A Generalized Double Chaplygin Model for Anisotropic Matter: The Newtonian Case

Author:

Abellán Gabriel1ORCID,Rincón Ángel23ORCID,Sanchez Eduard1

Affiliation:

1. Escuela de Física, Facultad de Ciencias, Universidad Central de Venezuela, Caracas 1050, Venezuela

2. Departamento de Física Aplicada, Universidad de Alicante, Campus de San Vicente del Raspeig, E-03690 Alicante, Spain

3. Sede Esmeralda, Universidad de Tarapacá, Avda. Luis Emilio Recabarren 2477, Iquique 1113749, Chile

Abstract

In this work, we investigate astrophysical systems in a Newtonian regime using anisotropic matter. For this purpose, we considered that both radial and tangential pressures satisfy a generalized Chaplygin-type equation of state. Using this model, we found the Lane–Emden equation for this system and solved it numerically for several sets of parameters. Finally, we explored the mass supported by this physical system and compared it with the Chandrasekhar mass.

Funder

María Zambrano

Generalitat Valenciana

Publisher

MDPI AG

Subject

General Physics and Astronomy

Reference60 articles.

1. Chandrasekhar, S. (1939). An Introduction to the Study of Stellar Structure, Dover Publications.

2. Horedt, G.P. (2004). Polytropes: Applications in Astrophysics and Related Fields, Springer.

3. Kippenhahn, R., Weigert, A., and Weiss, A. (2012). Stellar Structure and Evolution, Springer.

4. Modeling compact stars without numerical integration;Rodrigues;Eur. J. Phys.,2013

5. Fabris, J.C., and Velten, H. (2014). Neo-newtonian theories. arXiv.

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