Study of Viable Compact Stellar Structures in Non-Riemannian Geometry

Study of Viable Compact Stellar Structures in Non-Riemannian Geometry

31 Mar 2024 | M. Zeeshan Gul *, M. Sharif †and Adeeba Arooj ‡
This article investigates viable compact stellar structures in the context of non-Riemannian geometry, specifically the $f(\mathbb{Q}, T)$ theory, where $\mathbb{Q}$ represents non-metricity and $T$ is the trace of the stress-energy tensor. The authors consider a static spherical metric with anisotropic matter distribution to examine the geometry of compact stars. They derive explicit expressions for energy density and pressure components and analyze physical parameters such as fluid characteristics, energy constraints, and equation of state (EoS) parameters to assess the viability of the considered stellar objects. The stability of the proposed stellar objects is analyzed using the Tolman-Oppenheimer-Volkoff (TOV) equation, sound speed, and adiabatic index methods. The results indicate that the stellar objects studied in this framework are viable and stable, satisfying all necessary conditions. The study provides valuable insights into the behavior of compact stars in modified gravitational theories and contributes to our understanding of cosmic structures.This article investigates viable compact stellar structures in the context of non-Riemannian geometry, specifically the $f(\mathbb{Q}, T)$ theory, where $\mathbb{Q}$ represents non-metricity and $T$ is the trace of the stress-energy tensor. The authors consider a static spherical metric with anisotropic matter distribution to examine the geometry of compact stars. They derive explicit expressions for energy density and pressure components and analyze physical parameters such as fluid characteristics, energy constraints, and equation of state (EoS) parameters to assess the viability of the considered stellar objects. The stability of the proposed stellar objects is analyzed using the Tolman-Oppenheimer-Volkoff (TOV) equation, sound speed, and adiabatic index methods. The results indicate that the stellar objects studied in this framework are viable and stable, satisfying all necessary conditions. The study provides valuable insights into the behavior of compact stars in modified gravitational theories and contributes to our understanding of cosmic structures.
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