  The energy-momentum budget of the astrophysical systems can be studied by the
exact local conservation equation derived by Landau and Lifshitz. We show that
a similar equation is valid for the Einstein-Cartan gravity. We reanalyze a
binary pulsar system using the Landau-Lifshitz conservation equation and show
that the orbital period change rate can be completely understood as a curvature
backreaction process. Taking into account the detailed theoretical and
observational research of relativistic binary pulsar systems, especially the
system of Hulse and Taylor, we conclude that general relativity and
astrophysical observations rule out the existence of gravitational radiation.
We comment upon the LIGO GW events and their alternative explanation, as well
as the recent pulsar timing arrays data.

Astrophysics;General Relativity and Quantum Cosmology;High Energy Physics - Phenomenology