scholarly journals Double-Reissner-Nordström solution and the interaction force between two spherical charged masses in general relativity

2007 ◽  
Vol 76 (12) ◽  
Author(s):  
Vladimir S. Manko
Keyword(s):  
General Relativity ◽  
Interaction Force ◽  
Charged Masses

On the equilibrium of charged masses in general relativity: II. The stationary electrovacuum case

1999 ◽  
Vol 16 (11) ◽  
pp. 3725-3734 ◽  
Author(s):  
Nora Bretón ◽  
Vladimir S Manko ◽  
J Aguilar Sánchez
Keyword(s):  
General Relativity ◽  
Charged Masses

scholarly journals SOLITON NATURE OF EQUILIBRIUM STATE OF TWO CHARGED MASSES IN GENERAL RELATIVITY

2012 ◽  
Vol 12 ◽  
pp. 10-18 ◽  
Author(s):  
G. A. ALEKSEEV ◽  
V. A. BELINSKI
Keyword(s):  
General Relativity ◽  
Equilibrium State ◽  
Inverse Scattering ◽  
Integral Equation Method ◽  
Inverse Scattering Method ◽  
Scattering Method ◽  
Naked Singularities ◽  
Additional Support ◽  
Static Equilibrium State ◽  
Charged Masses

New derivation of static equilibrium state for two charged masses in General Relativity is given in the framework of the Inverse Scattering Method in contradistinction to our previous derivation of this solution by the Integral Equation Method. This shows that such solution is of solitonic character and represents the particular case of more general (12-parametric) stationary axisymmetric electrovacuum two-soliton solution for two rotating charged objects obtained by one of the authors in 1986. This result gives an additional support to our comprehension that the appropriate analytical continuations of solitonic solutions in the space of their parameters are always possible and that applicability of the Inverse Scattering Method in presence of electromagnetic field is not restricted only to the cases with naked singularities. The paper represents the shortened version of the plenary talk given at the Second Galileo - Xu Guangqi meeting (July 12-18, 2010, Ventimiglia, Italy).

On the equilibrium of charged masses in general relativity: the electrostatic case

1998 ◽  
Vol 15 (10) ◽  
pp. 3071-3083 ◽  
Author(s):  
Nora Bretón ◽  
Vladimir S Manko ◽  
J Aguilar Sánchez
Keyword(s):  
General Relativity ◽  
Charged Masses
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