  The paradox of a free falling radiating charged particle in a gravitational
field, is a well-known fascinating conceptual challenge that involves classical
electrodynamics and general relativity. We discuss this paradox considering the
emission of radiation as a consequence of an explicit space/time symmetry
breaking involving the electric field within the trajectory of the particle
seen from an external observer. This occurs in certain particular cases when
the relative motion of the charged particle does not follow a geodesic of the
motion dictated by the explicit Lagrangian formulation of the problem and thus
from the metric of spacetime. The problem is equivalent to the breaking of
symmetry within the spatial configuration of a radiating system like an
antenna: when the current is not conserved at a certain instant of time within
a closed region then emission of radiation occurs [1]. Radiation from a system
of charges is possible only when there is explicit breaking of symmetry in the
electric field in space and time.
