Relativity and Cosmology

    

Electromagnetism and Gravity Field Equations Are Unified and Described by a New E(4,0) Tensor for Total Energy Representing the New Conformal Energy Tensor T(4,0) and the Stress-Energy Tensor T(2,0)

Authors: Jesus Delso Lapuerta

Electromagnetism and Gravity field equations are unified and described by a new E(4,0) tensor for Total Energy representing the new Conformal Energy tensor T(4,0) and the Stress–Energy tensor T(2,0). In four dimensions electromagnetic field tensor is defined as a differential 2-form F that constructs electromagnetic stress–energy tensor as a combination of F and the Hodge dual of F, in Einstein field equations this role is played by the Weyl tensor C, the conformal tensor curvature is the only part of the curvature that exists in free space and governs the propagation of gravitational waves, so the conformal energy tensor can be defined as a combination of C and the Hodge dual of C. The Hodge dual definition of electromagnetic tensor and Weyl tensor leads to electromagnetic field tensor embedded in Weyl tensor unifying Electromagnetism and Gravity, both tensors are related to the Conformal Energy tensor

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[v1] 2020-12-24 11:46:29

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