MG12 - Talk detail |
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Participant |
Filippi, Simonetta | |
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Institution |
University Campus Bio-Medico of Rome - Via A. del Portillo 21 - Rome - - Italy | |
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Session |
Talk |
Abstract |
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MGAT9 |
General Relativity without General Relativity: selfgravitating systems and effective geometries |
Perturbations of a perfect barotropic and irrotational Newtonian self-gravitating systems are studied via the "effective geometry" formalism. The case of polytropic spherical stars described by the Lane-Emden equation is studied in the known cases of existing explicit solutions relevant for both stellar and galactic dynamics. Applications of the formalism in the case of rotating configurations found via William's "matching method" and possible generalizations are discussed. The present formulation represents another natural scenario, in addition with the usual one of Quantum condensates in laboratories, in which the acoustic analogy has physical relevance. |