Equilibrium Condition in the Axisymmetric N-Reissner-Nordström Solution

Details Equilibrium Condition in the Axisymmetric N-Reissner-Nordström Solution Equilibrium Condition in the Axisymmetric N-Reissner-Nordström Solution

Dec 1994

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1994pthph..92.1095a&link_type=abstract

Progress of Theoretical Physics, Vol. 92, No. 6, pp. 1095-1104.

Physics

9

Scientific paper

We solve the source-free Einstein-Maxwell equations in a static and axisymmetric spacetime by using the inverse scattering method that is one of the soliton techniques to solve the gravitational field equation. We obtain an exact solution that describes n Reissner-Nordström black holes located along the symmetry axis. We define the mass and charge of each black hole and study the condition for static equilibrium of black holes. We show that the equilibrium is realized only when all the black holes are extremal and the spacetime becomes Majumdar-Papapetrou type.

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