English

Could electromagnetism be envisaged as a form of gravity in a metric affine framework?

General Relativity and Quantum Cosmology 2023-12-12 v3

Abstract

We revisit the relativistic coupling between gravity and electromagnetism, putting particularly into question the status of the latter; whether it behaves as a source or as a form of gravity on large scales. Considering a metric-affine framework and a simple action principle, we find out that a component of gravity, the so-called homothetic curvature field, satisfies both sets of Maxwell equations. Therefore, we arrive at a gravito-electromagnetic equivalence analogous to the mass-energy equivalence. We raise and discuss some crucial questions implied by the aforementioned finding, refreshing our viewpoint of electromagnetism in curved spacetime.

Keywords

Cite

@article{arxiv.2308.00466,
  title  = {Could electromagnetism be envisaged as a form of gravity in a metric affine framework?},
  author = {Panagiotis Mavrogiannis},
  journal= {arXiv preprint arXiv:2308.00466},
  year   = {2023}
}

Comments

10 pages, no figures