Effective geometry of the n=1 uniformly rotating self-gravitating polytrope

Journal Article · Sun Aug 15 04:00:00 EDT 2010 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.82.044005· OSTI ID:21420942

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

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1. Istituto per le Applicazioni del Calcolo 'M. Picone', CNR, I-00185 Rome (Italy) and ICRA, University of Rome 'La Sapienza', I-00185 Rome (Italy)

The ''effective geometry'' formalism is used to study the perturbations of a perfect barotropic Newtonian self-gravitating rotating and compressible fluid coupled with gravitational backreaction. The case of a uniformly rotating polytrope with index n=1 is investigated, due to its analytical tractability. Special attention is devoted to the geometrical properties of the underlying background acoustic metric, focusing, in particular, on null geodesics as well as on the analog light cone structure.

• OSTI ID: 21420942
• Journal Information: Physical Review. D, Particles Fields, Journal Name: Physical Review. D, Particles Fields Journal Issue: 4 Vol. 82; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
DISTURBANCES
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METRICS
PERTURBATION THEORY
SIMULATION
SPACE-TIME