This work aims to provide a
ontribution to the brane world s
enario. In order to a
-
omplish this, we propose two dierent s
enarios that extend models already know in
the literature. This issue has been extensively explored in re
ent years due to the fa
t
that the eld is
losely related to fundamental questions in parti
le physi
s su
h as the
problem of hierar
hy, asymmetry matter and antimatter and the
osmologi
al
onstant
problem. Sin
e the relationship between physi
s and geometry of the multidimensional
spa
etime has a very strong relationship, it is of fundamental interest to verify the possible
in uen
es that this geometry have on the physi
al properties of our brane. In prin
iple,
we do not know how the standard model elds are ae
ted by geometri
al
hanges in the
environment spa
e. The eld used as the obje
t of study is the ve
tor one, sin
e it is not
originally lo
alized in the Randall-Sundrum model des
ribed by its usual a
tion. In the
rst proposal we analyze the ve
tor eld behavior in an spa
etime build as dire
t produ
t
of 3-brane and a se
tion of the resolved
onifold. This s
enario is an extension of the brane
s
enario
alled string-like and has a remarkable
hara
teristi
, the presen
e of a geometri
fa
tor, the resolution parameter, whi
h
an be used to regulate singularities at the origin,
massives modes and the potential asso
iated with the Kaluza-Klein modes. The se
ond
proposal is based on a steady-state solution of the Ri
i ow known as Hamilton soliton
igar. This s
enario, in addition to promoving the smoothing of solutions, ful lls all the
onditions of regularity at the origin. Thus representing an internal and external solution
to the default string-like type.
Keywords: Branewolrd, Ve
tor eld, Resolved Conifold, Ri
i Flow.
