The apparent gravitational presence of invisible/dark matter is a key open problem of modern cosmology.
Recent posts seek an answer as Neo-Newtonian Cosmology NNC starting with a primordial gravitational potential \phi as a rapidly oscillating small amplitude perturbation of a zero potential from which mass density
- \rho\equiv\Delta\phi\ge 0
is created through the action of the Laplacian differential operator \Delta acting in a Euclidean infinite space.
We assume a decomposition \rho =\rho_v +\rho_{iv} with \rho_v as substantial and localised representing visible matter, and \rho_{iv} as small and distributed representing invisible/dark matter with clear separation. With u=u_v+u_{iv} as total matter velocity decomposed into velocity u_v of visible matter and u_{iv} that of invisible dark matter, NNC takes the following concise form:
- \rho_v+\rho_{iv} = \Delta\phi (inverse square gravitational law in differential form)
- \dot\rho_v =-\nabla\cdot (\rho_v u_v) (conservation of visible matter)
- \dot\rho_{iv} =-\nabla\cdot (\rho_{iv} u_{iv}) (conservation of invisible/dark matter)
- \dot u_v=-\nabla\phi (Newton's 2nd Law for visible matter)
- \dot u_{iv}=-\nabla\phi (Newton's 2nd Law for invisible/dark matter)
- Why does the dark matter halo not gravitationally contract? Is the density too small? Is the rate of contraction very small? Is it possible that the invisible/dark matter does not react to gravitational force, only contributes to gravitational potential?
- Is the visible galaxy formed from a primordial halo by gravitational contraction of in its center into visible matter?
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