February 5, 2008 | Alexander Kamenshchik, Ugo Moschella, Vincent Pasquier
This paper presents a cosmological model based on Chaplygin gas, an exotic fluid with the equation of state $ p = -A/\rho $, where $ p $ is pressure, $ \rho $ is energy density, and $ A $ is a positive constant. The model is used to describe the universe's evolution from a dust-dominated phase to an exponentially expanding phase, which is consistent with current observations of cosmic acceleration. The Chaplygin gas model predicts an increasing effective cosmological constant, which could be observed in the future.
The model is based on the Friedmann equations, which describe the expansion of the universe. The energy density of the Chaplygin gas is given by $ \rho = \sqrt{A + B/a^6} $, where $ B $ is an integration constant. For small values of $ a $, the universe is dominated by dust-like matter, while for large values of $ a $, it approaches a de Sitter universe with a cosmological constant $ \sqrt{A} $.
The model also allows for exact solutions in the flat case, and it is shown that the Chaplygin gas can interpolate between different phases of the universe, from a dust-dominated universe to a de Sitter universe, passing through an intermediate phase involving a mixture of a cosmological constant and stiff matter. This evolution is described by a single fluid, making it a viable alternative to quintessence.
The paper also discusses the possibility of describing the Chaplygin cosmology using a scalar field with a potential $ V(\phi) $, leading to a simple form for the potential. The model is compared with other cosmological models, and it is noted that the Chaplygin gas provides an interesting alternative to quintessence for explaining the current acceleration of the universe. The model predicts that the effective cosmological constant will increase, which could be observed in the future. However, the model requires a fundamental reason to believe in the equation of state $ p = -A/\rho $ to be taken seriously.This paper presents a cosmological model based on Chaplygin gas, an exotic fluid with the equation of state $ p = -A/\rho $, where $ p $ is pressure, $ \rho $ is energy density, and $ A $ is a positive constant. The model is used to describe the universe's evolution from a dust-dominated phase to an exponentially expanding phase, which is consistent with current observations of cosmic acceleration. The Chaplygin gas model predicts an increasing effective cosmological constant, which could be observed in the future.
The model is based on the Friedmann equations, which describe the expansion of the universe. The energy density of the Chaplygin gas is given by $ \rho = \sqrt{A + B/a^6} $, where $ B $ is an integration constant. For small values of $ a $, the universe is dominated by dust-like matter, while for large values of $ a $, it approaches a de Sitter universe with a cosmological constant $ \sqrt{A} $.
The model also allows for exact solutions in the flat case, and it is shown that the Chaplygin gas can interpolate between different phases of the universe, from a dust-dominated universe to a de Sitter universe, passing through an intermediate phase involving a mixture of a cosmological constant and stiff matter. This evolution is described by a single fluid, making it a viable alternative to quintessence.
The paper also discusses the possibility of describing the Chaplygin cosmology using a scalar field with a potential $ V(\phi) $, leading to a simple form for the potential. The model is compared with other cosmological models, and it is noted that the Chaplygin gas provides an interesting alternative to quintessence for explaining the current acceleration of the universe. The model predicts that the effective cosmological constant will increase, which could be observed in the future. However, the model requires a fundamental reason to believe in the equation of state $ p = -A/\rho $ to be taken seriously.