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Equilibrium Configurations of Classical Polytropic Stars with a Multi-Parametric Differential Rotation Law: A Numerical Analysis

Published online by Cambridge University Press:  06 July 2017

Federico Cipolletta ,
Christian Cherubini ,
Simonetta Filippi ,
Jorge A. Rueda  and
Remo Ruffini
Federico Cipolletta*
Affiliation:
Dipartimento di Fisica and ICRA, Sapienza Università di Roma, P.le Aldo Moro 5, I–00185 Rome, Italy ICRANet, Piazza della Repubblica 10, I–65122 Pescara, Italy
Christian Cherubini*
Affiliation:
Unit of Nonlinear Physics and Mathematical Modeling, University Campus Bio-Medico of Rome, Via A. del Portillo 21, I–00128 Rome, Italy International Center for Relativistic Astrophysics-ICRA, University Campus Bio-Medico of Rome, Via A. del Portillo 21, I–00128 Rome, Italy
Simonetta Filippi*
Affiliation:
Unit of Nonlinear Physics and Mathematical Modeling, University Campus Bio-Medico of Rome, Via A. del Portillo 21, I–00128 Rome, Italy International Center for Relativistic Astrophysics-ICRA, University Campus Bio-Medico of Rome, Via A. del Portillo 21, I–00128 Rome, Italy
Jorge A. Rueda*
Affiliation:
Dipartimento di Fisica and ICRA, Sapienza Università di Roma, P.le Aldo Moro 5, I–00185 Rome, Italy ICRANet, Piazza della Repubblica 10, I–65122 Pescara, Italy ICRANet-Rio, Centro Brasileiro de Pesquisas Físicas, Rua Dr. Xavier Sigaud 150, Rio de Janeiro, RJ, 22290–180, Brazil
Remo Ruffini*
Affiliation:
Dipartimento di Fisica and ICRA, Sapienza Università di Roma, P.le Aldo Moro 5, I–00185 Rome, Italy ICRANet, Piazza della Repubblica 10, I–65122 Pescara, Italy ICRANet-Rio, Centro Brasileiro de Pesquisas Físicas, Rua Dr. Xavier Sigaud 150, Rio de Janeiro, RJ, 22290–180, Brazil
*
*Corresponding author. Email addresses:cipo87@gmail.com (F. Cipolletta), c.cherubini@unicampus.it (C. Cherubini), s.filippi@unicampus.it (F. Filippi), jorge.rueda@icra.it (J. A. Rueda), ruffini@icra.it (R. Ruffini)
*Corresponding author. Email addresses:cipo87@gmail.com (F. Cipolletta), c.cherubini@unicampus.it (C. Cherubini), s.filippi@unicampus.it (F. Filippi), jorge.rueda@icra.it (J. A. Rueda), ruffini@icra.it (R. Ruffini)
*Corresponding author. Email addresses:cipo87@gmail.com (F. Cipolletta), c.cherubini@unicampus.it (C. Cherubini), s.filippi@unicampus.it (F. Filippi), jorge.rueda@icra.it (J. A. Rueda), ruffini@icra.it (R. Ruffini)
*Corresponding author. Email addresses:cipo87@gmail.com (F. Cipolletta), c.cherubini@unicampus.it (C. Cherubini), s.filippi@unicampus.it (F. Filippi), jorge.rueda@icra.it (J. A. Rueda), ruffini@icra.it (R. Ruffini)
*Corresponding author. Email addresses:cipo87@gmail.com (F. Cipolletta), c.cherubini@unicampus.it (C. Cherubini), s.filippi@unicampus.it (F. Filippi), jorge.rueda@icra.it (J. A. Rueda), ruffini@icra.it (R. Ruffini)
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Abstract

In this paper we analyze in detail the equilibrium configurations of classical polytropic stars with a multi-parametric differential rotation law of the literature using the standard numerical method introduced by Eriguchi and Mueller. Specifically we numerically investigate the parameters’ space associated with the velocity field characterizing both equilibrium and non-equilibrium configurations for which the stability condition is violated or the mass-shedding criterion is verified.

Keywords

Free boundary problemsself-gravitating systemsnumerical methods for partial differential equations
Type
Research Article
Information
Communications in Computational Physics , Volume 22 , Issue 3 , September 2017 , pp. 863 - 888
Copyright
Copyright © Global-Science Press 2017 

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