Effective geometries in self-gravitating polytropes

Journal Article · Mon Sep 15 04:00:00 EDT 2008 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.78.064024· OSTI ID:21254105

Bini, D; Cherubini, C; Filippi, S ^[1]

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1. Istituto per le Applicazioni del Calcolo 'M. Picone', CNR, I-00161 Rome (Italy) and International Center for Relativistic Astrophysics-I.C.R.A. University of Rome 'La Sapienza', I-00185 Rome (Italy)

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.

• OSTI ID: 21254105
• Journal Information: Physical Review. D, Particles Fields, Journal Name: Physical Review. D, Particles Fields Journal Issue: 6 Vol. 78; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
79 ASTRONOMY AND ASTROPHYSICS
DISTURBANCES
EQUATIONS
FLUIDS
GRAVITATION
MATHEMATICAL SOLUTIONS
PERTURBATION THEORY
SIMULATION
SPHERICAL CONFIGURATION
STARS