Gravitational Waves

Science — James William Steven Parker

Gravitational Waves are propagating disturbances in the gravitational field and spacetime geometry that travel outward from changing distributions of mass and energy under conditions involving time varying gravitational quadrupole structure. In General Relativity they are ripples in the metric geometry rather than waves travelling through a material medium. They propagate through vacuum at the invariant speed of light. Strong sources include merging black holes, merging neutron stars and certain rapidly changing asymmetric astrophysical systems. Gravitational waves carry energy and angular momentum away from their sources and produce extremely small but measurable changes in the relative distances between freely falling test masses. Their existence was predicted by General Relativity long before the first direct detections.

The generation of Gravitational Waves is constrained by conservation laws and the multipole structure of gravitational radiation. A changing mass monopole cannot radiate gravitational waves because total mass energy is conserved, and a changing mass dipole does not provide ordinary gravitational radiation because momentum conservation constrains the centre of mass motion. The leading radiation from an isolated nonrelativistic source is therefore quadrupolar. Binary systems are particularly efficient sources because two compact objects orbit one another and continuously change their mass quadrupole distribution. As the system loses energy through gravitational radiation, the orbit shrinks and the orbital frequency increases, producing the characteristic inspiral pattern observed from compact binary mergers.

The first indirect evidence for Gravitational Waves came from observations of the binary pulsar discovered by Russell Hulse and Joseph Taylor. Precise timing of the pulsars showed that the orbital period was decreasing at a rate consistent with energy loss predicted by General Relativity through gravitational radiation. This result provided strong evidence for gravitational wave emission before direct detection became technologically possible. The direct detection of gravitational waves was achieved in 2015 by the LIGO collaboration from a binary black hole merger, with the result announced in 2016. The signal matched the predicted waveform for a compact binary coalescence and opened a new observational field.

Ground based gravitational wave observatories such as LIGO and Virgo use laser interferometry to measure extraordinarily small changes in the relative lengths of perpendicular optical paths. A passing Gravitational Wave produces a pattern of stretching in one transverse direction while compressing the perpendicular direction, followed by the opposite pattern as the wave passes. The resulting differential length changes are extraordinarily small, requiring long interferometer arms, highly stable lasers, sophisticated isolation from seismic disturbances, vacuum systems and extensive noise reduction. The detectors are sensitive to many environmental and instrumental disturbances, so data analysis requires careful identification and removal or modelling of noise.

The characteristic signal from a compact binary merger contains several phases. During inspiral the orbital frequency and gravitational wave frequency increase as energy is radiated. The strongest part of the signal occurs around merger, after which a newly formed compact object settles toward a stable final state during ringdown. The exact waveform depends on properties such as component masses, spins, orbital orientation and source distance. Comparing observed waveforms with General Relativity based templates allows researchers to estimate source parameters. This process turns gravitational wave detection into a form of astronomical measurement capable of revealing properties that may be difficult to obtain from electromagnetic observations alone.

Gravitational Waves have enabled multimessenger astronomy when their sources also produce electromagnetic or other observable signals. The 2017 detection of a neutron star merger was accompanied by electromagnetic observations across multiple wavelengths, providing information about the source, its environment and the production of heavy elements. Gravitational wave observations can also detect systems that are electromagnetically dark, such as mergers involving black holes that emit little or no electromagnetic radiation. This makes gravitational wave astronomy complementary to traditional telescopic astronomy. The combined observations can constrain source distances, environments, nuclear physics and cosmological parameters.

Gravitational Waves have frequencies that vary widely depending on their sources and detection method. Ground based interferometers are sensitive mainly to relatively high frequency signals from stellar mass compact binaries and certain other sources. Space based interferometers are designed to detect lower frequency waves from much more massive systems and other long lived sources. Pulsar timing arrays can probe still lower frequency gravitational wave backgrounds by monitoring correlated variations in the arrival times of pulses from many highly stable pulsars. These approaches form complementary windows into the gravitational wave spectrum rather than competing measurements of exactly the same population of sources.

A common misconception is that Gravitational Waves are ordinary vibrations of space travelling through an existing medium. They are instead propagating changes in spacetime geometry. Another misconception is that the stretching effect means objects are simply pushed and pulled mechanically by an external force. Freely falling bodies respond to the changing spacetime geometry and the measurable effect is fundamentally a change in their relative separation.

Gravitational waves are extraordinarily weak by the time they reach Earth, but their detection demonstrates that spacetime can carry energy and information away from dynamic astrophysical systems. Their observation provides both a new astronomical messenger and stringent tests of General Relativity in strong and rapidly changing gravitational fields.