scholarly journals STATIC MONOPOLES AND THEIR ANTICONFIGURATIONS

2005 ◽  
Vol 20 (18) ◽  
pp. 4291-4307 ◽  
Author(s):  
ROSY TEH ◽  
KHAI-MING WONG
Keyword(s):  
Exact Solutions ◽  
Magnetic Charge ◽  
Rotational Symmetry ◽  
Axially Symmetric ◽  
First Order ◽  
Half Integer ◽  
Infinite Energy

Recently, we have reported on the existence of some monopoles, multimonopole, and antimonopoles configurations. In this paper we would like to present more monopoles, multimonopole, and antimonopoles configurations of the magnetic ansatz of Ref. 9 when the parameters p and b of the solutions takes different serial values. These exact solutions are a different kind of BPS solution. They satisfy the first order Bogomol'nyi equation but possess infinite energy. They can have radial, axial, or rotational symmetry about the z-axis. We classified these serial solutions as (i) the multimonopole at the origin; (ii) the finitely separated 1-monopoles; (iii) the screening solutions of multimonopole and (iv) the axially symmetric monopole solutions. We also give a construction of their anticonfigurations with all the magnetic charges of poles in the configurations reversed. Half-integer topological magnetic charge multimonopole also exist in some of these series of solutions.

scholarly journals HALF-MONOPOLE AND MULTIMONOPOLE

2005 ◽  
Vol 20 (10) ◽  
pp. 2195-2204 ◽  
Author(s):  
ROSY TEH ◽  
K. M. WONG
Keyword(s):  
Natural Number ◽  
Topological Charge ◽  
Magnetic Charge ◽  
Axially Symmetric ◽  
Yang Mills ◽  
First Order ◽  
Half Integer

We would like to present some exact SU(2) Yang–Mills–Higgs monopole solutions of half-integer topological charge. These solutions can be just an isolated half-monopole or a multimonopole with topological magnetic charge ½m where m is a natural number. These static monopole solutions satisfy the first order Bogomol'nyi equations. The axially symmetric one-half monopole gauge potentials possess a Dirac-like string singularity along the negative z-axis. The multimonopole gauge potentials are also singular along the z-axis and possess only mirror symmetries.

scholarly journals EXACT SOLUTIONS OF THE SU(2) YANG–MILLS–HIGGS THEORY

2001 ◽  
Vol 16 (20) ◽  
pp. 3479-3486 ◽  
Author(s):  
ROSY TEH
Keyword(s):  
Exact Solutions ◽  
Axially Symmetric ◽  
Yang Mills ◽  
First Order ◽  
Static Solutions ◽  
Infinite Energy

Some exact static solutions of the SU(2) Yang–Mills–Higgs theory are presented. These solutions do satisfy the first order Bogomol'nyi equations, and possess infinite energy. They are axially symmetric and could possibly represent monopoles and an antimonopole sitting on the z-axis.

scholarly journals DYONS OF ONE-HALF MONOPOLE CHARGE

2006 ◽  
Vol 21 (26) ◽  
pp. 5285-5298
Author(s):  
ROSY TEH ◽  
KHAI-MING WONG
Keyword(s):  
Energy Density ◽  
Electromagnetic Fields ◽  
Axially Symmetric ◽  
Yang Mills ◽  
First Order ◽  
Line Singularity ◽  
Infinite Energy

We would like to present some exact SU(2) Yang–Mills–Higgs dyon solutions of one-half monopole charge. These static dyon solutions satisfy the first order Bogomol'nyi equations and are characterized by a parameter, m. They are axially symmetric. The gauge potentials and the electromagnetic fields possess a string singularity along the negative z-axis and hence they possess infinite energy density along the line singularity. However the net electric charges of these dyons which varies with the parameter m are finite.

MULTIMONOPOLE–ANTIMONOPOLE SOLUTIONS OF THE SU(2) YANG–MILLS–HIGGS FIELD THEORY

2004 ◽  
Vol 19 (03) ◽  
pp. 371-391 ◽  
Author(s):  
ROSY TEH ◽  
K. M. WONG
Keyword(s):  
Field Theory ◽  
Axial Symmetry ◽  
Topological Index ◽  
Higgs Field ◽  
Spherically Symmetric ◽  
Axially Symmetric ◽  
Yang Mills ◽  
First Order ◽  
Infinite Energy ◽  
Special Case

In this paper we constructed exact static multimonopole–antimonopole solutions of the YMH field theory. By labelling these solutions as A1, A2, B1, and B2, we notice that the exact axially symmetric 1-monopole — two antimonopoles solution is actually a special case of the A1 solution when the topological index parameter m=1. Also the B1 solution will reduce to a spherically symmetric Wu–Yang type monopole of unit charge when m=0. All these exact solutions satisfy the first order Bogomol'nyi equations and possess infinite energy. Hence they are a different type of the BPS solution. Except for the A1 solution when m=1 and the B1 solution when m=0, these solutions in general do not possess axial symmetry. They represent different combinations of monopoles, multimonopole, and antimonopoles, symmetrically arranged about the z-axis.

scholarly journals Breaking the cosmological background degeneracy by two-fluid perturbations in f(R) gravity

2015 ◽  
Vol 24 (07) ◽  
pp. 1550053 ◽  
Author(s):  
Amare Abebe
Keyword(s):  
General Relativity ◽  
Exact Solutions ◽  
Structure Formation ◽  
Background Level ◽  
Cosmological Perturbations ◽  
Gauge Invariant ◽  
First Order ◽  
Cosmological Background ◽  
Theories Of Gravity ◽  
Two Fluid

One of the exact solutions of f(R) theories of gravity in the presence of different forms of matter exactly mimics the ΛCDM solution of general relativity (GR) at the background level. In this work we study the evolution of scalar cosmological perturbations in the covariant and gauge-invariant formalism and show that although the background in such a model is indistinguishable from the standard ΛCDM cosmology, this degeneracy is broken at the level of first-order perturbations. This is done by predicting different rates of structure formation in ΛCDM and the f(R) model both in the complete and quasi-static regimes.

scholarly journals Axially symmetric exact solutions for flagpole fermions with gravity

2020 ◽  
Vol 135 (2) ◽  
Author(s):  
Roberto Cianci ◽  
Luca Fabbri ◽  
Stefano Vignolo
Keyword(s):  
Exact Solutions ◽  
Axially Symmetric

scholarly journals A Partial Lagrangian Approach to Mathematical Models of Epidemiology

2015 ◽  
Vol 2015 ◽  
pp. 1-11 ◽  
Author(s):  
R. Naz ◽  
I. Naeem ◽  
F. M. Mahomed
Keyword(s):  
Mathematical Models ◽  
Exact Solutions ◽  
Numerical Solutions ◽  
First Integrals ◽  
Order Equation ◽  
Second Order ◽  
Lagrangian Approach ◽  
Hiv Model ◽  
First Order ◽  
Partial Lagrangian

This paper analyzes the first integrals and exact solutions of mathematical models of epidemiology via the partial Lagrangian approach by replacing the three first-order nonlinear ordinary differential equations by an equivalent system containing one second-order equation and a first-order equation. The partial Lagrangian approach is then utilized for the second-order ODE to construct the first integrals of the underlying system. We investigate the SIR and HIV models. We obtain two first integrals for the SIR model with and without demographic growth. For the HIV model without demography, five first integrals are established and two first integrals are deduced for the HIV model with demography. Then we utilize the derived first integrals to construct exact solutions to the models under investigation. The dynamic properties of these models are studied too. Numerical solutions are derived for SIR models by finite difference method and are compared with exact solutions.

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