arXiv:2402.12409v1 Announce Type: new
Abstract: 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.
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. The authors focus on using physically viable non-singular solutions to study the configuration of static spherically symmetric structures. Specifically, they consider a specific model of $f(mathcal{Q},mathcal{T})$ gravity and examine various physical quantities in the interior of the compact stars.
The paper discusses the implications of $f(mathcal{Q},mathcal{T})$ gravity on fluid parameters, anisotropy, energy constraints, equation of state parameters, mass, compactness, and redshift of the proposed compact stars. The authors utilize the Tolman-Oppenheimer-Volkoff equation to analyze the equilibrium state of stellar models and investigate the stability of the proposed compact stars using sound speed and adiabatic index methods.
Future Roadmap
Potential Challenges:
- Theoretical Complexity: Further research may be required to fully understand the intricacies and complexities of $f(mathcal{Q},mathcal{T})$ gravity and its impact on compact stellar objects.
- Experimental Verification: Experimental tests or observations are necessary to validate the predictions and conclusions of this study.
- Generalizability: The authors focus on a specific model of $f(mathcal{Q},mathcal{T})$ gravity. Future studies could explore the generalizability of their findings by considering different models within this framework.
Potential Opportunities:
- Understanding Compact Stellar Objects: This study provides insights into the geometry and physical quantities of anisotropic compact stellar objects, which could contribute to our understanding of these astrophysical entities.
- Exploring Modified Gravity Theories: $f(mathcal{Q},mathcal{T})$ gravity is a modified theory of gravity. Further investigations into this theory may shed light on the nature of gravity itself and its implications in various astrophysical contexts.
- Advancing Stellar Structure Theory: The analysis of equilibrium states and stability of compact stars in the context of $f(mathcal{Q},mathcal{T})$ gravity can enhance our knowledge of stellar structure and the fundamental forces governing star formation and evolution.
In conclusion, this paper investigates the impact of $f(mathcal{Q},mathcal{T})$ gravity on anisotropic compact stellar objects and provides valuable insights into their geometry and physical quantities. While further research and experimental verification are needed, this study opens up opportunities for understanding compact stellar objects, exploring modified gravity theories, and advancing our knowledge of stellar structure.