  For slowly spinning matter the rate of energy loss via radiation of
gravitational waves is estimated in General Relativity (GR) within a generally
covariant superenergy approach. This estimation differs from Einstein's
Quadrupole Formula (EQF) by a suppression factor ($\Pi\ll1$). For a symmetric
two-body-like distribution of scalar matter $\Pi$ is estimated to be
$\ll(v/c)^2(r/R)^2$, where $v$ is orbital velocity of the bodies, $c$ -
velocity of light, $r$ - radius of each body, and $R$ -- the inter-body
distance. This contradiction with EQF is briefly discussed.
