Effective geometries in self-gravitating polytropes

Details Effective geometries in self-gravitating polytropes Effective geometries in self-gravitating polytropes

Sep 2008

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2008phrvd..78f4024b&link_type=abstract

Physical Review D, vol. 78, Issue 6, id. 064024

Physics

4

Fundamental Problems And General Formalism, Acoustical Properties

Scientific paper

Perturbations of a perfect barotropic and irrotational Newtonian self-gravitating fluid are studied using a generalization of the so-called “effective geometry” formalism. The case of polytropic spherical stars, as described by the Lane-Emden equation, is studied in detail in the known cases of existing explicit solutions. The present formulation gives a natural scenario in which the acoustic analogy has relevance for both stellar and galactic dynamics.

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