The rate at which an object rotates, a property of black holes and neutron stars inferred from waveforms.Spin rate is the angular velocity of a rotating object, a fundamental property of compact astrophysical bodies like black holes and neutron stars. For black holes, the spin rate is inferred from the gravitational wave signals emitted during mergers, as the waveform encodes how spacetime is dragged around the rotating mass. For neutron stars, spin rate is directly measurable through periodic pulses of radiation, and it reveals information about their internal structure and evolution.
The concept of spin for black holes was developed in the 1960s with the Kerr solution to Einstein's equations, which describes a rotating black hole. The first direct measurement of black hole spin via gravitational waves came in 2015 with the LIGO detection of a binary black hole merger.
In gravitational wave astronomy, the spin of a black hole affects the orbit of a binary system and the shape of the emitted waves. By matching observed waveforms to theoretical models, scientists extract the spin parameter. For neutron stars, the spin rate is measured by timing the arrival of radio pulses; irregularities in this timing, such as glitches, provide clues about the star's interior, including superfluidity and crust dynamics.
Spin rate measurements are used to test general relativity, study the equation of state of neutron star matter, and understand the formation and evolution of compact binaries.
Some neutron stars, called millisecond pulsars, spin hundreds of times per second, and their spin rates are so stable that they rival atomic clocks in precision.
























