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Viscosity caused by self-gravity in the field of a massive body.

Phys Rev E

May 2025

National Research Nuclear University MEPhI, Kedysh Institute of Applied Mathematics, 4 Miusskaya Square, Moscow 125047, Russia and , 31 Kashirskoe Shosse, Moscow 115409, Russia.

This study investigates self-gravity-induced viscosity in collisionless systems in the presence of a massive central body. Employing a kinetic framework based on the Vlasov-Poisson equations, we derive an analytical expression for viscosity arising from self-gravitational interactions. It is found that a self-gravitating medium in an external gravitational field exhibits non-Newtonian fluid behavior with anisotropic properties.

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