scholarly journals A de-Sitter thick domain wall solution by elliptic functions

2002 ◽  
Vol 2002 (02) ◽  
pp. 026-026 ◽  
Author(s):  
Naoki Sasakura
Keyword(s):  
Domain Wall ◽  
Elliptic Functions ◽  
De Sitter ◽  
Domain Wall Solution

scholarly journals Domain Walls from M-Branes

1997 ◽  
Vol 12 (15) ◽  
pp. 1087-1094 ◽  
Author(s):  
H. Lü ◽  
C. N. Pope
Keyword(s):  
Domain Wall ◽  
Dimensional Reduction ◽  
Domain Walls ◽  
Additional Term ◽  
Cosmological Term ◽  
Domain Wall Solution ◽  
Toroidal Compactifications ◽  
Four Manifolds ◽  
M Theory ◽  
Kaluza Klein

We discuss the vertical dimensional reduction of M-sbranes to domain walls in D=7 and D=4, by dimensional reduction on Ricci-flat four-manifolds and seven-manifolds. In order to interpret the vertically-reduced five-brane as a domain wall solution of a dimensionally-reduced theory in D=7, it is necessary to generalize the usual Kaluza–Klein ansatz, so that the three-form potential in D=11 has an additional term that can generate the necessary cosmological term in D=7. We show how this can be done for general four-manifolds, extending previous results for toroidal compactifications. By contrast, no generalization of the Kaluza–Klein ansatz is necessary for the compactification of M-theory to a D=4 theory that admits the domain-wall solution coming from the membrane in D=11.

SCALAR KINK BRANEWORLDS AND COSMOLOGY

2007 ◽  
Vol 22 (25n28) ◽  
pp. 1959-1969
Author(s):  
RAYMOND R. VOLKAS
Keyword(s):  
Domain Wall ◽  
Standard Model ◽  
Domain Walls ◽  
Dimensional Space ◽  
De Sitter ◽  
Frw Metric ◽  
Fermion Localization

Our universe might be a domain wall or kink carrying localized standard model fields embedded in a 4 + 1-dimensional space. I report on some initial studies of the cosmology of such a model, focusing on the relatively simple de Sitter (dS) and Anti-de Sitter (AdS) cases for the effective 3 + 1-dimensional FRW metric. Fermion localization to the AdS4 and dS4 domain walls is briefly discussed.

scholarly journals Casimir Effect in Domain Wall Formation

2003 ◽  
Vol 18 (23) ◽  
pp. 4285-4293 ◽  
Author(s):  
M. R. Setare
Keyword(s):  
Domain Wall ◽  
Boundary Conditions ◽  
Mixed Boundary ◽  
Casimir Effect ◽  
Mixed Boundary Conditions ◽  
Massless Scalar ◽  
Massless Scalar Field ◽  
Parallel Plates ◽  
De Sitter ◽  
Casimir Forces

The Casimir forces on two parallel plates in conformally flat de Sitter background due to conformally coupled massless scalar field satisfying mixed boundary conditions on the plates is investigated. In the general case of mixed boundary conditions formulae are derived for the vacuum expectation values of the energy–momentum tensor and vacuum forces acting on boundaries. Different cosmological constants are assumed for the space between and outside of the plates to have general results applicable to the case of domain wall formations in the early universe.

AN E6 INVARIANT ACTION LEADING TO AN SU(5) GRAND UNIFICATION ON A DOMAIN WALL

2009 ◽  
Vol 24 (18n19) ◽  
pp. 3316-3326
Author(s):  
KAMESHWAR C. WALI
Keyword(s):  
Domain Wall ◽  
Symmetry Breaking ◽  
Recent Work ◽  
Gauge Boson ◽  
Grand Unification ◽  
Invariant Action ◽  
Wall Formation ◽  
Domain Wall Solution

The paper presents a summary of some recent work on a SU(5) grand unification scheme for effective 3 + 1 dimensional fields dynamically localized on a domain-wall brane. This is achieved through the confluence of the clash-of-symmetries mechanism for symmetry breaking through domain-wall formation and the Dvali-Shifman gauge boson localization idea. It is shown that it requires an E6 invariant action, yielding a domain-wall solution that has E6 broken to differently embedded SO(10) ⊗ U(1) subgroups in the two bulk regions on the opposites of the wall.

scholarly journals Kottler spacetime in isotropic static coordinates

2021 ◽  
Author(s):  
Rahulkumar Solanki
Keyword(s):  
Elliptic Functions ◽  
Time Dependent ◽  
Refractive Indices ◽  
Coordinate Transformations ◽  
De Sitter ◽  
Canonical Coordinates ◽  
Jacobian Elliptic Functions ◽  
Null Geodesics ◽  
Isotropic Coordinates ◽  
De Sitter Metric

Abstract The Kottler spacetime in isotropic coordinates is known where the metric is time-dependent. In this paper, the Kottler spacetime is given in isotropic static coordinates (i.e., the metric components are time-independent). The metric is found in terms of the Jacobian elliptic functions through coordinate transformations from the Schwarzschild-(anti-)de Sitter metric. In canonical coordinates, it is known that the unparameterized spatially projected null geodesics of the Kottler and Schwarzschild spacetimes coincide. We show that in isotropic static coordinates, the refractive indices of Kottler and Schwarzschild are not proportional, yielding spatially projected null geodesics that are different.

scholarly journals Domain wall solution for vectorlike model

1998 ◽  
Vol 423 (1-2) ◽  
pp. 40-44 ◽  
Author(s):  
Tomohiro Matsuda
Keyword(s):  
Domain Wall ◽  
Domain Wall Solution

scholarly journals DOMAIN WALL SOLUTION OF THE SKYRME MODEL

2006 ◽  
Vol 21 (28n29) ◽  
pp. 5845-5859
Author(s):  
CHANG-GUANG SHI ◽  
MINORU HIRAYAMA
Keyword(s):  
Energy Density ◽  
Domain Wall ◽  
Skyrme Model ◽  
The Other ◽  
Hyperbolic Function ◽  
Weierstrass Function ◽  
Domain Wall Solution ◽  
Special Limit ◽  
Static Energy

A class of domain-wall-like solutions of the Skyrme model is obtained analytically. They are described by the tangent hyperbolic function, which is a special limit of the Weierstrass ℘ function. The behavior of one of the two terms in the static energy density is like that of a domain wall. The other term in the static energy density does not vanish but becomes constant at the points far apart from the wall.

ELASTICA ON 2-DIMENSIONAL ANTI-DE SITTER SPACE

2011 ◽  
Vol 08 (01) ◽  
pp. 107-113 ◽  
Author(s):  
AHMET YÜCESAN ◽  
MEHMET ORAL
Keyword(s):  
Differential Equations ◽  
Elliptic Functions ◽  
De Sitter Space ◽  
De Sitter ◽  
Elastic Curve ◽  
Elastic Curves ◽  
Curvature And Torsion

We derive differential equations for non-null elastic curves on 2-dimensional anti-de Sitter space. Then, we solve these differential equations in terms of Jacobi's elliptic functions. Also, we give a relation between curvature and torsion of elastic curve on 2-dimensional anti-de Sitter space.

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