2023/08/01 by Panagiotis Mavrogiannis, Mavrogiannis, Panagiotis
Physics and Astronomy · #Relativity and Gravitational Theory #Advanced Differential Geometry Research #Cosmology and Gravitation Theories
paper · pdf · doi:10.48550/arxiv.2308.00466
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.