
Sudden increases in pulsar spin rate due to internal neutron star dynamics.A pulsar glitch is a sudden, tiny increase in the rotation rate of a pulsar, followed by a slow relaxation back to its normal spin-down. Pulsars are neutron stars that spin with incredible regularity, but occasionally they 'stutter' — their rotation speeds up by a fraction of a percent in a matter of minutes or hours. These glitches are among the most dramatic events in neutron star physics, offering a rare glimpse into the interior of these extreme objects.
The first pulsar glitch was observed in 1969 in the Vela pulsar, just two years after the discovery of pulsars themselves. Since then, hundreds of glitches have been recorded, with the Vela pulsar glitching roughly every few years.
The leading explanation is that a pulsar's interior contains a superfluid of neutrons that rotates independently of the outer crust. As the crust slows down due to magnetic braking, the superfluid continues to spin faster. Eventually, the velocity difference becomes so large that the superfluid suddenly transfers angular momentum to the crust, giving it a kick — the glitch. This is analogous to a spinning ice skater pulling in their arms, but on a cosmic scale.
Glitch observations help constrain the equation of state of nuclear matter — the relationship between pressure and density inside neutron stars — which is crucial for understanding the most extreme states of matter in the universe.
The Vela pulsar's glitches are so regular that they have been compared to a cosmic clock that occasionally ticks twice — and this behavior was used to rule out some models of neutron star interiors.
| t | variable | Spin-down timescale — time second |
| P | variable | Rotation period — time second |
| B | variable | Magnetic field strength at the surface — magnetic flux density tesla |
| η | variable | peculiar velocity gradient — dimensionless |
| v_pec | variable | radial peculiar velocity — velocity metre per second |
| n | variable | radial direction coordinate — length metre |
| a | variable | scale factor of the universe — dimensionless |
| H | variable | Hubble parameter — frequency per second |
| ∇_n | operator | gradient along the radial direction — nabla operator |




















