Continued Gravitational Collapse for Newtonian Stars
Keyword(s):
Abstract The classical model of an isolated selfgravitating gaseous star is given by the Euler–Poisson system with a polytropic pressure law $$P(\rho )=\rho ^\gamma $$ P ( ρ ) = ρ γ , $$\gamma >1$$ γ > 1 . For any $$1<\gamma <\frac{4}{3}$$ 1 < γ < 4 3 , we construct an infinite-dimensional family of collapsing solutions to the Euler–Poisson system whose density is in general space inhomogeneous and undergoes gravitational blowup along a prescribed space-time surface, with continuous mass absorption at the origin. The leading order singular behavior is described by an explicit collapsing solution of the pressureless Euler–Poisson system.
2015 ◽
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pp. 1550025
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2012 ◽
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pp. 2503-2520
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1976 ◽
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pp. 1271-1276
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1993 ◽
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pp. 2117-2123
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pp. 707-715
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