  In this paper we study the possibility of efficient pair production in a
pulsar's magnetosphere. It has been shown that by means of the relativistic
centrifugal force the electrostatic field exponentially amplifies. As a result
the field approaches the Schwinger limit leading to pair creation process in
the light cylinder area where the effects of rotation are very efficient.
Analysing the parameters of the normal period ($\sim 1$ sec) pulsars we have
found that the process is so efficient that the number density of
electron-positron pairs exceeds the Goldreich-Julian density by five orders of
magnitude.
