Аннотация:
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).