Dynamics of Interacting Generalized Cosmic Chaplygin gas in Brane-world scenario
arXiv:1206.1767 · doi:10.1007/s10509-012-1198-z
Abstract
In this work we explore the background dynamics when dark energy is coupled to dark matter with a suitable interaction in the universe described by brane cosmology. Here DGP and the RSII brane models have been considered separately. Dark energy in the form of Generalized Cosmic Chaplygin gas is considered. A suitable interaction between dark energy and dark matter is considered in order to at least alleviate (if not solve) the cosmic coincidence problem. The dynamical system of equations is solved numerically and a stable scaling solution is obtained. A significant attempt towards the solution of the cosmic coincidence problem is taken. The statefinder parameters are also calculated to classify the dark energy models. Graphs and phase diagrams are drawn to study the variations of these parameters. It is also seen that the background dynamics of Generalized Cosmic Chaplygin gas is consistent with the late cosmic acceleration, but not without satisfying certain conditions. It has been shown that the universe in both the models follows the power law form of expansion around the critical point, which is consistent with the known results. Future singularities were studied and our models were declared totally free from any types of such singularities. Finally, some cosmographic parameters were also briefly studied. Our investigation led to the fact that although GCCG with a far lesser negative pressure compared to other DE models, can overcome the relatively weaker gravity of RS II brane, with the help of the negative brane tension, yet for the DGP brane model with much higher gravitation, the incompetency of GCCG is exposed, and it cannot produce the accelerating scenario until it reaches the phantom era.
34 pages, 30 figures. arXiv admin note: substantial text overlap with arXiv:1204.3531, arXiv:1109.1481, arXiv:1109.3578
References in corpus (12)
- Unified cosmic history in modified gravity: from F(R) theory to Lorentz non-invariant models
- Interacting holographic dark energy model in non-flat universe
- Interacting Holographic Phantom
- Observational constraints on the dark energy and dark matter mutual coupling
- Variable Modified Chaplygin Gas and Accelerating Universe
- Statefinder diagnostic and stability of modified gravity consistent with holographic and new agegraphic dark energy
- Notes on dark energy interacting with dark matter and unparticle in loop quantum cosmology
- Chaplygin DGP cosmologies
- Interacting modified Chaplygin gas in loop quantum cosmology
- Variable G correction to statefinder parameters of dark energy
- Dynamics of Modified Chaplygin Gas in Brane World Scenario: Phase Plane Analysis
- Statefinder Parameter for Varying G in Three Fluid System
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- Role Of Generalized Cosmic Chaplygin Gas In Accelerating Universe : A Field Theoretical Prescription
- Interacting Agegraphic Dark Energy Model in DGP Braneworld Cosmology: Dynamical System Approach
- Gravitational Collapse With Dark Energy And Dark Matter In Hořava-Lifshitz Gravity
- Ricci-cubic holographic dark energy
- How effective is new variable modified Chaplygin gas to play the role of dark energy- A dynamical system analysis in RS II Brane model
- Born-Infeld Thin-shell Wormholes Supported by Generalized Cosmic Chaplygin Gas
- Ricci-Cubic Holographic Dark Energy: Confronting Observations, Stability and the Cosmic Coincidence Problem