Темная материя 2_0

Last modified by Alexey Popov on 2020/09/02 12:15

$\nabla \cdot \mathbf a = G \rho$

$\nabla \cdot \frac{\partial \mathbf a}{\partial t} = G \frac{\partial \rho}{\partial t} = 0$

$\mathbf j = \frac{\partial \mathbf a}{\partial t}$

$\nabla \cdot \mathbf j = G \rho_j$

$\rho_j = \frac{\partial \rho}{\partial t}$

$\nabla^2 \varphi_j = -4 \pi\,G \,\rho_j$

$\varphi_j(\mathbf r) = -G \,\frac{Q_j}{r}$

$\varphi_j(\mathbf r) \cdot\,r= -G \,Q_j = const = \left [\frac{m^3}{s^3}\right ] \sim \mathbf v^3$

$\varphi_s (\mathbf r) = -G \,\frac{Q_s}{r} = \left [\frac{m^2}{s^4}\right ] \sim \mathbf a^2$

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Created by Alexey Popov on 2020/09/02 11:28

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