arXiv:2504.18607v1 Announce Type: new
Abstract: This study presents new spherically symmetric and dynamical wormhole solutions supported by ordinary matter modeled as an anisotropic fluid, exhibiting a traversable nature. To achieve this goal, we adopt different approaches to obtain both evolving static and genuinely dynamical solutions, such as imposing a viable condition on the Ricci scalar, considering an anisotropic equation of state, and choosing a suitable energy density profile. For each derived shape function, we analyze the corresponding $2D$ and $3D$ embedding diagrams and verify their compatibility with the weak energy condition through density plots. The equilibrium conditions are also explored graphically to assess the stability of the obtained solutions, which are shown to be stable within the analyzed framework. Additionally, we investigate the complexity factor associated with each configuration, examining its dependence on both temporal evolution and the coupling parameter $lambda$ of the $f(R,T)$ theory.
In this study, new spherically symmetric and dynamical wormhole solutions are presented, which are supported by ordinary matter modeled as an anisotropic fluid. These wormholes are found to be traversable, meaning that they could potentially be used for interstellar travel.
To achieve these solutions, different approaches are adopted. First, a viable condition on the Ricci scalar is imposed. Then, an anisotropic equation of state is considered, and a suitable energy density profile is chosen.
The derived shape functions are analyzed in both 2D and 3D embedding diagrams. The density plots of these diagrams verify their compatibility with the weak energy condition, which is an important requirement for traversable wormholes.
The stability of the obtained solutions is also explored. Graphical analysis of the equilibrium conditions shows that these solutions are stable within the analyzed framework. This is an encouraging result, as stability is crucial for the practical implementation of wormholes.
Furthermore, the complexity factor associated with each configuration is investigated. The dependence of this factor on both temporal evolution and the coupling parameter λ of the f(R,T) theory is examined. This analysis provides insights into the behavior and properties of the wormhole solutions.
Future Roadmap
The findings of this study open up several opportunities for future research and development in the field of wormhole physics. Here is a potential roadmap for readers interested in exploring these opportunities:
- Further investigate the stability of the obtained wormhole solutions by considering perturbations and analyzing their effects. This can provide a more comprehensive understanding of the long-term behavior and viability of these wormholes.
- Explore the implications of the anisotropic equation of state and energy density profile on the physical properties of the wormholes. This can help refine the modeling of the wormhole matter and potentially lead to the discovery of new phenomena.
- Investigate the possibility of constructing wormholes with different shapes and geometries. The current study focuses on spherically symmetric solutions, but there may be other configurations that can exhibit traversable properties.
- Examine the effects of different matter models on the stability and traversability of wormholes. This can involve considering different types of fluids or even exotic matter, which could lead to new insights and potential breakthroughs.
- Extend the analysis to higher-dimensional wormholes. The current study focuses on 2D and 3D embedding diagrams, but there may be interesting and novel properties that emerge in higher dimensions.
- Consider the implications of the obtained wormhole solutions for practical applications, such as interstellar travel. This can involve studying the energy requirements, potential constraints, and engineering challenges associated with utilizing these wormholes.
Overall, the study presents exciting possibilities for the exploration of wormholes and their potential utilization for space travel. Future research in this field can contribute to our understanding of fundamental physics and open up new frontiers for human exploration.