Mathematical analysis on anisotropic Bianchi Type-III inflationary string Cosmological models in Lyra geometry

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 (σ αθ ) that leads to the equation b = c m 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.

Bianchi Type-III cosmological model with cloud string bulk viscosity

“…R. K. Tiwari et al analysed Bianchi type III string cosmological model in f (R, T) modified theory of gravity by assuming 𝑓 (𝑅, 𝑇) = 𝑅 + 2𝑓(𝑇) which concluded with a note that the universe is in accelerating phase of expansion [2] . Jiten B et al studied Bianchi type-III cosmological model with a cloud string with particles connected to them in Lyra geometry and concluded that the present model starts at 𝑡 = 0 with zero volume and as time progresses it expands with accelerated rate and the model shows that the present universe is particle dominated [3] . Kandelkar et.…”

Higher Dimensional Bianchi Type-I Cosmological Models With Massive String in General Relativity

“…Kaiser (Kaiser and Stebbins, 1984), Banerjee (Banerjee et al, 1990), Wang (Wang, 2005), Bali et al (Bali et al, 2007), Power and Deshmukh (Pawar and Deshmukh, 2010), Sahoo and Mishra (Sahoo and Mishra, 2015), Singh (Singh, 2013), Goswami (Goswami et al, 2016), Reddy (Reddy and Naidu, 2007), Khadekar (Khadekar et al, 2005;Khadekar and Tade, 2007), Yadav (Yadav et al, 2011), Ladke (Ladke, 2014), Singh and Baro (Singh and Baro, 2020), Baro and Singh (Baro and Singh, 2020) are some of the authors who studied different string cosmological models within the general relativity in a different contexts in various space-times. In addition to the above mentioned authors, recently Choudhury (Choudhury, 2017), Tripathi (Tripathi et al, 2017), Dubey et al (Dubey et al, 2018), Tiwari et al (Tiwari et al, 2019), Ram et al (Ram and Verma, 2019), Mollah et al (Mollah et al, 2019), and Baro et al(Baro et al, 2021) investigated different string cosmological models in various space times.…”

Higher Dimensional LRS Bianchi Type-I String Cosmological Model with Bulk Viscosity in General Relativity

“…A new class of LRS Bianchi type-V cosmological model with string dust as a source of gravitational field was investigated in (12) . In (13) the authors have endeavored to introduce another solution for the field equations obtained for Bianchi type-III cosmological model in Lyra manifold by utilizing the law of variation of Hubble's Parameter (H), which yields constant DP.…”