arXiv:2505.15853v1 Announce Type: new
Abstract: The main aim of this study is to examine the behaviour of physical parameters of an anisotropic compact star model demonstrating spherical symmetry in F(Q) modified gravity. To evaluate the behaviour and the stability of an anisotropic compact star model, we utilise the measured mass and radius of an anisotropic compact star model. This study obtained an anisotropic compact star model by solving Einstein field equations. The field equations have been simplified by an appropriate selection of the metric elements and the Karmarkar condition. By solving the field equation to develop a differential equation that establishes a relationship between two essential components of spacetime. A physical analysis of this model reveals that the resulting stellar structure for anisotropic matter distribution is a physically plausible representation of a compact star with an energy density of order $10^14 g/cm^3$. Using the Tolman-Oppenheimer-Volkoff equation, causality condition and Harrison-Zeldovich-Novikov Condition, we investigate the hydrostatic equilibrium and stability of the compact star Cen X-3. We further determined the mass-radius relation of this compact star for different values of delta}1.
Conclusions
The study successfully examined the behaviour of physical parameters in an anisotropic compact star model under F(Q) modified gravity. By solving Einstein field equations and conducting a physical analysis, it was determined that the resulting stellar structure is a plausible representation of a compact star with high energy density.
Further investigations into the hydrostatic equilibrium and stability of the compact star Cen X-3 were carried out using established equations and conditions, leading to the determination of the mass-radius relation for different values of delta1.
Future Roadmap
Challenges
- Continued validation: Further validation of the model with observational data and experimental results is essential to confirm its accuracy and applicability.
- Complexity of calculations: The complex nature of the calculations involved in solving the field equations and establishing relationships between spacetime components may pose challenges in practical applications.
- Exploration of alternative scenarios: Exploring additional scenarios and variations in the model could provide a more comprehensive understanding of the physical parameters and behaviours involved.
Opportunities
- Advancements in gravitational theories: The study opens up opportunities for advancements in gravitational theories, particularly in the context of modified gravity and anisotropic compact star models.
- Technological applications: The insights gained from this research could lead to advancements in technologies related to space exploration, astrophysics, and gravitational studies.
- Collaborative research: Collaboration with other researchers and institutions in related fields could facilitate the development and enhancement of the model, as well as the exploration of new avenues of research.