  It is shown that the familiar Larmor's formula or its relativistic
generalization, Li\'enard's formula, widely believed to represent the
instantaneous radiative losses from an accelerated charge, are not compatible
with the special theory of relativity (STR). We demonstrate this in the case of
a charge emitting synchrotron radiation where the agency responsible for
acceleration (the magnetic field) does no work and thus all the energy-momentum
carried by the radiation has to be balanced unambiguously against the kinetic
energy-momentum of the moving charge. The application of the radiation reaction
inferred from Larmor's/Li\'enard's formulas in two different inertial frames,
yields results that are not in conformity with the relativistic
transformations. Further, we show that energy-momentum conservation is violated
in all inertial frames when we try to balance the energy-momentum carried by
the electromagnetic radiation against the loss of kinetic energy and momentum
of the radiating charge in accordance with Larmor's formula. We point out a
mathematical subtlety in the applicability of Poynting's theorem, that seems to
have been overlooked in the text-book derivation of Larmor's formula, where a
proper distinction between "real" and "retarded" times was not kept, and which
has therefore given rise to such anomalies, including the mysterious Schott
term, which happens to be nothing but the difference in rate of change of
energy in self-fields of the charge between retarded and present times.
