LRS Bianchi type -V cosmology with heat flow in scalar: tensor theory

Abstract

In this paper we present a spatially homogeneous locally rotationally symmetric (LRS) Bianchi type -V perfect fluid model with heat conduction in scalar tensor theory proposed by Saez and Ballester. The field equations are solved with and without heat conduction by using a law of variation for the mean Hubble parameter, which is related to the average scale factor of metric and yields a constant value for the deceleration parameter. The law of variation for the mean Hubble parameter generates two types of cosmologies one is of power -law form and second the exponential form. Using these two forms singular and non -singular solutions are obtained with and without heat conduction. We observe that a constant value of the deceleration parameter is reasonable a description of the different phases of the universe. We arrive to the conclusion that the universe decelerates for positive value of deceleration parameter where as it accelerates for negative one. The physical constraints on the solutions of the field equations, and, in particular, the thermodynamical laws and energy conditions that govern such solutions are discussed in some detail.The behavior of the observationally important parameters like expansion scalar, anisotropy parameter and shear scalar is considered in detail.

Accelerating Bianchi Type-V Cosmology with Perfect Fluid and Heat Flow in Sáez-Ballester Theory

“…In view of (36), it is observed that the above set of solutions satisfy the energy conservation equation (27) identically and hence represent exact solutions of the Einstein's modified field equations (21)- (26). From Eqs.…”

“…Mohanty and Sahu [14,15] have studied Bianchi type-VI 0 and Bianchi type-I models in Saez-Ballester theory. In recent years, Tripathi et al [16], Reddy et al [17,18], Reddy and Naidu [19], Rao et al [20][21][22], Adhav et al [23], Katore et al [24], Sahu [25], Singh [26], Pradhan and Singh [27], Socorro and Sabido [28] and Jamil et al [29] have obtained the solutions in Sáez-Ballester scalar-tensor theory of gravitation in different context. Recently, Naidu et al [30,31] and Reddy et al [32] have studied LRS Bianchi type-II models in Sáez and Ballester scalar tensor theory of gravitation in different context.…”

A New Class of Bianchi Type-I Cosmological Models in Scalar-Tensor Theory of Gravitation and Late Time Acceleration

“…Mohanty and Sahu [9,10] have studied Bianchi type-VI 0 and Bianchi type-I models in Saez-Ballester theory. In recent years, Tripathi et al [11], Reddy et al [12,13], Reddy and Naidu [14], Rao et al [15,16,17], Adhav et al [18], Katore et al [19], Sahu [20], Singh [21] and Pradhan and Singh [22] have obtained the solutions in Sáez-Ballester scalar-tensor theory of gravitation in different context. Recently, Naidu et al [23] and Reddy et al [24] have studied LRS Bianchi type-II and five dimensional dark energy models in Sáez and Ballester scalar tensor theory of gravitation respectively.…”

Cosmological Bianchi Class A Models in Sáez-Ballester Theory

“…For more details for K-essence applied to dark energy, you can see in (Copeland et al, 2006) and reference therein. Many works in SB formalism in the classical regime have been done, where the Einstein field equation is solved in a direct way, using a particular ansatz for the main scalar factor of the universe (Singh & Agrawal, 1991;Ram & Singh, 1995;Mohanty & Pattanaik, 2001;Singh & Ram, 2003), yet a study of the anisotropy behaviour trough the form introduced in the line element has been conected (Reddy & Rao, 2001;Mohanty & Sahu, 2003;2004;Adhav et al, 2007;Rao et al, 2007;2008a-2008bShri et al, 2009;Tripathy et al, 2009;Singh, 2009;Pradhan & Singh, 2010). On another front, the quantization program of this theory has not been constructed.…”