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

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

1999-05-03

arxiv.org/abs/gr-qc/9905009v4

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

Published in: ''Z.Zakir (2003) Structure of Space-Time and Matter. CTPA, Tashkent''

Scientific paper

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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