arXiv:2410.23307v1 Announce Type: new
Abstract: Teleparallel description of gravity theories where the gravity is mediated through the tetrad field and consequent torsion provide an alternative route to explain the late time cosmic speed up issue. Generalization of the teleparallel gravity theory with different functional forms of the torsion scalar $T$ leads to $f(T)$ gravity. The role of scalar field played in addressing issues in cosmology and astrophysics has developed an interest in the inclusion of a scalar field along with an interaction potential in the action. Such a generalized gravity theory is dubbed as $f(T,phi)$ theory. We have explored such a gravity theory to reconstruct the interaction potential of the scalar field required for an extended matter bounce scenario. The cosmological implications of the reconstructed scalar field potential are studied considering two viable and well known functional forms of $f(T,phi)$. The energy conditions of these model are discussed to assess the viability of the cosmological models.
Recent research has explored the concept of teleparallel gravity theories as an alternative explanation for the late-time cosmic speed up issue. These theories involve the use of the tetrad field and consequent torsion to mediate gravity. A specific type of teleparallel gravity theory, known as $f(T)$ gravity, has been developed by generalizing the functional form of the torsion scalar $T$.
In this study, a further generalization of the teleparallel gravity theory is considered, incorporating a scalar field $phi$ and an interaction potential. This theory, known as $f(T,phi)$ theory, is explored to reconstruct the interaction potential of the scalar field that is required for an extended matter bounce scenario.
The reconstructed scalar field potentials are then analyzed in terms of their cosmological implications. Two viable and well-known functional forms of $f(T,phi)$ are considered, and the energy conditions of these models are discussed to assess their viability.
Roadmap for the future
1. Further exploration of $f(T)$ gravity
One potential future direction is to continue studying the properties and implications of $f(T)$ gravity theories. This could involve investigating different functional forms of the torsion scalar $T$ and analyzing their effects on the late-time cosmic speed up issue.
2. Investigation of additional scalar field potentials
Expanding on the current study, future research could explore alternative interaction potentials for the scalar field $phi$ in the $f(T,phi)$ theory. This could involve considering different functional forms and analyzing their impact on cosmological models.
3. Experimental confirmation
Another important step is to seek experimental confirmation or observational evidence for the predictions made by the $f(T,phi)$ theory. This could involve analyzing observational data, conducting laboratory experiments, or utilizing other experimental techniques to test the validity of the reconstructed scalar field potential.
4. Assessing the viability of cosmological models
Continued analysis of the energy conditions and other criteria for assessing the viability of cosmological models is crucial. Future research could focus on refining these assessments and applying them to a broader range of models to gain a better understanding of the viability of the $f(T,phi)$ theory.
Challenges and opportunities on the horizon
While the $f(T,phi)$ theory shows promise in addressing the late-time cosmic speed up issue and offering an alternative description of gravity, there are several challenges and opportunities to consider.
- Theoretical challenges: Developing a deeper theoretical understanding of the $f(T,phi)$ theory and its implications is essential for further progress. This may involve confronting the theory with other fundamental principles and theories in physics to ensure its consistency.
- Experimental challenges: Testing the predictions of the $f(T,phi)$ theory requires advanced experimental techniques and observational data. Experimentalists and observational astronomers will need to collaborate closely with theorists to design and carry out experiments that can confirm or refute the predictions of the theory.
- Bridging the gap between theory and observation: Establishing a clear connection between the theoretical framework of the $f(T,phi)$ theory and observational data is essential for its acceptance within the scientific community. Efforts should be made to communicate the theory’s predictions in a way that observational astronomers can test and verify.
- Interdisciplinary collaboration: The study of $f(T,phi)$ theory requires collaboration among researchers in different disciplines, including theoretical physics, cosmology, and observational astronomy. Encouraging interdisciplinary collaboration and communication is crucial for making progress in this field.
In conclusion, the $f(T,phi)$ theory offers a potential avenue for explaining the late-time cosmic speed up issue and provides an alternative description of gravity. Future research should focus on further exploring the theory, investigating alternative scalar field potentials, seeking experimental confirmation, and refining the assessments of cosmological models. However, several challenges, including theoretical and experimental hurdles, must be overcome to advance the understanding and acceptance of the $f(T,phi)$ theory.