The Jacobi Curvature Operator in Semi Riemannian Geometry and the Energy Momentum Stress Tensor of the Gravitational Field

Abstract

We give a justification for generalizing the notion of the energy momentum stress tensor in general relativity which results in the Jacobi curvature tensor being the embodiment of total energy momentum stress including gravity in general relativity.

110 pages. arXiv admin note: substantial text overlap with arXiv:0903.5225, arXiv:1403.2618, arXiv:0803.1684

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