30,553 research outputs found
Space-time defects :Domain walls and torsion
The theory of distributions in non-Riemannian spaces is used to obtain exact
static thin domain wall solutions of Einstein-Cartan equations of gravity.
Curvature -singularities are found while Cartan torsion is given by
Heaviside functions. Weitzenb\"{o}ck planar walls are caracterized by torsion
-singularities and zero curvature. It is shown that Weitzenb\"{o}ck
static thin domain walls do not exist exactly as in general relativity. The
global structure of Weitzenb\"{o}ck nonstatic torsion walls is investigated.Comment: J.Math.Phys.39,(1998),Jan. issu
Cuscuton kinks and branes
In this paper, we study a peculiar model for the scalar field. We add the
cuscuton term in a standard model and investigate how this inclusion modifies
the usual behavior of kinks. We find the first order equations and calculate
the energy density and the total energy of the system. Also, we investigate the
linear stability of the model, which is governed by a Sturm-Liouville
eigenvalue equation that can be transformed in an equation of the Shcr\"odinger
type. The model is also investigated in the braneworld scenario, where a first
order formalism is also obtained and the linear stability is investigated.Comment: 21 pages, 9 figures; content added; to appear in NP
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