, a strong gravitational field slows the passage of time, and since light travels at a fixed speed, the slowing of time effectively increases the light's travel time along its path. This is not a mere technicality but a direct consequence of spacetime curvature: the light follows a geodesic through curved spacetime, and the coordinate time it takes is longer than it would be in flat space.
The effect was predicted by Irwin Shapiro in 1964 and first confirmed in 1967 by radar ranging to the planet Mercury, using the Arecibo radio telescope.
When a light signal passes near a massive body (like the Sun), the gravitational potential φ causes a delay Δt = −(2GM/c³) ln(1 − R/r), where M is the mass, R is the impact parameter, and r is the distance to the observer. The effect is strongest when the light grazes the surface of the body. In practice, this is measured by bouncing radar signals off planets or spacecraft and comparing the round-trip time with predictions from Newtonian gravity. The delay is tiny — for the Sun, it's at most about 250 microseconds — but it is measurable with modern clocks.
The Shapiro delay is used to test general relativity in the solar system, to calibrate timing in pulsar timing arrays for gravitational wave detection, and to measure the masses of distant galaxies through gravitational lensing time delays.
The Shapiro delay is so sensitive that it has been measured to a precision of one part in a thousand in the Cassini spacecraft experiment, confirming Einstein's theory to within 0.001%.







