On Warped String Vacuum Profiles and Cosmologies, II. Non-Supersymmetric
  Strings
  We investigate the effects of the leading tadpole potentials of 10D
tachyon-free non-supersymmetric strings in warped products of flat geometries
of the type M(p+1) x R x T(10-p-2) depending on a single coordinate. In the
absence of fluxes and for p<8, there are two families of these vacua for the
orientifold disk-level potential, both involving a finite internal interval.
Their asymptotics are surprisingly captured by tadpole-free solutions,
isotropic for one family and anisotropic at one end for the other. In contrast,
for the heterotic torus-level potential there are four types of vacua. Their
asymptotics are always tadpole-dependent and isotropic at one end lying at a
finite distance, while at the other end, which can lie at a finite or infinite
distance, they can be tadpole-dependent isotropic or tadpole-free anisotropic.
We then elaborate on the general setup for including symmetric fluxes, and
present the three families of exact solutions that emerge when the orientifold
potential and a seven-form flux are both present. These solutions include a
pair of boundaries, which are always separated by a finite distance. In the
neighborhood of one, they all approach a common supersymmetric limit, while the
asymptotics at the other boundary can be tadpole-free isotropic, tadpole-free
anisotropic or again supersymmetric. We also discuss corresponding cosmologies,
with emphasis on their climbing or descending behavior at the initial
singularity. In some cases the toroidal dimensions can contract during the
cosmological expansion.
