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

Communications in Computational Physics
Vol. 22 No. 3 (2017), pp. 863-888
DOI: 10.4208/cicp.OA-2017-0007
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Author(s)
    Federico Cipolletta
    Sapienza Univ Roma, Dipartimento Fis, Ple Aldo Moro 5, I-00185 Rome, Italy Sapienza Univ Roma, ICRA, Ple Aldo Moro 5, I-00185 Rome, Italy ICRANet, Piazza Repubbl 10, I-65122 Pescara, Italy
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    Christian Cherubini
    Univ Campus Biomed Rome, Unit Nonlinear Phys & Math Modeling, Via A del Portillo 21, I-00128 Rome, Italy Univ Campus Biomed Rome, ICRA, Via A del Portillo 21, I-00128 Rome, Italy
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    Simonetta Filippi
    Univ Campus Biomed Rome, Unit Nonlinear Phys & Math Modeling, Via A del Portillo 21, I-00128 Rome, Italy Univ Campus Biomed Rome, ICRA, Via A del Portillo 21, I-00128 Rome, Italy
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    Jorge A. Rueda
    Sapienza Univ Roma, Dipartimento Fis, Ple Aldo Moro 5, I-00185 Rome, Italy Sapienza Univ Roma, ICRA, Ple Aldo Moro 5, I-00185 Rome, Italy ICRANet, Piazza Repubbl 10, I-65122 Pescara, Italy Ctr Brasileiro Pesquisas Fis, ICRANet Rio, Rua Dr Xavier Sigaud 150, BR-22290180 Rio De Janeiro, RI, Brazil
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    Remo Ruffini
    Sapienza Univ Roma, Dipartimento Fis, Ple Aldo Moro 5, I-00185 Rome, Italy Sapienza Univ Roma, ICRA, Ple Aldo Moro 5, I-00185 Rome, Italy ICRANet, Piazza Repubbl 10, I-65122 Pescara, Italy Ctr Brasileiro Pesquisas Fis, ICRANet Rio, Rua Dr Xavier Sigaud 150, BR-22290180 Rio De Janeiro, RI, Brazil
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1 Sapienza Univ Roma, Dipartimento Fis, Ple Aldo Moro 5, I-00185 Rome, Italy
2 Sapienza Univ Roma, ICRA, Ple Aldo Moro 5, I-00185 Rome, Italy
3 ICRANet, Piazza Repubbl 10, I-65122 Pescara, Italy
4 Univ Campus Biomed Rome, Unit Nonlinear Phys & Math Modeling, Via A del Portillo 21, I-00128 Rome, Italy
5 Univ Campus Biomed Rome, ICRA, Via A del Portillo 21, I-00128 Rome, Italy
6 Ctr Brasileiro Pesquisas Fis, ICRANet Rio, Rua Dr Xavier Sigaud 150, BR-22290180 Rio De Janeiro, RI, Brazil
Received
January 13, 2017
Accepted
February 27, 2017
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.

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