NDLI: Dynamical system analysis of interacting variable modified Chaplygin gas model in FRW universe

Content Provider	Springer Nature Link
Author	Bhadra, J. Debnath, U.
Copyright Year	2012
Abstract	In this work, we have considered the interacting dynamical model taking the variable modified Chaplygin gas (VMCG) which plays as dark energy coupled to cold dark matter in the flat FRW universe. For the VMCG equation of state, we have chosen B(a) = B $_{0}$ a $^{−n }$. Since the nature of dark energy and dark matter is still unknown, it is possible to have an interaction between them and phenomenologically we choose the interaction term Q = 3cH ρ, where c is the coupling parameter. We have converted all the equations in the dynamical system of equations by considering the dimensionless parameters and seen the evolution of the corresponding autonomous system. The feasible critical point has been found and for the stability of the dynamical system about the critical point, we linearize the governing equation around the critical point. We found that there exists a stable scaling (attractor) solution at late times of the Universe and found some physical range of n and the interaction parameter c. We have shown that for our calculated physical range of the parameters, the Universe explores upto quintessence stage. The deceleration parameter, statefinder parameters, Hubble parameter and the scale factor have been calculated around the critical point. Finally, some consequences around the critical point, i.e., the distance measurement of the Universe like lookback time, luminosity distance, proper distance, angular diameter distance, comoving volume, distance modulus and probability of intersecting objects have been analyzed before and after the present age of the Universe.
Starting Page	1
Ending Page	15
Page Count	15
File Format	PDF
Journal	The European Physical Journal Plus
Volume Number	127
Issue Number	3
e-ISSN	21905444
Language	English
Publisher	Springer Berlin Heidelberg
Publisher Date	2012-03-14
Publisher Place	Berlin, Heidelberg
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Applied and Technical Physics Theoretical, Mathematical and Computational Physics Statistical Physics, Dynamical Systems and Complexity Condensed Matter Physics Atomic, Molecular, Optical and Plasma Physics
Content Type	Text
Resource Type	Article

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4	Project PI / Joint PI	Principal Investigator and Joint Principal Investigators of the project	Dr. B. Sutradhar bsutra@ndl.gov.in Prof. Saswat Chakrabarti will be added soon
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