Explore the fascinating world of rapidly spinning neutron stars and their emission mechanisms in this lecture by Keith Riles, part of the Summer School on Gravitational-Wave Astronomy. Delve into the potential sources of continuous gravitational waves, focusing on rapidly spinning neutron stars in our galaxy. Learn about the physics behind these extreme objects and the mechanisms that could lead to gravitational wave emission. Gain insights into the ongoing search for these elusive signals and their significance in the field of gravitational-wave astronomy. Understand how upcoming observing runs of LIGO, Virgo, and KAGRA may contribute to potential detections of continuous gravitational waves from these sources.