May 24, 1999
Search for a Realistic M-theory Cosmology
Dr. Andrew Chamblin, Cambridge Univ
Motivated by the ``universe as a brane'' idea, we investigate the motion of a
$(D-2)$-brane (or domain wall) that couples
to bulk matter. Usually one would expect the spacetime outside such a wall to be
time dependent however we show that in
certain cases it can be static, with consistency of the Israel equations
yielding relationships between the bulk metric and matter
that can be used as ans\"atze to solve the Einstein equations. As a concrete
model we study a domain wall coupled to a bulk dilaton
with Liouville potentials for the dilaton both in the bulk and on the wall. The
bulk solutions we find are all singular but some
have black hole or cosmological horizons, beyond which our solutions describe
domain walls moving in time dependent bulks.
A significant period of world volume inflation occurs if the potential on the
wall is not too steep; in some cases the bulk also
inflates (with the wall comoving) while in others the wall moves relative to a
non-inflating bulk. We apply our method to obtain
new cosmological solutions of Horava-Witten theory compactified on a Calabi-Yau
space.
hep-th/9903225
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