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We present a numerical model of a collapsing radiating sphere, whose boundary
surface undergoes bouncing due to a decreasing of its inertial mass density
(and, as expected from the equivalence principle, also of the gravitational'' force term) produced by the inertial’’ term of the transport equation. This
model exhibits for the first time the consequences of such an effect, and shows
that under physically reasonable conditions this decreasing of the
gravitational term in the dynamic equation may be large enough as to revert the
collapse and produce a bouncing of the boundary surface of the sphere.

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