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arXiv · gr-qc/9905009

New Equations for Gravitation with Riemann Tensor and 4-Index Energy-Momentum Tensors for Gravitation and Matter

Zahid Zakir
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Abstract

A generalized version of the Einstein equations in the 4-index form, containing the Riemann tensor linearly, is derived. It is shown, that the gravitational energy-momentum density tensor outside a source is represented across the Weyl tensor vanishing at the 2-index contraction. The 4-index energy-momentum density tensor for matter also is constructed.

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Zahid Zakir. 2003-10-17. New Equations for Gravitation with Riemann Tensor and 4-Index Energy-Momentum Tensors for Gravitation and Matter. https://doi.org/10.9751/tpac.3600-017

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