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eFTC-220801
The Universal Matter Dynamics Equation of Einstein General Relativity |
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| Author: Y. Leblanc (eFieldTheory.COM) Email: AbstractIn this work, making use of the Bianchi identity of General Relativity in the exponential parametrization, we derive the universal matter dynamics equation (UMDE) for any relativistic matter energy-momentum tensor source. Unlike our previous work describing the single component spacetime-dependent newtonian gravitational field of a relativistic fluid, our universal equation is valid even in the presence of gravitational waves, as it takes into account the full tensorial character of the gravitational field. As a special case, we recover the general hydrodynamic evolution formula for the single component newtonian gravitational field of a relativistic fluid. Copyright © 2022 Yvan Leblanc. All rights reserved
PACS: 4.60.+n, 11.17.+y, 97.60.Lf Cite as: Leblanc, Y., "The Universal Matter Dynamics Equation of Einstein General Relativity", Report no. eFTC-220801 (2022). http://www.efieldtheory.com/abs/?eFTC-220801; doi:10.13140/RG.2.2.34308.60804. |
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