Inflationary Cosmological Model of Bianchi Type II in General Relativity

Authors Sunil Kumawat , Laxmi Poonia
Affiliations

Department of Mathematics and Statistics, Manipal University Jaipur, India

Е-mail sunilkumawatsir@gmail.com
Issue Volume 15, Year 2023, Number 4
Dates Received 15 June 2023; revised manuscript received 14 August 2023; published online 30 August 2023
Citation Sunil Kumawat, Laxmi Poonia, J. Nano- Electron. Phys. 15 No 4, 04018 (2023)
DOI https://doi.org/10.21272/jnep.15(4).04018
PACS Number(s) 98.80. – k
Keywords Bianchi Type II, Space-time, Cosmic-sting, General relativity.
Annotation

A string cosmic model with a perfect fluid distribution model has been researched in general relativity. It is based on the notion of Bianchi II homogeneous bifurcation. During the early universe's inflation, the cosmos expanded at an accelerated rate, stretching out space-time and smoothing out any kinks that may have occurred. The behavior of gravity in terms of the curvature of space-time serves as the foundation for this model. This brief epoch lasted just a fraction of a second, yet it had a tremendous impact on the universe's eventual history. The universe is uniform and isotropic on large sizes, but inflation happened in the early universe, and the world is homogenous and isotropic on small scales. The universe's energy was liberated in the form of particles and radiation. The equation of state parameter, which connects cosmic fluid pressure and energy density, is supposed to remain constant throughout the universe's development. This assumption simplifies the mathematical explanation of the universe's development compared to models with a time-varying equation of state. The initial event that led to the formation of galaxies and stars was the phase change. The assumption is that the homogeneous generalisation of Bianchi type II with stress-energy-momentum, density, and pressure may be used to solve the Einstein metric field equations. The resulting model will depict the cosmos expanding, shearing, and spinning. Discuss the geometrical and physical properties of the model as well to help you understand how it works.

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