Anisotropic Bianchi type V perfect fluid cosmological models in Lyra’s geometry

Abstract

a b s t r a c tThe law of variation for mean Hubble's parameter with average scale factor, in an anisotropic Bianchi type V cosmological space-time, is discussed within the frame work of Lyra's manifold. The variation of Hubble's parameter, which gives a constant value of deceleration parameter, generates two types of solutions for the average scale factor; one is the power-law and the other one is of exponential form. Using these two forms, new classes of exact solutions of the field equations have been found for a Bianchi type V space-time filled with perfect fluid in Lyra's geometry by considering a time-dependent displacement field. The physical and kinematical behaviors of the singular and non-singular models of the universe are examined. Exact expressions for look-back time, luminosity distance and event horizon versus redshift are also derived and their significance are discussed in detail. It has been observed that the solutions are compatible with the results of recent observations.

Anisotropic bianchi V cosmological model in Scale Covariant Theory of Gravitation with a time-variable deceleration parameter

“…Following the approach of Saha and Rikhvitsky [24], Zeyauddin and Saha [25] , Shri Ram et al [26][27][28], and Singh et al [29], we solve the equations from ( 11) to ( 14) and ( 19) to get the quadrature solution for the metric functions A, B and C as…”

Interaction of Bianchi type-I anisotropic cloud string cosmological model universe with electromagnetic field

“…(ii) the Hubble parameter H is related to the average scale factor R by the relation as taken by Berman [36] and Ram et al [37]. By using this type of relation, Berman [36],…”

“…Berman and Gomide [38] solved FRW models whereas Ram et al [37] solved Bianchi Type V cosmological models in Lyra's Geometry which is considered as…”

Bulk Viscous Bianchi Type-V Cosmological Model in f(R, T) Theory of Gravity

“…Subsequently, Soleng (Soleng, 1987) looked into cosmological models based on Lyra geometry and discovered that the displacement field contains either a creation field equal to a specific vacuum field that can be regarded as a cosmological term when combined with a gauge vector. A lot of authors have looked into cosmological theories based on Lyra geometry as Pradhan (Pradhan and Vishwakarma, 2004), Singh (Singh, 2008), Singh (Singh and Kale, 2009), Ram (Ram et al, 2010), Adhav (Adhav, 2011), Kumari (Kumari et al, 2013), Singh (Singh and Rani, 2015), Maurya (Maurya and Zia, 2019), Ram (Ram et al, 2020), Hegazy (Hegazy, 2020), where they have investigated the different nature of the model in different cosmological models so far. Recently Brahma (Brahma and Dewri, 2021)has investigated the f(R, T) gravity for Bianchi type-V metric in Lyra geometry and to get the deterministic solution of the model one special form of Harko et al (2011) is used with linearly varying deceleration parameter to investigate the myterious nature of the dark energy.…”