  The high-temperature plasma in the solar interior generates stochastic
gravitational waves (GWs). Due to its significance as the primary source of
high-frequency GWs in the solar system, we reexamine this phenomenon
highlighting some physical processes, including the contribution of macroscopic
hydrodynamic fluctuations. Our analysis builds upon several studies of axion
emission from the Sun, particularly in relation to the treatment of plasma
effects. Similar to many well-motivated Early Universe signals, we find that
the resulting GW spectrum is several orders of magnitude below the current
sensitivities of axion helioscopes such as (Baby)IAXO.
