  We show that the Einstein field equations for a five-dimensional warped
spacetime, where only gravity can propagate into the bulk, determine the
dynamical evolution of the warp factor of the four-dimensional brane spacetime.
This can be explained as a holographic manifestation. The warped 5D model can
be reformulated by considering the warp factor as a dilaton field ($\omega$)
conformally coupled to gravity and embedded in a smooth $M_4 \otimes R$
manifold. On the brane, where the U(1) scalar gauge fields live, the dilaton
field manifests itself classically as a warp factor and enters the evolution
equations for the metric components and matter fields. We write the Lagrangian
for the Einstein-scalar gauge fields in a conformal invariant setting. However,
as expected, the conformal invariance is broken (trace-anomaly) by the
appearance of a mass term and a quadratic term in the energy-momentum tensor of
the scalar gauge field, arising from the extrinsic curvature terms in the
projected Einstein tensor. These terms can be interpreted as a constraint in
order to maintain conformal invariance. By considering the dilaton field and
Higgs field on equal footing on small scales, there will be no singular
behavior, when $\omega\rightarrow 0$ and one can deduce constraints to maintain
regularity of the action. Our conjecture is that $\omega$, alias warp factor,
has a dual meaning. At very early times, when $\omega \rightarrow 0$, it
describes the small-distance limit, while at later times it is a warp (or
scale) factor that determines the dynamical evolution of the universe. We also
present a numerical solution of the model and calculate the (time-dependent)
trace-anomaly. The solution depends on the mass ratio of the scalar and gauge
fields, the parameters of the model and the vortex charge $n$.
