Magnetized string cosmological model in cylindrically symmetric inhomogeneous universe with time dependent cosmological-term lambda

Abstract

Cylindrically symmetric inhomogeneous magnetized string cosmological model is investigated with cosmological term Λ varying with time. To get the deterministic solution, it has been assumed that the expansion (θ) in the model is proportional to the eigen value σ 1 1 of the shear tensor σ i j . The value of cosmological constant for the model is found to be small and positive which is supported by the results from recent supernovae Ia observations. The physical and geometric properties of the model are also discussed in presence and absence of magnetic field.

Kantowski-Sachs Cosmological model with quark and strange quark matter in f(R) theory of gravity

“…Banerjee and Santos [30] had obtained the solutions of Bianchi type II, VIII and IX under this condition. Recently, many authors have assumed this condition in order to obtain solutions of the eld equations for di erent types cosmological models [31][32][33][34][35][36][37][38].…”

“…Using equations (21), (24), (25) and (34) in equation (10), the f (R) function for quark matter is found to be…”

Bianchi type-II universe with linear equation of state

“…[44]. Recently, many authors have assumed this condition in order to obtain solutions of the field equations for different types cosmological models [55][56][57][58][59][60][61]. From equations (2.6), (2.7) and (3.1), we obtain…”

Exact solution of perfect fluid massive string cosmology in Bianchi type III space-time with decaying vacuum energy density Λ

“…Patel and Maharaj (1996) investigated stationary rotating world model with magnetic field. Ram and Singh (1995) obtained some new exact solutions of string cosmology with and without a source free magnetic field for Bianchi type I space-time in the different basic form considered by Carminati and McIntosh (1980). Exact solutions of string cosmology for Bianchi type II, VI 0 , VIII and IX space-times have been studied by Krori et al (1990) and Wang (2003).…”

“…Recently Kaluza-Klein cosmological solutions are obtained by Yilmaz (2006) for quark matter coupled to the string cloud in the context of general relativity. Reddy (2003, , , Rao et al (2008aRao et al ( , 2008bRao et al ( , 2009Rao and Vinutha (2010), Pradhan (2007Pradhan ( , 2009), Pradhan and Mathur (2008) and Pradhan et al ( , 2009Pradhan et al ( , 2010 have studied string cosmological models in different contexts. Recently, Tripathi et al (2009Tripathi et al ( , 2010 have obtained cosmic strings with bulk viscosity.…”