Transmission of ripples in spacetime through gravitational interactions and media.Gravitational wave propagation is the process by which ripples in spacetime travel outward from violent cosmic events, such as black hole mergers or supernovae. These waves are disturbances in the geometry of spacetime itself, predicted by Einstein's general relativity, and they carry information about their origins across the universe. Unlike electromagnetic waves, gravitational waves pass through matter almost undisturbed, making them unique messengers that can reveal details about events that light cannot reach.
First predicted by Albert Einstein in 1916 as a consequence of general relativity, they were indirectly confirmed by observations of the Hulse-Taylor binary pulsar in the 1970s, and directly detected by LIGO in 2015.
Gravitational waves are generated when massive objects accelerate asymmetrically, causing quadrupole moments to change. The waves propagate at the speed of light, stretching and squeezing spacetime in a transverse pattern perpendicular to their direction of travel. As they travel, they interact weakly with matter, which is why they can cross the universe without significant absorption or scattering, preserving the original signal's characteristics.
Gravitational wave detectors like LIGO and Virgo use laser interferometry to measure tiny distortions in spacetime, enabling the study of black holes, neutron stars, and the early universe.
Gravitational waves lose energy as they propagate, but the total energy emitted in a single black hole merger can exceed the combined light output of all stars in the observable universe for a brief moment.
| h_{ij}^{\text{TT}} | variable | Transverse-traceless gravitational wave strain tensor — gravitational wave strain |
| D | variable | Distance from source to observer — distance metre |
| I_{ij} | variable | Mass quadrupole moment tensor — mass quadrupole moment kilogram metre squared |
| t | variable | Time — time second |
| G | constant | Constant of gravitation in Newton's law — gravitational constant = 6.67430e-11 cubic metre per kilogram per second squared |
| c | constant | Universal speed limit and speed of light in vacuum — speed of light = 299792458 metre per second |
| d^2/dt^2 | operator | Second derivative with respect to time — second time derivative |
| \mathcal{R} | variable | Ricci scalar — ricci scalar per metre squared |
| \Lambda | variable | Cosmological constant — cosmological constant per metre squared |
| \rho | variable | Mass density — mass density kilogram per cubic metre |
| \Theta^i_j | variable | Expansion tensor — expansion tensor per second |
| \Theta | variable | Expansion scalar — expansion scalar per second |
| G | constant | Newton's constant of gravitation — gravitational constant = 6.67430e-11 cubic metre per kilogram per second squared |
| \dot{f}_{\mathrm{GW} | variable | time derivative of gravitational wave frequency — frequency derivative hertz per second |
| \mathcal{M} | variable | chirp mass of the binary system — chirp mass kilogram |
| f_{\mathrm{GW}} | variable | gravitational wave frequency — frequency hertz |
| G | constant | constant of universal gravitation — gravitational constant = 6.67430e-11 cubic metre per kilogram per second squared |
| c | constant | speed of light in vacuum — speed of light = 299792458 metre per second |
| M | variable | Total mass of the system — mass kilogram |
| R | variable | Characteristic radius of the system — radius metre |
| v | variable | Velocity dispersion (typical random velocity) — velocity dispersion metre per second |
| G | constant | Constant of universal gravitation — gravitational constant = 6.67430e-11 cubic metre per kilogram per second squared |
| theta | variable | deflection angle — angle radian |
| q | variable | distance of closest approach in absence of gravity — distance metre |
| r | variable | radial distance from the gravitating body — distance metre |
| M | variable | mass of the gravitating body — mass kilogram |
| v_infinity | variable | speed of the test particle at infinity — velocity metre per second |
| G | constant | Universal constant of gravitation — gravitational constant = 6.67430e-11 cubic metre per kilogram per second squared |
| sin | operator | trigonometric sine function — sine |
| sqrt | operator | takes the square root of the argument — square root |
| K | variable | radial velocity semi-amplitude — velocity metre per second |
| a | variable | semi-major axis — length metre |
| υ | variable | orbital velocity — velocity metre per second |
| ω | variable | angular frequency — angular frequency radian per second |
| P | variable | orbital period — time second |










