An exact solution of the Einstein-Maxwell equations referring to a magnetic dipole

1966 ◽  
Vol 190 (4) ◽  
pp. 444-445 ◽  
Author(s):  
W. B. Bonnor
Keyword(s):  
Exact Solution ◽  
Magnetic Dipole ◽  
Maxwell Equations

RESPONSE OF THIN DYKE TO OSCILLATING DIPOLE

Geophysics ◽  
1958 ◽  
Vol 23 (1) ◽  
pp. 134-143 ◽  
Author(s):  
James Paul Wesley
Keyword(s):  
Exact Solution ◽  
Magnetic Dipole ◽  
Analytical Continuation ◽  
Dipole Source ◽  
Finite Conductivity ◽  
First Approximation ◽  
Sulfide Ore ◽  
Infinite Slab ◽  
Infinite Conductivity

A dyke of sulfide ore may be geophysically prospected by observing its response to a slowly oscillating magnetic dipole source. To a first approximation the field produced by a thin dyke is given by a dyke of infinite conductivity and vanishing thickness in a vacuum (Wesley, 1958, Geophysics, v. 23, p. 128). In order to identify the ore and to estimate the size of the deposit, it is necessary to consider further approximations involving the conductivity and thickness of the dyke. By a type of analytical continuation an approximation is found which agrees both with the exact solution for a dyke of infinite conductivity and vanishing thickness and with the exact solution (approximated only for ωσ large and also for σ small) for an infinite slab of finite conductivity and nonvanishing thickness, the dyke appearing as an infinite slab when both source and observer are near the dyke but far removed from the edge. The solution is very good provided the dyke is geometrically thin.

scholarly journals Scattering of Fermions by a Magnetic Dipole Field

2021 ◽  
Vol 0 (0) ◽  
Author(s):  
Sergiu Hategan ◽  
Cosmin Crucean
Keyword(s):  
Magnetic Field ◽  
Exact Solution ◽  
Differential Cross Section ◽  
Magnetic Dipole ◽  
Cross Section ◽  
Differential Cross ◽  
Coulomb Scattering ◽  
Minkowski Space Time ◽  
Magnetic Dipole Field ◽  
The Magnetic Field

Abstract In this paper we study the problem of fermions scattering by the field of a magnetic dipole in Minkowski space-time. The amplitude and differential cross section for scattering of massive fermions are obtained using the exact solution of the Dirac equation written in the helicity basis. We found that the most probable transitions are those that scatter the fermions perpendicular to the direction of the magnetic field and we consider only the transverse momenta in our analysis. The differential cross section behavior in terms of scattering angle and energy is graphically analysed and we perform a comparative study with the Coulomb scattering.

scholarly journals Research on the Multicomponent Diffusion Theory and its Application to the Calculation of Evaporation Histories of Multicomponent Droplets

1985 ◽  
Author(s):  
Zhang Zhen-Tang ◽  
Dong Yao-De ◽  
Li Ru-Hui
Keyword(s):  
Experimental Data ◽  
Exact Solution ◽  
Maxwell Equations ◽  
Diffusion Theory ◽  
Multicomponent Diffusion ◽  
Ternary Diffusion ◽  
Component System ◽  
Fuel Droplets ◽  
Hot Air ◽  
Diffusion Systems

In this paper, a method is presented to obtain the exact solution of the Stefan-Maxwell equations for multicomponent diffusion systems. This method is the continuation of Gilliland and Toor’s works for ternary diffusion systems. As an example, a solution of the Stefan-Maxwell equations for four-component system is given. Finally, the result is used for the calculation of the evaporation histories of multicomponent fuel droplets in hot air flow. The calculated results are favorably compared with the experimental data.

scholarly journals A New Solution of the Einstein-Maxwell Equations for a System with Mass, Magnetic Moment, Charge, and Angular momentum

1974 ◽  
Vol 64 ◽  
pp. 192-192
Author(s):  
Louis Witten
Keyword(s):  
Black Hole ◽  
Angular Momentum ◽  
Magnetic Dipole ◽  
Electric Charge ◽  
Magnetic Moment ◽  
Maxwell Equations ◽  
Black Hole Physics ◽  
Red Shift ◽  
Multipole Moments ◽  
Asymptotically Flat

A five parameter solution of the combined Einstein-Maxwell equations is given which describes a source containing mass, electric charge, magnetic dipole, higher multipole moments of all three kinds, and angular momentum. The solution is asymptotically flat and has a singular infinite red shift surface. Possible relevance of the solution to black hole physics is discussed.

Quasi-Maxwell equation for spin-1 particles

2014 ◽  
Vol 23 (02) ◽  
pp. 1450007
Author(s):  
A. Moradzadeh ◽  
H. Hassanabadi
Keyword(s):  
Exact Solution ◽  
Maxwell Equation ◽  
Coulomb Potential ◽  
Maxwell Equations ◽  
Three Dimensional ◽  
Dkp Equation ◽  
Energy Eigenvalues

In this study, we consider Duffin–Kemmer–Petiau (DKP) equation in three-dimensional, hence we review resemble Maxwell equations where we can derive from DKP equation. An exact solution of the three-dimensional DKP equation is presented in the presence of the pseudo-Coulomb potential-plus-ring-shaped potential. As we derive the energy eigenvalues and corresponding eigenfunctions, we explain about DKP equation under different forms of interactions.

scholarly journals About Bonnor Solution and Gravitational Redshift

2017 ◽  
Vol 45 ◽  
pp. 1760048
Author(s):  
Orlenys Troconis ◽  
Viviane Alfradique ◽  
Rodrigo Negreiros
Keyword(s):  
Dipole Moment ◽  
Neutron Star ◽  
Magnetic Fields ◽  
Magnetic Dipole ◽  
Maxwell Equations ◽  
Magnetic Dipole Moment ◽  
Polar Angle ◽  
Gravitational Redshift ◽  
Schwarzschild Solution ◽  
Emission Signal

We consider the analytical Bonnor solution for a relativistic neutron star and discuss about the limit in which this solution satisfies Einstein-Maxwell equations. We study the gravitational redshift for Bonnor solution without electric charge. We find that for stars with magnetic fields up to [Formula: see text] in the center, the gravitational redshift for Bonnor metric differs from the Schwarzschild solution on a term that depends on magnetic dipole moment and the polar angle of the emission signal.

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