Exact solutions and spectrum analysis of a noncentral potential in the presence of vector potential

2020 ◽  
Vol 120 (9) ◽  
Author(s):  
Piu Ghosh ◽  
Debraj Nath
Keyword(s):  
Exact Solutions ◽  
Spectrum Analysis ◽  
Vector Potential ◽  
Noncentral Potential

scholarly journals Magnetic fields in spaces with VII0 x VIII isometries.

2000 ◽  
Vol 53 (3) ◽  
pp. 345 ◽  
Author(s):  
Ciprian Dariescu ◽  
Marina-Aura Dariescu
Keyword(s):  
Magnetic Fields ◽  
Exact Solutions ◽  
Vector Potential ◽  
Maxwell Equations ◽  
Pathological Features ◽  
Penrose Diagram ◽  
Lorentz Condition

The aim of the present paper is to investigate some globally pathological features of a class of static planary symmetric exact solutions with a G6-group of motion, namely with g44 = –sinh2 (αz), by means of the null oblique geodesics and Penrose diagram. Finally, we derive general expressions for the Aµ(x, y, z)µ=1,3― components of the vector potential, satisfying the source-free Maxwell equations and the Lorentz condition, pointing out the influence of the global pathological properties on the behaviour of magnetostatic fields in such universes.

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