Accelerating Universe as Window for Extra Dimensions

Abstract

Homogeneous cosmological solutions are obtained in five dimensional space time assuming equations of state $p=k\rho$ and $p_5=\gamma \rho$ where p is the isotropic 3 - pressure and $p_5$, that for the fifth dimension. Using different values for the constants k and $\gamma$ many known solutions are rediscovered. Further the current acceleration of the universe has led us to investigate higher dimensional gravity theory, which is able to explain acceleration from a theoretical view point without the need of introducing dark energy by hand. We argue that the terms containing higher dimensional metric coefficients produce an extra negative pressure that apparently drives an acceleration of the 3D space, tempting us to suggest that the accelerating universe seems to act as a window to the existence of extra spatial dimensions. Interestingly the 5D matter field remains regular while the \emph{effective} negative pressure is responsible for the inflation. Relaxing the assumptions of two equations of state we also present a class of solutions which provide early deceleration followed by a late acceleration in a unified manner. Interesting to point out that in this case our cosmology apparently mimics the well known quintessence scenario fuelled by a generalised Chaplygin-type of fluid where a smooth transition from a dust dominated model to a de Sitter like one takes place.

20 pages,3 figures

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Cited by in corpus (14)

• Parameters of cosmological models and recent astronomical observations
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• Constraints on $\Lambda (t)$-cosmology with power law interacting dark sectors
• Anisotropic evolution of 5D Friedmann-Robertson-Walker spacetime
• Quintessential Phenomena in Higher Dimensional Space Time
• FRW type of cosmology with a Chaplygin gas
• Accelerating Universe from an Evolving Lambda in Higher Dimension
• Multidimensional gravitational model with anisotropic pressure
• Accelerating Universe in Higher Dimensional Space Time : an alternative approach
• An Alternative Approach to the Exact Solution of FRW-Type Spacetime with a Generalized Chaplygin Gas
• Emergent Universe Scenario in the Modified Chaplygin gas : Towards an Exact Solution and Observational Constraints
• Studies of the Inhomogeneous Cosmology in Higher Dimensional space-time with a Cosmological Constant
• Anisotropic evolution of D-dimensional FRW spacetime
• Study of Tachyonic Field and its statefinder diagnostics in Various Scenarios of The Anisotropic Universe