Tilted Kantowski–Sachs cosmological model in Brans–Dicke theory for perfect fluid has been investigated. The general solution of field equations in Brans–Dicke theory for the combined scalar and tensor field are obtained by using power law relation. Also, some physical and geometrical parameters are obtained and discussed.

Tilted Kantowski-Sachs cosmological model in Brans-Dicke theory of gravitation

In this paper, we have proposed a cosmological model, which is consistent with the new findings of ‘The Supernova Cosmology project’ headed by Saul Perlmutter,
 and the ‘High-Z Supernova Search team’, headed by Brian Schimdt. According to these new findings, the universe is undergoing an expansion with an increasing rate, in contrast to the earlier belief that the rate of expansion is constant or the expansion is slowing down. We have considered spatially homogeneous and anisotropic Bianchi-V dark energy model in Brans–Dicke theory of gravitation. We have taken the scale factor $$a(t)=k t^\alpha e^{\beta t}$$
 , which results into variable deceleration parameter (DP). The graph of DP shows a transition from positive to negative, which shows that universe has passed through the past decelerated expansion to the current accelerated expansion phase. In this context, we have also calculated and plotted various parameters and observed that these are in good agreement with physical and kinematic properties of the universe and are also consistent with recent observations.

Anisotropic Bianchi-V dark energy model under the new perspective of accelerated expansion of the universe in Brans–Dicke theory of gravitation

We study the Bianchi type-V string cosmological model with bulk viscosity in theory of gravity by considering a special form and linearly varying deceleration parameter. This is an extension of the earlier work of Naidu et al., 2013, where they have constructed the model by considering a constant deceleration parameter. Here we find that the cosmic strings do not survive in both models. In addition we study some physical and kinematical properties of both models. We observe that in one of our models these properties are identical to the model obtained by Naidu et al., 2013, and in the other model the behavior of these parameters is different.

/pdf/bianchi-type-v-bulk-viscous-cosmic-string-in-gravity-with-2l9ox3ywfn.pdf

Bianchi Type-V Bulk Viscous Cosmic String in Gravity with Time Varying Deceleration Parameter

We investigate locally rotational symmetric (LRS) Bianchi type I space time coupled with scalar field. String cosmological models generated by a cloud of strings with particles attached to them are studied in the Brans-Dicke theory. We assume that the expansion scalar is proportional to the shear scalar and also power law ansatz for scalar field. The physical behavior of the resulting model is discussed through different parameters.

https://downloads.hindawi.com/archive/2014/909374.pdf

LRS Bianchi Type-I Inflationary String Cosmological Model in Brans-Dicke Theory of Gravitation

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LRS Bianchi Type-I Inflationary String Cosmological Model in Brans-Dicke Theory of Gravitation