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

D. Bini

C. Cherubini and S. Filippi

A. Geralico

  • Istituto per le Applicazioni del Calcolo “M. Picone,” CNR, I-00185 Rome, Italy and ICRA, University of Rome “La Sapienza,” I-00185 Rome, Italy

  • Nonlinear Physics and Mathematical Modeling Lab, Engineering Faculty, University Campus Bio-Medico, I-00128 Rome, Italy and ICRA, University of Rome “La Sapienza,” I-00185 Rome, Italy

  • Physics Department and ICRA, University of Rome “La Sapienza,” I-00185 Rome, Italy

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Phys. Rev. D 82, 044005 – Published 5 August, 2010

DOI: https://doi.org/10.1103/PhysRevD.82.044005

Abstract

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.

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Effective geometries in self-gravitating polytropes

D. Bini, C. Cherubini, and S. Filippi
Phys. Rev. D 78, 064024 (2008)

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Outline

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Phys. Rev. D 82, 044005– Published 5 August, 2010
  • Received 22 February 2010

© 2010 The American Physical Society

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