https://doi.org/10.1140/epjp/s13360-023-04346-x
Regular Article
From neutron stars to highly compact configurations
1
Departamento de Física, Colegio de Ciencias e Ingeniería, Universidad San Francisco de Quito, 170901, Quito, Ecuador
2
Centro de Física Teórica y Computacional, Escuela de Física, Facultad de Ciencias, Universidad Central de Venezuela, 1050, Caracas, Venezuela
Received:
15
May
2023
Accepted:
31
July
2023
Published online:
5
September
2023
In this work, we deliver a comprehensive analysis of anisotropic fluids supporting self-gravitating spheres. Our research is grounded on anisotropic fluids that adhere to a well-behaved polytropic equation of state, with an appropriate anisotropy inspired by the conformally flat condition. We perform numerical integration of the generalized Lane–Emden equation over a broad spectrum of parameters, assessing the feasibility of the derived solution as a model for compact celestial objects. The findings are presented in color-coded diagrams, denoting the number of conditions met by the solutions based on the value of the parameters involved. Our study reveals that anisotropy is a pivotal factor in the interpretation of these models. Notably, the compactness of the solution falls within a range where the lower limit corresponds to neutron stars, and the upper limit relates to extremely compact configurations approaching Buchdhal’s limit.
E. Fuenmayor and P. León these authors contributed equally to this work.
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© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2023. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
