Inflationary Cosmological Models Using Bianchi Types II-IX: A Mathematical Approach
| Authors | Sujit Kumar Mahto1, Sanjay Sharma1, Laxmi Poonia2, Preeti Kataria1 |
| Affiliations |
1Department of Mathematics, NIMS University Rajasthan, 303121 Jaipur, India 2Department of Mathematics and Statistics, Manipal University, 303007 Jaipur, India |
| Е-mail | sanjay.sharma1@nimsuniversity.org |
| Issue | Volume 17, Year 2025, Number 4 |
| Dates | Received 05 April 2025; revised manuscript received 17 August 2025; published online 29 August 2025 |
| Citation | Sujit Kumar Mahto, Sanjay Sharma, et al., J. Nano- Electron. Phys. 17 No 4, 04016 (2025) |
| DOI | https://doi.org/10.21272/jnep.17(4).04016 |
| PACS Number(s) | 04.20. – q, 98.80. – k, 98.80.Jk |
| Keywords | Inflationary cosmology, Bianchi metrics, Anisotropy (3) , Scalar field dynamics, Einstein Field Equations, Deceleration parameter. |
| Annotation |
Inflationary cosmological models provide a robust framework for addressing early-universe challenges, such as the horizon and flatness problems. This study explores anisotropic inflation using Bianchi Types II-IX, analyzing the influence of anisotropy on inflationary dynamics and cosmic evolution. By solving Einstein Field Equations with scalar field potentials in anisotropic spacetimes, we derive key equations governing the Hubble parameter, shear scalar, and deceleration parameter. The evolution of energy density is also examined, providing insights into the behavior of anisotropic inflationary models. These models offer a deeper understanding of early universe conditions and help refine standard inflationary scenarios. Observational data, including cosmic microwave background anomalies and primordial gravitational waves, further validate these theoretical predictions. The study also explores how anisotropic inflationary models contribute to explaining large-scale cosmic structure formation. A gradual transition from anisotropic to isotropic phases is shown to be consistent with observational constraints and theoretical expectations. The findings highlight the necessity of incorporating anisotropic effects to develop a more complete cosmological model. Future research will focus on refining these models by incorporating quantum corrections and higher-order perturbations. |
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