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Numerical solutions of Einstein's and scalar-field equations are found for a global defect in a higher-dimensional spacetime. The defect has a $(3+1)$-dimensional core and a ``hedgehog'' scalar-field configuration in $n=3$ extra dimensions.…

High Energy Physics - Theory · Physics 2009-11-10 Inyong Cho , Alexander Vilenkin

Static and inflating brane world models are considered in $4+n$-dimensions with a non zero bulk cosmological constant and with a hyper-spherically symmetric topological defect residing in the $n$ extra dimensions. Several vacuum solutions…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Y. Brihaye , T. Delsate

We find numerical solutions of Einstein equations and scalar field equation for a global defect in higher dimensional spacetimes ($\geq 6$). We examine in detail the relation among the expansion rate $H$ and the symmetry-breaking scale…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Satsuki Shimono , Takeshi Chiba

Solutions of Einstein's equations are found for global defects in a higher-dimensional spacetime with a nonzero cosmological constant Lambda. The defect has a (p-1)-dimensional core (brane) and a `hedgehog' scalar field configuration in the…

High Energy Physics - Theory · Physics 2010-04-06 Itsaso Olasagasti , Alexander Vilenkin

A thin wall approximation is exploited to describe a global monopole coupled to gravity. The core is modelled by de Sitter space; its boundary by a thin wall with a constant energy density; its exterior by the asymptotic Schwarzschild…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Inyong Cho , Jemal Guven

We address some issues of topological defect inflation. (1) We clarify the causal structure of an inflating magnetic monopole. The spacetime diagram shows explicitly that this model is free from the ``graceful exit'' problem, while the…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Nobuyuki Sakai

We look for solutions in Einstein gravity corresponding to inflating braneworlds of arbitrary dimension and co-dimension. These solutions correspond to isolated sources (no long range fields). Using dynamical systems techniques, we show…

High Energy Physics - Theory · Physics 2009-11-10 Ruth Gregory

According to previous work, topological defects expand exponentially without an end if the vacuum expectation value of the Higgs field is of the order of the Planck mass. We extend the study of inflating topological defects to the…

General Relativity and Quantum Cosmology · Physics 2016-08-25 Nobuyuki Sakai , Jun'ichi Yokoyama , Kei-ichi Maeda

We study a 6-dimensional brane world model with an abelian string residing in the two extra dimensions. We study both static as well as inflating branes and find analytic solutions for the case of trivial matter fields in the bulk. Next to…

High Energy Physics - Theory · Physics 2008-11-26 Y. Brihaye , T. Delsate , B. Hartmann

We construct solutions of higher-dimensional Einstein gravity coupled to nonlinear $\sigma$-model with cosmological constant. The $\sigma$-model can be perceived as exterior configuration of a spontaneously-broken $SO(D-1)$ global…

General Relativity and Quantum Cosmology · Physics 2017-08-30 Ilham Prasetyo , Handhika S. Ramadhan

We study solutions of Einstein's equations corresponding codimension n>2 global topological defects with de Sitter slices. We analyze a class of solutions that are cylindrically symmetric and admit positive, negative or zero bulk…

High Energy Physics - Theory · Physics 2009-11-10 I. Olasagasti , K. Tamvakis

It has been proposed that, without invoking supersymmetry, it is possible to solve the hierarchy problem provided the fundamental scale in the higher dimensional theory is at a much lower scale than the Planck scale. In this paper we…

High Energy Physics - Phenomenology · Physics 2009-10-31 Anupam Mazumdar

Two co-dimensional thick brane-worlds are investigated in quite general terms for two intersecting scalar fields generating the extra dimension defect. In general, when one considers two co-dimensional thick brane-worlds, the warp factor is…

High Energy Physics - Theory · Physics 2022-01-05 Henrique Matheus Gauy , Alex E. Bernardini

Intersecting spacelike braneworld cosmologies are investigated. The time axis is set on the scale parameter of extra space, which may include more than one timelike metric. Obtained are eternally inflating (i.e. undergoing late-time…

High Energy Physics - Theory · Physics 2011-03-28 Riuji Mochizuki

We study the dynamics of topological defects in the context of ``topological inflation" proposed by Vilenkin and Linde independently. Analysing the time evolution of planar domain walls and of global monopoles, we find that the defects…

General Relativity and Quantum Cosmology · Physics 2014-11-17 Nobuyuki Sakai , Hisa-aki Shinkai , Takashi Tachizawa , Kei-ichi Maeda

We study cosmology on a conical brane in the six-dimensional Einstein-Maxwell-dilaton system, where the extra dimensions are compactified by a magnetic flux. We systematically construct exact cosmological solutions using the fact that the…

High Energy Physics - Theory · Physics 2009-11-13 Tsutomu Kobayashi , Masato Minamitsuji

We comment on approaches to the Cosmological Constant Problem in 4+1 dimensions, with the Standard Model fields confined to a 3-brane. We show that requiring maximal 4D symmetry only on this 3-brane (and not on all other 3-branes that…

General Relativity and Quantum Cosmology · Physics 2022-11-28 Josef Seitz

According to previous work on magnetic monopoles, static regular solutions are nonexistent if the vacuum expectation value of the Higgs field $\eta$ is larger than a critical value $\eta_{{\rm cr}}$, which is of the order of the Planck…

General Relativity and Quantum Cosmology · Physics 2011-09-09 Nobuyuki Sakai

We study cosmological perturbations in the brane models with an induced Einstein-Hilbert term on a brane. We consider an inflaton confined to a de Sitter brane in a five-dimensional Minkowski spacetime. Inflaton fluctuations excite…

General Relativity and Quantum Cosmology · Physics 2016-08-31 Kazuya Koyama , Shuntaro Mizuno

According to previous work on magnetic monopoles, static regular solutions are nonexistent if the vacuum expectation value of the Higgs field $\eta$ is larger than a critical value $\eta_{{\rm cr}}$, which is of the order of the Planck…

General Relativity and Quantum Cosmology · Physics 2008-02-03 Nobuyuki Sakai
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