On Accelerated Inertial Frames in Gravity and Electromagnetism

TL;DR

This paper explores the effects of acceleration and gravity on electromagnetic and gravitational fields, revealing how acceleration influences field configurations and the conditions under which radiation is emitted or suppressed.

Contribution

It provides a detailed analysis of electromagnetic and gravitational fields in accelerated frames and their static analogues, including exact solutions in Einstein-Maxwell theory.

Findings

Accelerated charged shells produce internal electric fields and radiation.

Gravity can cancel acceleration effects, leading to static fields without radiation.

Exact conformastatic solutions illustrate the interplay of gravity and electromagnetism.

Abstract

When a charged insulating spherical shell is uniformly accelerated, an oppositely directed electric field is produced inside. Outside the field is the Born field of a uniformly accelerated charge, modified by a dipole. Radiation is produced. When the acceleration is annulled by the nearly uniform gravity field of an external shell with a 1 + beta cos theta surface distribution of mass, the differently viewed Born field is static and joins a static field outside the external shell; no radiation is produced. We discuss gravitational analogues of these phenomena. When a massive spherical shell is accelerated, an untouched test mass inside experiences a uniform gravity field and accelerates parallelly to the surrounding shell. In the strong gravity regime we illustrate these effects using exact conformastatic solutions of the Einstein-Maxwell equations with charged dust. We consider a massive charged shell on which the forces due to nearly uniform electrical and gravitational fields balance. Both fields are reduced inside by the ratio of the g_00 inside the shell to that away from it. The acceleration of a free test particle, relative to a static observer, is reduced correspondingly. We give physical explanations of these effects.