Equilibrium condition for two charged bodies in gravitation theory
Abstract
The steadystate gravitational field created by combining two spherically symmetric solutions to the equations of an arbitrary scalartensor theory of gravity is investigated. The superposition of the fields of two sources located at the origin is examined for combinations involving class 1 and class 2 fields as well as class 2 and class 3 fields; it is found that the resulting field is not spherically symmetric in both cases. The class 2 field of two bodies situated on the zaxis is considered, and a condition is determined under which two charged sources will be in equilibrium. The motion of a charged test particle in the spherically symmetric field of a charged source is analyzed, effects of a scalar field are studied, and a condition is obtained under which the test particle will be at rest relative to the central body.
 Publication:

Problemy Teorii Gravitatsii i Elementarnykh Chastits
 Pub Date:
 1977
 Bibcode:
 1977PrTGE...8..184R
 Keywords:

 Field Theory (Physics);
 Gravitation Theory;
 Superposition (Mathematics);
 Two Body Problem;
 Charged Particles;
 Equilibrium;
 Euclidean Geometry;
 Particle Motion;
 Scalars;
 Symmetry;
 Tensor Analysis;
 Astrophysics