Pulsars are incredibly dense, rapidly rotating neutron stars. They emit beams of radiation from their magnetic poles. While there are pulsars scattered throughout the Milky Way, they are typically found far from the Sun, at distances of hundreds or even thousands of light-years.
The Sun's neighborhood is relatively empty of such objects. This is because pulsars are formed from the supernova explosions of massive stars, which are relatively rare. The Sun is a relatively small star and is not massive enough to become a pulsar.
