Fundamental Properties of Lagrangian Density for A Gravitational System and Their Derivations

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Through the discussion of the fundamental properties of Lagrangian density for a gravitational system, the theoretical foundations of the modified Einstein field equations and the Lorentz and Levi-Civita conservation laws are systematically studied. Our study confirms the view that they could be used as the premises to establish a new cosmology.
17 pages, no figure

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