Higher Dimensional Cosmology with Normal Scalar Field and Tachyonic Field

Abstract

We have considered N -dimensional Einstein field equations in which fourdimensional space-time is described by a FRW metric and that of extra dimensions by an Euclidean metric. We have supposed that the higher dimensional anisotropic universe is filled with only normal scalar field or tachyonic field. Here we have found the nature of potential of normal scalar field or tachyonic field. From graphical representations, we have seen that the potential is always decreases with field φ increases.Keywords Higher dimensions · Acceleration · Scalar field · Tachyonic fieldRecently the most interesting problems of particle physics cosmology is the origin of accelerated expansion of the present universe. From astronomical observations it is evident that the present day universe has the critical energy density containing about 70% dark energy and 30% dark matter, responsible for cosmic acceleration [1]. From string/M-theory or braneworld model recently many cosmological models have been constructed by introducing quintessence, dilaton or antisymmetric tensor field. On the other hand dark energy models are basically based on holographic principle developed by AdS/CFT.To understand the current quintessential behavior the existence of extra dimensions is very much necessary like dark energy and dark matter. Model of higher dimension was proposed by Kaluza and Klein [2, 3] who tried to unify gravity with electromagnetic interaction by introducing an extra dimension which is basically an extension of Einstein general

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