eFTC-220601
General Hydrodynamical Evolution Equation in Einstein Real Gravity |
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Author: Y. Leblanc (eFieldTheory.COM) Email: AbstractGeneralizing our previous works on the hydrostatic equilibrium relation in the context of Einstein Real Gravity (RG), we write down the full set of the time-dependent field equations for a general relativistic fluid in a space and time dependent gravitational potential field. Making use of the Freud identity to derive the evolution equation for the fluid, we demonstrate a remarkable simplification of the algebra which leads us to a simple and general hydrodynamical evolution equation which can describe a variety of astrophysical dynamical problems for various species of stars, galaxies, galaxy clusters or even the entire universe. In particular, this equation can be used for the study of gravitational collapse. Copyright © 2022 Yvan Leblanc. All rights reserved
PACS: 4.60.+n, 11.17.+y, 97.60.Lf Cite as: Leblanc, Y., "General Hydrodynamical Evolution Equation in Einstein Real Gravity", Report no. eFTC-220601 (2022). http://www.efieldtheory.com/abs/?eFTC-220601; doi:10.13140/RG.2.2.27926.22088. |
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