https://doi.org/10.1140/epjc/s10052-023-12175-6
Regular Article - Theoretical Physics
The physical acceptability conditions and the strategies to obtain anisotropic compact objects
1
Escuela de Física, Universidad Industrial de Santander, 680002, Bucaramanga, Colombia
2
Departamento de Matemática Aplicada and Instituto Universitario de Física Fundamental y Matemáticas, Universidad de Salamanca, Salamanca, Spain
3
Departamento de Física, Universidad de Los Andes, 5101, Mérida, Venezuela
Received:
14
July
2023
Accepted:
23
October
2023
Published online:
9
November
2023
We studied five methods to include anisotropy, or unequal stress distributions, in general relativistic matter configurations. We used nine acceptability conditions that the metric and physical variables must meet to determine if our models were astrophysically viable. Our analysis found the most effective way to introduce anisotropy while keeping a simple density profile. We also found a practical “rule of thumb” that relates the density at the boundary to the density at the centre of relativistic matter distributions. Additionally, we calculated the configuration radius and encountered that values observed by NICER for PSR J0740+6620 are consistent with several acceptable matter configurations, both isotropic and anisotropic.
© The Author(s) 2023
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