arXiv:2408.00022v1 Announce Type: new
Abstract: The dynamics of perfect fluid as a source in the context of modified gravity, specifically $f(Q,T)$ gravity, are examined within the Friedmann-Lema^itre-Robertson-Walker (FLRW) cosmological model. This gravity is a generic function of the non-metricity scalar $Q$ and its trace $T$. We investigate the characteristics of the derived cosmological model using a parameterized form of Hubble’s parameter, $H(z) = H_0left[Omega_{0m}(1+z)^3 + (1-Omega_{0m})right]^{frac{1}{2}}$ (Mahmood et al. Int. J. Geom. Methods Mod. Phys., https://doi.org/10.1142/S0219887824502049). Our examination reveals how physical parameters such as energy density, pressure, and the equation of state parameter, among others, in our model accurately describe the physical behavior of the cosmos. Furthermore, we explore the kinematic parameters in our model, which provide valuable insights into the cosmos’s expansion history, including its acceleration, deceleration, and the evolution of its large-scale structure. By exploring these aspects, we gain a deeper understanding of the cosmos’s dynamics and evolution within the context of modified gravity.

The article examines the dynamics of a perfect fluid as a source in the context of modified gravity, specifically $f(Q,T)$ gravity, within the Friedmann-Lema^itre-Robertson-Walker (FLRW) cosmological model. The gravity in question is a generic function of the non-metricity scalar $Q$ and its trace $T$. It utilizes a parameterized form of Hubble’s parameter, $H(z) = H_0left[Omega_{0m}(1+z)^3 + (1-Omega_{0m})right]^{frac{1}{2}}$ to investigate the characteristics of the derived cosmological model (Mahmood et al., 2024). The physical parameters such as energy density, pressure, and the equation of state parameter are shown to accurately describe the physical behavior of the cosmos within this model. Additionally, kinematic parameters are explored, providing insights into the expansion history, acceleration, deceleration, and evolution of the large-scale structure of the cosmos. This examination allows for a deeper understanding of the dynamics and evolution of the cosmos within the framework of modified gravity.

Future Roadmap

Challenges

  • Further investigation is required to validate the compatibility of the derived cosmological model with observational data. This would involve comparing the model predictions with existing data from cosmological observations and experiments.
  • The complex nature of modified gravity theories, such as $f(Q,T)$ gravity, poses challenges in fully understanding and interpreting the physical implications. More theoretical development and experimental verification are needed to establish the validity and applicability of these theories.
  • Exploring the implications of the derived cosmological model on other astrophysical phenomena, such as the formation and evolution of galaxies, the distribution of dark matter, and the behavior of black holes, would be crucial to comprehensively understand the impact of modified gravity.

Opportunities

  • The study of modified gravity theories opens up new avenues for exploring fundamental questions in cosmology, such as the nature of dark energy and the explanation for the accelerated expansion of the universe. It allows for alternative explanations to the cosmological constant and opens up possibilities for a deeper understanding of the fundamental forces of nature.
  • Advancements in observational techniques and data collection, such as those provided by upcoming missions and experiments, offer opportunities to test and validate the predictions of the derived cosmological model. These include missions like the James Webb Space Telescope and experiments like the Square Kilometre Array.
  • Collaboration between theoretical physicists, observational astronomers, and experimental scientists would be essential to tackle the interdisciplinary challenges posed by modified gravity theories. Pooling together expertise and resources can lead to significant breakthroughs in understanding the dynamics and evolution of the cosmos.

In conclusion, the examination of the dynamics of a perfect fluid as a source in the context of modified gravity, specifically $f(Q,T)$ gravity, within the FLRW cosmological model provides valuable insights into the behavior and evolution of the cosmos. Future research should address the challenges of validating the model with observational data, understanding the physical implications of modified gravity theories, and exploring the broader implications on other astrophysical phenomena. However, these challenges also present opportunities for further investigation and a deeper understanding of fundamental questions in cosmology.

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