arXiv subjects

Adeeba Arooj

Publications and source records attributed to Adeeba Arooj.

7 recordsLinked to original sources

arXiv2026

Stability and Physical Properties of Compact Stars Beyond Einstein Gravity

This manuscript discusses feasible features of anisotropic celestial sphere within the framework of $f(\mathbb{Q},\mathcal{L}_{m})$ gravity, where $\mathbb{Q}$ represents non-metricity scalar and $\mathcal{L}_{m}$ is the matter Lagrangian. The geometric configuration of static spherical symmetric structure is examined using a specific non-singular solution (Krori-Barua solution). A particular model of this theory is considered to derive explicit field equations. The Darmois matching conditions are used to evaluate unknown constants in the metric coefficients. To verify plausible existence of compact objects in this gravitational framework, we analyze their fundamental physical properties including fluid parameters, gradients, surface redshift, mass-radius relation, anisotropy measure, compactness factor, energy conditions and equations of state. The stability of the considered stellar objects is verified by adiabatic index and sound speed. Our results demonstrate that all required physical conditions are satisfied, confirming the existence of physically stable anisotropic celestial objects within this modified gravity.

gr-qc↗

arXiv2026

Feasible Stellar Interiors Beyond Einstein Gravity: Insights from Non-Metricity-Matter Coupled Gravitational Theory

This manuscript examines viability and stability of anisotropic compact objects in the framework of $f(Q,L_m)$ gravity ($Q$ is the non-metricity and $L_m$ is the matter Lagrangian). We assume a particular functional form of this theory to get explicit expressions for the field equations which govern the behavior of matter and geometry in this context. The configuration of static spherically symmetric structures is evaluated using the two innovative non-singular solutions. We use smooth matching conditions to evaluate the values of unknown constants in the metric coefficients. The viability of considered compact stars is assessed using a graphic analysis of various important physical characteristics. We also investigate stability of the considered stellar objects through sound speed method. It is found that these stellar objects are viable and stable, as all the required conditions are satisfied.

gr-qc↗

arXiv2025

Impact of Non-metricity and Matter Source on the Geometry of Anisotropic Spheres

This paper delves into the impact of extended symmetric teleparallel theory on anisotropic compact stellar structures. The explicit field equations were formulated by considering a minimum model of this extended gravity. Basically, the Darmois junction conditions are used to determine the unknown constants of metric coefficients. We explore some significant properties of the compact stars under consideration to check their viable existence in this modified framework. The Tolman-Oppenheimer-Volkoff equation assess the equilibrium state of the compact stars. Moreover, the stability analysis is defined by using methods based on sound speed (related to how disturbances propagate in the star) and adiabatic index (related to the thermodynamic behavior of the star). We find that the proposed compact stars in the $f(\mathbb{Q}, \mathbb{T})$ gravity are physically viable and stable.

gr-qc↗

arXiv2024

Stability Analysis of Static Spherical Spacetime in Extended Symmetric Teleparallel Gravity

Our manuscript aims to analysis the viability and stability of anisotropic stellar objects in the modified symmetric teleparallel gravity. A particular model of this extended theory is considered to formulate explicit field equations which govern the interaction between matter and geometry. The configuration of static spherical symmetric structures is examined through the Finch-Skea solution. However, the values of unknown constants in the metric potentials are evaluated by the Darmois junction conditions. For the viability of proposed stellar objects, the physical parameters including density, pressure, anisotropy, mass, energy constraints, compactness function and redshift are analyzed. Furthermore, stability of the proposed stellar objects is investigated by causality condition, Herrera cracking approach and adiabatic index. Our findings indicate that the proposed stellar objects are viable as well as stable in the presence of correction terms.

gr-qc↗

arXiv2024

Physical Analysis of Spherical Stellar Structures in $f(\mathrm{Q},\mathrm{T})$ Theory

This paper explores the viability and stability of compact stellar objects characterized by anisotropic matter in the framework of $f(\mathrm{Q},\mathrm{T})$ theory, where $\mathrm{Q}$ denotes non-metricity and $\mathrm{T}$ represents the trace of the energy-momentum tensor. We consider a specific model of this theory to obtain explicit expressions for the field equations governing the behavior of matter and geometry in this context. Furthermore, the Karmarkar condition is employed to assess the configuration of static spherically symmetric structures. The values of unknown constants in the metric potentials are determined through matching conditions of the interior and exterior spacetimes. Various physical quantities such as fluid parameters, energy constraints, equation of state parameters, mass, compactness and redshift are graphically analyzed to evaluate the viability of the considered compact stars. The Tolman-Oppenheimer-Volkoff equation is used to examine the equilibrium state of the stellar models. Moreover, the stability of the proposed compact stars is investigated through sound speed and adiabatic index methods. This study concludes that the proposed compact stars analyzed in this theoretical framework are viable and stable, as all the required conditions are satisfied.

gr-qc↗

arXiv2024

Study of Viable Compact Stellar Structures in Non-Riemannian Geometry

The main objective of this article is to study the viable compact stellar structures in non-Riemannian geometry, i.e., $f(\mathbb{Q},T)$ theory, where $\mathbb{Q}$ defines the non-metricity and $T$ represents trace of the stress-energy tensor. In this perspective, we consider a static spherical metric with anisotropic matter configuration to examine the geometry of considered compact stars. A specific model of this theory is used to derive the explicit expressions of energy density and pressure components that govern the relationship between matter and geometry. The unknown parameters are evaluated by using the continuity of inner and outer spacetimes to examine the configuration of spherical stellar structures. Physical parameters such as fluid characteristics, energy constraints and equation of state parameters are analyzed to examine the viability of the considered stellar objects. Further, we use Tolman-Oppenheimer-Volkoff equation, sound speed and adiabatic index methods to analyze the equilibrium state and stability of the proposed stellar objects. The rigorous analysis and satisfaction of necessary conditions lead to the conclusion that the stellar objects studied in this framework are viable and stable.

gr-qc↗

arXiv2024

Viable and Stable Compact Stellar Structures in $f(\mathcal{Q},\mathcal{T})$ Theory

The main objective of this paper is to investigate the impact of $f(\mathcal{Q},\mathcal{T})$ gravity on the geometry of anisotropic compact stellar objects, where $\mathcal{Q}$ is non-metricity and $\mathcal{T}$ is the trace of the energy-momentum tensor. In this perspective, we use the physically viable non-singular solutions to examine the configuration of static spherically symmetric structures. We consider a specific model of this theory to examine various physical quantities in the interior of the proposed compact stars. These quantities include fluid parameters, anisotropy, energy constraints, equation of state parameters, mass, compactness and redshift. The Tolman-Oppenheimer-Volkoff equation is used to examine the equilibrium state of stellar models, while the stability of the proposed compact stars is investigated through sound speed and adiabatic index methods. It is found that the proposed compact stars are viable and stable in the context of this theory.

gr-qc↗