Curvature-driven acceleration: a utopia or a reality?

Das, Sudipta; Banerjee, Narayan; Dadhich, Naresh

doi:10.1088/0264-9381/23/12/012

Cited by 65 publications

(50 citation statements)

References 33 publications

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“…It is evident from the the generalised field equations(5-6) that the expressions between the curly brackets for ρ and p are similar to the analogous 4D FRW equations. Therefore the 4D energy density ρ 4 and the pressure P may be identified with the quantities (ρ−ρ 0 ) and (p−p 0 ) where ρ 0 and p 0 respectively denote the terms containing the higher dimensional coefficients in equations (5)(6). This, according to Mohammedi, is the usual and standard interpretation of higher dimensional equations of motion.…”

Section: Mohammedi's Workmentioning

confidence: 99%

Accelerating Universe as Window for Extra Dimensions

Panigrahi

Chatterjee

Zhang

2006

Int. J. Mod. Phys. A

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Homogeneous cosmological solutions are obtained in five dimensional space time assuming equations of state p = kρ and p 1 = γρ where p is the isotropic 3 -pressure and p 1 , that for the fifth dimension. Using different values for the constants k and γ 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 also extend a recent work of Mohammedi where using a special form of the extra dimensional scale factor a new interpretation of the higher dimensional equations of motion is given and the concept of an effective four dimensional pressure is introduced. Interestingly the 5D matter field remains regular while the 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. Relevant 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. Depending on the relative magnitude of the different constants appearing in our solutions we show that some of the cases are amenable to the desirable property of dimensional reduction.

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Section: Mohammedi's Workmentioning

confidence: 99%

Accelerating Universe as Window for Extra Dimensions

Panigrahi

Chatterjee

Zhang

2006

Int. J. Mod. Phys. A

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“…Das, Banerjee and Dadhich (Das, Banerjee and Dadhich 2006) indeed discussed models that show such a smooth transition analytically, but the models do not contain matter. However, it has been shown that, along with a matter field, any such model could behave in quite a different manner Amendola, Gannouji, Polarski and Tsujikawa 2007).…”

Section: Introductionmentioning

confidence: 99%

Acceleration of the universe in f(R) gravity models

Mukherjee

Banerjee

2014

Astrophys Space Sci

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“…Obviously the other option is to look for the modification of GR which allows the cosmic acceleration without introducing any exotic component. Scalar-tensor theories (Bertolami & Martins 2000;Banerjee & Paovn 2001a,b;Sen & Sen 2001;Mota & Barrow 2004a,b;Das & Banerjee 2008), f (R) gravity theory (Capozziello et al 2003;Carroll et al 2004;Vollick 2003;Nojiri & Odintsov 2003;Carroll et al 2005;Mena et al 2006;Nojiri & Odintsov 2006;Das et al 2006;Nojiri & Odintsov 2007a,b, 2009), different higher dimensional gravity theories (Deffayet et al 2002 Though different theoretical approaches are there to explain the phenomenon of cosmic acceleration, till now none of them is definitely known as the appropriate one. The present trend of modelling of late time cosmic acceleration is called reconstruction where the model is built up by taking the observational data directly into account.…”

Section: Introductionmentioning

confidence: 99%

Acceleration of the universe: a reconstruction of the effective equation of state

Mukherjee

2016

Mon. Not. R. Astron. Soc.

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The present work is based upon a parametric reconstruction of the effective or total equation of state in a model for the universe with accelerated expansion. The constraints on the model parameters are obtained by maximum likelihood analysis using the supernova distance modulus data, observational Hubble data, baryon acoustic oscillation data and cosmic microwave background shift parameter data. For statistical comparison, the same analysis has also been carried out for the wCDM dark energy model. Different model selection criteria (Akaike information criterion (AIC)) and (Bayesian Information Criterion (BIC)) give the clear indication that the reconstructed model is well consistent with the wCDM model. Then both the models (w ef f (z) model and wCDM model) have also been presented through (q 0 ,j 0 ) parameter space. Tighter constraint on the present values of dark energy equation of state parameter (w DE (z = 0)) and cosmological jerk (j 0 ) have been achieved for the reconstructed model.

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Curvature-driven acceleration: a utopia or a reality?

Cited by 65 publications

References 33 publications

Accelerating Universe as Window for Extra Dimensions

Accelerating Universe as Window for Extra Dimensions

Acceleration of the universe in f(R) gravity models

Acceleration of the universe: a reconstruction of the effective equation of state

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