Accelerating Universe from an Evolving Lambda in Higher Dimension

Abstract

We find exact solutions in five dimensional inhomogeneous matter dominated model with a varying cosmological constant. Adjusting arbitrary constants of integration one can also achieve acceleration in our model. Aside from an initial singularity our spacetime is regular everywhere including the centre of the inhomogeneous distribution. We also study the analogous homogeneous universe in (4+d) dimensions. Here an initially decelerating model is found to give late acceleration in conformity with the current observational demands. We also find that both anisotropy and number of dimensions have a role to play in determining the time of flip, in fact the flip is delayed in multidimensional models. Some astrophysical parameters like the age, luminosity distance etc are also calculated and the influence of extra dimensions is briefly discussed. Interestingly our model yields a larger age of the universe compared to many other quintessential models.

18 pages, 9 figures

References in corpus (14)

• Measurements of Omega and Lambda from 42 High-Redshift Supernovae
• A Large Mass Hierarchy from a Small Extra Dimension
• Evolution of the Scale Factor with a Variable Cosmological Term
• Measurement of stellar age from uranium decay
• Large Scale Inhomogeneity Versus Source Evolution -- Can We Distinguish Them Observationally?
• Accelerated expansion from structure formation
• The effect of inhomogeneous expansion on the supernova observations
• A study of the angular size-redshift relation for models in which $\Lambda$ decays as the energy density
• Can inhomogeneties accelerate the cosmic volume expansion?
• A Machian Model of Dark Energy
• Age of the Universe: Influence of the Inhomogeneities on the global Expansion-Factor
• Accelerating Universe as Window for Extra Dimensions
• Accelerating Universe from Extra Spatial Dimension
• A Way to the Dark Side of the Universe through Extra Dimensions

Cited by in corpus (6)

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• Inhomogeneities in dusty universe - a possible alternative to dark energy?
• Observational Constraints of Homogeneous Higher Dimensional Cosmology with Modified Chaplygin Gas
• Accelerating Universe in Higher Dimensional Space Time : an alternative approach
• Study of Tachyonic Field and its statefinder diagnostics in Various Scenarios of The Anisotropic Universe
• Energy dissipation in wave propagation in general relativistic plasma