Abstract
Objectives: To present a new solution to the field equations obtained for Bianchi type-III universe by using the law of variation of H, which yields constant DP. Methods: We study a Bianchi type-III cosmological model with a cloud strings with particles connected to them in Lyra geometry. To find the exact solutions of survival field equations we consider here that the shear scalar and scalar expansion are proportional to each other (saq ) that leads to the equation b = cm and secondly we adopt the assumption considering the Deceleration Parameter q as a negative constant quantity giving the inflationary model. The geometrical and physical properties are studied and compared with the recent observational data. Findings: The present model starts at t=0 with 0 volume and as time progresses it expands with accelerated rate and the model shows that the present universe is particle dominated. Keywords: Bianchi type III metric; inflation; Lyra geometry; cloud string; anisotropic
Highlights
It is still an interesting area of research to discover its unknown phenomenon that has yet to observe to study the ultimate fate of the universe
Inspired by the above discussions, here we have studied the string cosmological model with particles connected to them in Bianchi type-III universe considering Lyra geometry
We have attempted to present a new solution to the field equations obtained for Bianchi type-III universe in Lyra geometry by using the law of variation of Hubble’s parameter H which yields constant DP
Summary
It is still an interesting area of research to discover its unknown phenomenon that has yet to observe to study the ultimate fate of the universe. In the recent past years many prominent authors have investigated the cosmic strings in the context of Lyra geometry since it can play a great role in describing the universe in the early stages of evolution (Kibble [4,5]) and they can give rise to density perturbations which can lead. The several researchers are trying to solve and explain those aspects of the universe by the help of different modified theories of Einstein General theory of relativity such as Weyl’s theory, Brans-Dicke theory, f(R) gravity theory, f(R, T) theory, Lyra geometry, scalar tensor theory etc. Inspired by the above discussions, here we have studied the string cosmological model with particles connected to them in Bianchi type-III universe considering Lyra geometry. Physical and geometrical properties of our model with the help of graph are discussed in sec.; In sec. conclusions of the paper are given
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