https://doi.org/10.1140/epjc/s10052-023-12368-z
Regular Article - Theoretical Physics
Viable and stable compact stars in 
theory
1
Department of Mathematics and Statistics, The University of Lahore, 54792, Lahore, Pakistan
2
Institute for Theoretical Physics and Cosmology, Zhejiang University of Technology, 310023, Hangzhou, People’s Republic of China
3
Department of Mathematics, COMSATS University Islamabad, Lahore-Campus, 54000, Lahore, Pakistan
Received:
26
October
2023
Accepted:
17
December
2023
Published online:
5
January
2024
In this paper, we study the viability and stability of anisotropic compact stars in the context of theory, where 
is non-metricity scalar. We use Finch–Skea solutions to investigate the physical properties of compact stars. To determine the values of unknown constants, we match internal spacetime with the exterior region at the boundary surface. Furthermore, we study the various physical quantities, including effective matter variables, energy conditions and equation of state parameters inside the considered compact stars. The equilibrium and stability states of the proposed compact stars are examined through the Tolman–Oppenheimer–Volkoff equation, causality condition, Herrera cracking approach and adiabatic index, respectively. It is found that viable and stable compact stars exist in theory as all the necessary conditions are satisfied.
© The Author(s) 2024
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