Electromagnetic Induced Gravitational Perturbations

TL;DR

This paper investigates how combined electric and magnetic dipole fields perturb spacetime in Einstein-Maxwell equations, revealing effects like gravitational energy loss, spin angular momentum, and equations of motion for the center of mass.

Contribution

It introduces and compares two perturbation schemes applied to Einstein-Maxwell equations, highlighting their physical consequences in different spacetime backgrounds.

Findings

Induced gravitational energy-momentum loss observed.

Identification of a well-defined spin angular momentum and its loss.

Derivation of equations of motion for the center of mass.

Abstract

We study the physical consequences of two diffferent but closely related perturbation schemes applied to the Einstein-Maxwell equations. In one case the starting space-time is flat while in the other case it is Schwarzschild. In both cases the perturbation is due to a combined electric and magnetic dipole field. We can see, within the Einstein-Maxwell equations a variety of physical consequences. They range from induced gravitational energy-momentum loss, to a well defined spin angular momentum with its loss and a center-of-mass with its equations of motion.