Some Bianchi Type III String Cosmological Models with Bulk Viscosity

Abstract

We investigate the integrability of cosmic strings in Bianchi III space-time in presence of a bulk viscous fluid by applying a new technique. The behavior of the model is reduced to the solution of a single second order nonlinear differential equation. We show that this equation admits an infinite family of solutions. Some physical consequences from these results are also discussed.

String fluid cosmological models in general relativity

“…Recently , , Yadav et al (2007aYadav et al ( , 2007b, Banerjee et al (1990), Rahaman et al (2002Rahaman et al ( , 2003, Ram and Singh (1995), Singh and Singh (1999), Tikkekar and Patel (1992), Reddy (2003aReddy ( , 2003b, Pradhan et al (2007), Baysal et al (2001), Carminati and McIntosh (1980), Katore and Rane (2006), Bali and Anjali (2006), Saha and Visinescu (2008) have studied string cloud cosmology. String cosmologies with bulk viscosity have been studied by Wang (2004Wang ( , 2005Wang ( , 2006 and .…”

Bianchi Type-III String Cosmological Models with Time Dependent Bulk Viscosity

“…Recently Wang [32 -35] has also discussed LRS Bianchi type I and Bianchi type III cosmological models for a cloud string with bulk viscos-ity. Very recently, Yadav, Rai and Pradhan [36] have found the integrability of cosmic string in Bianchi type III space-time in presence of bulk viscous fluid by applying a new technique. Motivated by the situations discussed above, in this study, we established a formalism for studying the new integrability of massive strings in Bianchi III space-time in presence of a variable bulk viscosity.…”

Bulk viscous string cosmological models with electromagnetic field

“…Besides the pioneer works of Letelier (1983) and Stachel (1980), , , Yadav et al (2007aYadav et al ( , 2007b, Banerjee et al (1990), Rahaman et al (2003), Ram and Singh (1995), Singh and Singh (1999), Tikekar and Patel (1992), Reddy (2003aReddy ( , 2003b, Pradhan et al (2007), Katore and Rane (2006), Bali and Anjali (2006), Tripathy et al (2008aTripathy et al ( , 2008bTripathy et al ( , 2009) have studied string cloud cosmology. String cosmologies with bulk viscosity have been studied by Wang (2004Wang ( , 2005Wang ( , 2006, Bali et al ( , 2008 and Tripathy et al (2008b).…”