https://doi.org/10.1140/epjp/i2019-12919-0
Regular Article
A possible representation for the neutron star PSR J0437-4715
1
Facultad de Ciencias Físico Matemáticas, de la Universidad Michoacana de San Nicolás de Hidalgo, Edificio B, Ciudad Universitaria, CP 58030, Morelia Michoacán, Mexico
2
Facultad de Ingeniería Eléctrica de la Universidad Michoacana de San Nicolás de Hidalgo, División de Estudios de Posgrado, Edificio Ω, Ciudad Universitaria, CP 58030, Morelia Michoacán, Mexico
3
Facultad de Ciencias, Universidad Autónoma del Estado de México, Instituto Literario 100, Colonia Centro, CP 50000, Toluca, Estado de México, Mexico
4
Facultad de Ingenieria Civil de la Universidad Michoacana de San Nicolás de Hidalgo Edificio A, Ciudad Universitaria, CP 58030, Morelia Michoacán, Mexico
* e-mail: joaquin@fismat.umich.mx
Received:
7
July
2019
Accepted:
16
August
2019
Published online:
4
December
2019
A construction and analysis of an exact solution to Einstein's field equations with the source of matter being an anisotropic fluid that allows to model compact stars with a rate of compactness 
of which the orders of magnitude of pressure and density match those of neutron stars. The model is physically acceptable due to its regular geometry, the density and radial pressure are monotonically decreasing as function of the radial distance, and the speeds of the radial and tangential sounds do not break the condition of causality and as such according to the concept of “cracking” the solution is potentially stable. In a particular manner for the observational data of the star PSR J0437-4715 with a mass of 
and radius R = 13.1 km a description of its internal behaviour and range of values for the hydrostatic variables is presented. Their compactness is u = 0.162299, while their maximum central density 
kg/m3 and the maximum density on the surface 
kg/m3, which is consistent with the expected values for the neutron stars.
© Società Italiana di Fisica / Springer-Verlag GmbH Germany, part of Springer Nature, 2019
