Article
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The Energy-Momentum Tensor of Electromagnetism Revisited
Version 1
: Received: 22 August 2024 / Approved: 26 August 2024 / Online: 26 August 2024 (07:05:06 CEST)
How to cite: Collin, S. The Energy-Momentum Tensor of Electromagnetism Revisited. Preprints 2024, 2024081787. https://doi.org/10.20944/preprints202408.1787.v1 Collin, S. The Energy-Momentum Tensor of Electromagnetism Revisited. Preprints 2024, 2024081787. https://doi.org/10.20944/preprints202408.1787.v1
Abstract
Maxwell's energy-momentum tensor cannot be used as is in Einstein's equation for general relativity in the presence of sources. In this case, its four-divergence is non-zero, whereas the tensors in the equation must have this characteristic. However, the sun emits streams of ionized particles, gases are present within galaxies, material transfers in the form of ionized plasma can occur in binary star systems, and so on. These charges cannot be neglected in the study of space-time in these regions. Here, we present a modified version of this tensor that eliminates this flaw, provided that the potentials satisfy the Lorenz gauge. The distribution of sources will also be analyzed in light of fluid mechanics, allowing us to account for its influence in terms of generated pressure.
Keywords
electromagnetism; Noether; canonical tensor; cosmology; dark matter; dark energy; general relativity
Subject
Physical Sciences, Theoretical Physics
Copyright: This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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