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Small Radius Perturbation of the Selfgravitating Gas with Cylindrical Symmetry

Alexander Gromov
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Abstract

Self-consistent mouvement of initial perturbation in density, velocity and gravitation potentail on the background of the stationary cylindrical configuration of the gas with gravitation and pressure in Lagrange variables have been studied. The nonlinear partial differential equation for description radius motion has been obtained. The linearization of this equation is reduced to a Klein-Gordon equation which has an analytical solution.

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Alexander Gromov. 1995-12-30. Small Radius Perturbation of the Selfgravitating Gas with Cylindrical Symmetry. https://arxiv.org/abs/astro-ph/9512170

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