The Effective Lorentzian and Teleparallel Spacetimes Generated by a Free Electromagnetic Field

TL;DR

This paper demonstrates that a free electromagnetic field in Minkowski spacetime can generate effective Lorentzian or teleparallel spacetimes, with properties derived from the electromagnetic energy-momentum densities acting as sources.

Contribution

It introduces a novel approach using Clifford bundle formalism to relate electromagnetic energy-momentum to effective spacetime geometries, revealing new insights into spacetime structure.

Findings

Electromagnetic energy-momentum densities act as sources for effective spacetime geometries.

Effective Lorentzian and teleparallel spacetimes can be generated by free electromagnetic fields.

The Clifford bundle formalism facilitates the derivation of these effective geometries.

Abstract

In this paper we show that a free electromagnetic field living in Minkowski spacetime generates an effective Weitzenbock or an effective Lorentzian spacetime whose properties aredetermined in details. These results are possible because we found using the Clifford bundle formalism the noticeable result that the energy-momentum densities of a free electromagnetic field are sources of the Hodge duals of exact 2-form fields which satisfy Maxwell like equations.