Dilip Paul
Articles written in Pramana – Journal of Physics
Volume 71 Issue 6 December 2008 pp 1247-1257 Research Articles
Anisotropic Bianchi-I universe with phantom field and cosmological constant
Bikash Chandra Paul Dilip Paul
We study an anisotropic Bianchi-I universe in the presence of a phantom field and a cosmological constant. Cosmological solutions are obtained when the kinetic energy of the phantom field is of the order of anisotropy and dominates over the potential energy of the field. The anisotropy of the universe decreases and the universe transits to an isotropic flat FRW universe accommodating the present acceleration. A class of new cosmological solutions is obtained for an anisotropic universe in case an initial anisotropy exists which is bigger than the value determined by the parameter of the kinetic part of the field. Later, an autonomous system of equations for an axially symmetric Bianchi-I universe with phantom field in an exponential potential is studied. We discuss the stability of the cosmological solutions.
Volume 72 Issue 5 May 2009 pp 903-914 Research Articles
Inflation with hyperbolic potential in the braneworld model
Dilip Paul Bikash Chandra Paul Xin-He Meng
In this paper we study inflationary dynamics with a scalar field in an inverse coshyperbolic potential in the braneworld model. We note that a sufficient inflation may be obtained with the potential considering slow-roll approximation in the high energy limit. We determine the minimum values of the initial inflaton field required to obtain sufficient inflation and also determine the relevant inflationary parameters. The numerical values of spectral index of the scalar perturbation spectrum are determined by varying the number of e-foldings for different initial values of the inflaton field. The result obtained here is in good agreement with the current observational limits.
Volume 96, 2022
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