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Chakraborty S.,Seacom Engineering College | Debnath U.,Bengal Engineering and Science University
International Journal of Theoretical Physics | Year: 2011

In this work, we have considered that the anisotropic universe is filled with normal matter and phantom field (or tachyonic field). We have chosen the exponential forms of scale factors a and b in such a way that there is no singularity for evolution of the anisotropic universe. Here we have shown that the emergent scenario is possible for open, closed or flat universe if the universe contains phantom field or tachyonic field or phantom tachyonic field. From recently developed statefinder parameters, the behaviour of different stages of the evolution of the emergent universe have been generated. © 2010 Springer Science+Business Media, LLC. Source


Khatua P.B.,Netaji Subhash Engineering College | Chakraborty S.,Seacom Engineering College | Debnath U.,Bengal Engineering and Science University
International Journal of Theoretical Physics | Year: 2012

In this work, we have considered dilaton dark energy model in Weyl-scaled induced gravitational theory in presence of barotropic fluid. It is to be noted that the dilaton field behaves as a quintessence. Here we have discussed the role of dilaton dark energy in modified gravity theories, namely f(R),f(T) and Hořava-Lifshitz gravities and analyzed the behavior of the dilaton field and the corresponding potential in respect to these modified gravity theories instead of Einstein's gravity. In f(R) and f(T) gravities, we have considered some particular forms of f(R) and f(T) and we have shown that the potentials always increase with the dilaton fields. But in Hořava-Lifshitz gravity, it has been seen that the potential always decreases as dilation field increases. © 2011 Springer Science+Business Media, LLC. Source


Chakraborty S.,Seacom Engineering College | Debnath U.,Bengal Engineering and Science University
International Journal of Modern Physics A | Year: 2010

In this work, we consider the Universe is being filled with matter composed of a chameleon-type dark energy scalar field. Employing a particular form of potential, we discuss the field's role in the accelerating phase of the Universe for an anisotropic model using the logamediate and intermediate forms of scale factors. The natures of statefinder and slow-roll parameters are discussed diagrammatically. © 2010 World Scientific Publishing Company. Source


Chakraborty S.,Seacom Engineering College | Debnath U.,Bengal Engineering and Science University
Gravitation and Cosmology | Year: 2011

We consider anisotropic models of the Universe in the presence of a Brans-Dicke (BD) scalar field φ{symbol}, a causal viscous fluid and a barotropic fluid. We show that, irrespective of the fluid, the causality theory provides a late-time acceleration of the Universe. If deceleration occurs in a radial direction and acceleration in the transverse direction, then the anisotropic Universe will accelerate for a particular condition in a power-law representation of the scale factors. © 2011 Pleiades Publishing, Ltd. Source


Mahapatra G.S.,Siliguri Institute of Technology | Mahapatra B.S.,Seacom Engineering College
International Journal of Performability Engineering | Year: 2011

In this paper, redundancy allocation problem for system reliability has been presented with entropy as objective function. This model using entropy has been used to account for the lack of expert's information. The goal of entropy redundancy allocation problem is to find out optimal level of redundancies at each subsystem in a way that maximizes reliability and entropy of the system subject to specified system cost. Intuitionistic fuzzy optimization technique is used to analyze an entropy based reliability redundancy optimization problem. Numerical examples have been provided to illustrate the model. © RAMS Consultants. Source

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