  I summarize the theory of acceleration of non-neutral particle beams by
starvation electric fields along the polar magnetic field lines of rotation
powered pulsars, including the effect of dragging of inertial frames which
dominates the acceleration of a space charge limited beam. I apply these
acceleration results to a new calculation of the radio pulsar death line, under
the hypotheses that pulsar ``death'' corresponds to cessation of pair creation
over the magnetic poles and that the magnetic field has a locally dipolar
topology. While the frame dragging effect in star centered dipole geometry does
improve comparison of the theory with observation, an unacceptably large
fraction of the observed stars outside the bounds of pair creation theory still
persists. Offsetting the dipole improves the correspondence between theory and
observation. The result is a ``death valley'' for pulsars; acceptable
comparison of observation and theory occurs if the boundary of death valley
corresponds to offsets of the dipole center from the stellar center $\sim
(0.7-0.8) R_*$. I also point out that pulsars are absent for magnetic moments
corresponding to star centered polar fields in excess of $\sim 4 \times
10^{13}$ Gauss, and I suggest that this absence is due to pairs forming as
bound positronium atoms in such strong fields, creating a neutral,
relativistically outflowing gas which cannot participate in low altitude
collective radio emission processes in such strongly magnetized objects.
