An alternative unified formulation of gravitation and electromagnetism in four dimensions

We show how the introduction of a rank two antisymmetric tensor within the construction of the spacetime contortion sets the geometric framework in which gravitation and electromagnetism can be formulated synthetically through a unique action of Hilbert type in four dimensions. In particular, free M...

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Bibliographic Details
Published in:General relativity and gravitation 2024-02, Vol.56 (2), Article 19
Main Authors: Djeghloul, Nazim, Kellou, M. Aris
Format: Article
Language:English
Subjects:
Astronomy
Astrophysics and Cosmology
Classical and Quantum Gravitation
Differential Geometry
Electromagnetism
Gravitation
Mathematical analysis
Mathematical and Computational Physics
Maxwell's equations
Physics
Physics and Astronomy
Quantum Physics
Relativity
Relativity Theory
Tensors
Theoretical
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Summary:We show how the introduction of a rank two antisymmetric tensor within the construction of the spacetime contortion sets the geometric framework in which gravitation and electromagnetism can be formulated synthetically through a unique action of Hilbert type in four dimensions. In particular, free Maxwell’s equations are recovered as a consequence of the field equations in the limit of metrically flat spacetime.
ISSN:0001-7701
1572-9532
DOI:10.1007/s10714-024-03208-w