A Classical Complete Action for a System of Small-Point Massive Charged Particles in General Relativity

Gonzalo Ares de Parga^*, Adriana Avalos-Vargas

Departamento de Física, Escuela Superior de Física yMatemáticas, Instituto Politécnico Nacional, U. P. Adolfo López Mateos, Zacatenco, C.P. 07738, Mexico City, Mexico.

DOI: 10.4236/jmp.2015.610144                

Abstract

A classical action which describes the motion of a system of small-point massive charged particles including the existence of the electromagnetic and gravitational self-forces, Maxwell equations and Einstein field equations is presented. The action possesses the particularity of being a functional of the variables z_i (τ_i), the trajectory of the i-particle, A_α (x), the electromagnetic 4-potential, and g_αβ(x), the metric tensor. It is also considered that the metric tensor g_αβ (x) and the potential A_α (x) are not functions of the trajectory of each particle when the variations with respect to the trajectories of the particles are done. That is, the action is complete. The electromagnetic and the gravitational self-forces are analyzed.

Keywords

General Relativity, Classical Electrodynamics, Self-Action

Conflicts of Interest

The authors declare no conflicts of interest.

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