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

2020/12/30 by Maurice J. Dupré, Dupré, Maurice J.
Physics and Astronomy · #83C05 #83C40 #83C99 #Advanced Differential Geometry Research #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #Mathematical Physics (math-ph)

paper · pdf · doi:10.48550/arxiv.2012.15111

openalex publication_date 2020/12/30 · openalex created_date 2021/01/05 · openalex updated_date 2026/07/28

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.

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