  The aim of the present paper is two-fold. First we describe the Lagrangian
dynamics of a recently proposed new class of lightlike p-branes and their
interactions with bulk space-time gravity and electromagnetism in a
self-consistent manner. Next, we discuss the role of lightlike branes as
natural candidates for wormhole "throats" and exemplify the latter by
presenting an explicit construction of a new type of asymmetric wormhole
solution where the lightlike brane connects a "right" universe with
Reissner-Nordstroem geometry to a "left" Bertotti-Robinson universe with two
compactified space dimensions.
