We derive and discuss the equations of radiation hydrodynamics with all rad
iation quantities expressed in the laboratory frame. Relativistically exact
transformations from the comoving to laboratory frame are used. We obtain
simple, fully covariant, expressions for the radiation energy and momentum
source/sink terms using lab-frame radiation quantities. The mathematical si
mplicity of having lab-frame radiation quantities in conservative operators
on the left-hand side is maintained. The resulting system can be solved ef
ficiently using an Eddington tensor formulation for angular dependences, an
d an iterative frequency-splitting, in the spirit of the multifrequency-gra
y method. Use of lab-frame radiation quantities can present numerical diffi
culties in making an accurate connection to the diffusion limit for extreme
ly optically thick media; but it may have no difficulty for neutron-transpo
rt problems where very large scattering-thicknesses are generally not encou
ntered (for non-critical systems). Published by Elsevier Science Ltd.