A static spherically symmetric perfect fluid solution to model the interior of stars



Título del documento: A static spherically symmetric perfect fluid solution to model the interior of stars
Revista: Revista mexicana de física
Base de datos:
Número de sistema: 000592455
ISSN: 0035-001X
Autores: 1
2
3
Instituciones: 1Universidad Michoacana de San Nicolás Hidalgo, Facultad de Químico Farmacobiología, Morelia. México
2Universidad Michoacana de San Nicolás Hidalgo, Facultad de Ciencias Físico Matemáticas, Morelia. México
3Universidad Michoacana de San Nicolás Hidalgo, Facultad de Ingeniería en Tecnología de la Madera, Morelia. México
Año:
Periodo: May-Jun
Volumen: 69
Número: 3
País: México
Idioma: Inglés
Resumen en inglés An exact solution for modeling the interior of stars with perfect fluid is presented, the geometry of their interior is described by a static and spherically symmetric regular space-time. The hydrostatic functions are physically acceptable for the compactness rate u = GM/c 2 R ∈ (0,0.3183497, the speed of sound is a monotonically decreasing function, positive and lower than the speed of light, which implies that the condition of causality is not violated, meanwhile the stability of the solution is guaranteed due to the adiabatic index γ > 3.08387 and it is a monotonically increasing function. The analysis of the solution is presented graphically for specific values of the compactness on the interval u ∈ 0.2509338,0.3183497 with the minimum value of this interval associated to the neutron star PSR J0348+0432, for observational data which generates the maximum compactness when the radius is minimal R = 12.062 km and the mass is maximum M = 2.05 M⊙, generating a value of the central density ρ c = 7.520589 × 1017 kg/m3.
Keyword: General relativity,
Exact solutions,
Perfect fluid,
Relativistic compact stars
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