Angular momentum conservation law in Einstein-Cartan space-time
Ying Jiang

TL;DR
This paper derives a new covariant angular momentum conservation law in Einstein-Cartan gravity that is independent of coordinate choices, addressing a key difficulty in previous formulations.
Contribution
It introduces a novel formulation of angular momentum conservation in Einstein-Cartan theory that is fully covariant and does not depend on coordinate systems.
Findings
Derived a coordinate-independent conservation law.
Resolved issues with previous formulations dependent on coordinate choices.
Enhanced understanding of angular momentum in Einstein-Cartan space-time.
Abstract
In the light of the local Lorentz transformations and the general Noether theorem, a new formulate of the general covariant angular momentum conservation law in Einstein-Cartan gravitation theory is obtained, which overcomes the critical difficulty in the other formulates that the conservation law depended on the coordinative choice.
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Taxonomy
TopicsCosmology and Gravitation Theories · Black Holes and Theoretical Physics · Relativity and Gravitational Theory
