arXiv:2504.14159v1 Announce Type: new
Abstract: This article focuses on different anisotropic models within the framework of a specific modified $f(mathcal{R},mathcal{T},mathcal{R}_{zetagamma}mathcal{T}^{zetagamma})$ gravity theory. The study adopts a static spherically symmetric spacetime to determine the field equations for two different modified models: (i) $f(mathcal{R},mathcal{T},mathcal{R}_{zetagamma}mathcal{T}^{zetagamma})=mathcal{R}+etamathcal{R}_{zetagamma}mathcal{T}^{zetagamma}$, and (ii) $f(mathcal{R},mathcal{T},mathcal{R}_{zetagamma}mathcal{T}^{zetagamma})=mathcal{R}(1+etamathcal{R}_{zetagamma}mathcal{T}^{zetagamma})$, where $eta$ is a constant parameter. To address the additional degrees of freedom in the field equations and obtain their corresponding unique solution, the Durgapal-Fuloria spacetime geometry and MIT bag model are utilized. Matching conditions are applied to determine unknown constants within the chosen spacetime geometry. We adopt a certain range of model parameters to analyze the physical characteristics of the developed models in the interior distribution of a particular compact star candidate 4U 1820-30. Energy conditions and some other tests are also implemented to ensure their viability and stability. Additionally, the disappearing radial pressure constraint is employed to find the values of the model parameter, aligning with the observed information of an array of stars. The study concludes that both of our models are well-behaved and satisfy all necessary conditions, and thus we observe them suitable for the modeling of astrophysical objects.
The study focuses on different anisotropic models within the framework of a modified $f(mathcal{R},mathcal{T},mathcal{R}_{zetagamma}mathcal{T}^{zetagamma})$ gravity theory. It examines two specific modified models and applies them to the Durgapal-Fuloria spacetime geometry and MIT bag model to determine unique solutions for the field equations. Matching conditions are used to determine unknown constants, and various tests and constraints are applied for viability and stability.
The study finds that both models are well-behaved and satisfy necessary conditions, making them suitable for modeling astrophysical objects. Based on these conclusions, a future roadmap for readers could include the following:
1. Further Exploration of Anisotropic Models
- Readers can delve deeper into the concept of anisotropic models within the modified $f(mathcal{R},mathcal{T},mathcal{R}_{zetagamma}mathcal{T}^{zetagamma})$ gravity theory.
- They can explore other modifications or variations of the theory to investigate different aspects of anisotropy.
- Further research can be conducted to understand the implications and applications of anisotropic models in astrophysics.
2. Study of Different Spacetime Geometries
- Readers can explore other spacetime geometries and analyze their compatibility with the modified models.
- Investigation into the behavior of the field equations and unique solutions in various spacetime geometries can provide further insights into the models’ applicability.
3. Validation and Comparison with Observational Data
- The study demonstrates the viability and stability of the models; however, readers can engage in the validation process by comparing the models’ predictions with observational data.
- Exploring the behavior of the models in different astrophysical environments and comparing their results with existing knowledge can provide a better understanding of their accuracy.
Challenges and Opportunities
While the study presents promising results, there are potential challenges and opportunities on the horizon:
- Complexity of Field Equations: The modifications in the gravity theory lead to additional degrees of freedom in the field equations. Further research is needed to understand the implications and consequences of these additional degrees of freedom.
- Availability of Observational Data: Comparing the models with observational data requires access to relevant and accurate information. The availability and quality of such data may vary, presenting challenges in validating the models.
- Extensions and Generalizations: Researchers can explore further extensions or generalizations of the modified models to incorporate other physical phenomena or address specific astrophysical scenarios. These extensions may open up new avenues for investigation and application.
- Collaboration and Interdisciplinary Research: Given the complexity and interdisciplinary nature of astrophysics and theoretical physics, collaboration between researchers from different disciplines can enhance the understanding and development of anisotropic models.
Overall, the conclusions of the study provide a foundation for readers to explore anisotropic models within the modified gravity theory framework. By further investigating different spacetime geometries, validating the models with observational data, addressing challenges, and exploring opportunities, readers can contribute to the advancement of astrophysics and theoretical physics.