On Penston's self-similar solution for cold collapse

Details On Penston's self-similar solution for cold collapse On Penston's self-similar solution for cold collapse

Jul 1988

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1988mnras.233..197l&link_type=abstract

Monthly Notices of the Royal Astronomical Society (ISSN 0035-8711), vol. 233, July 1, 1988, p. 197-208.

Statistics

Computation

23

Cold Gas, Computational Astrophysics, Gravitational Collapse, Newtonian Fluids, Naked Singularities, Relativity, Space-Time Functions, Stellar Mass Accretion, Time Dependence, Velocity Distribution

Scientific paper

A simplified derivation of Penston's (1969) self-similar solution for the collapse of a cold self-gravitating sphere is presented. The general solution is found and illustrated for three different cases. The general relativity of the metrics to which the class of self-similar solutions give rise is discussed. These metrics are not self-similar except for the case where rho approaches 1/r squared. The solutions represent the formation and growth by accretion of the central star or galaxy in simple analytic terms.

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