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On Viscous Generalized Chapyglin Gases in Non-flat Universes

机译:非平坦宇宙中的粘性广义卓比林气体

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摘要

The density dependence on cosmic time of viscous cosmological fluids which obey a generalized Chapyglin gas equation of state in four-dimensional space-time within the cosmological Friedmann-Robertson-Walker (FRW) model is obtained analytically for scale factors that depend on the cosmic time in either a power, exponential or mixed exponential-power fashion. It is shown that, depending on the power of the density that appears in the generalized Chapyglin gas equation of state, the scale factor and the viscosity coefficient, the density may decrease in either a monomial or an exponential manner with time and may exhibit either integrable or non-integrable singularities. The parameters that characterize the scale factor and equation of state are determined from available experimental data for the Hubble, deceleration, jerk and state-finder parameters. It is shown that an exponential scale factor is not consistent with currently available experimental data for the deceleration and jerk parameters, and that the poorly constrained observational data for these parameters result in broad ranges for the coefficients that appear in the power-law and quasi-exponential scale factors. It is also shown that, although the power-law and quasi-exponential scale factors may be selected so as to provide results compatible with experimental observations at the present time, their predictions may be dramatically different in the near distant or future times.
机译:通过解析获得了宇宙时间弗里德曼-罗伯逊-沃克(FRW)模型中的二维时空中服从广义Chapyglin状态方程的粘性宇宙流体对宇宙时间的密度依赖性以幂,指数或混合幂的方式。结果表明,根据一般的卓比林气体状态方程,比例因子和粘度系数中出现的密度的幂,密度可以随时间以单项或指数方式降低,并且可以表现出可积分性。或不可积分的奇点可从哈勃(Hubble),减速度,加速度率和状态查找器参数的可用实验数据中确定表征比例因子和状态方程的参数。结果表明,指数比例因子与当前的减速度和加速度率参数实验数据不一致,并且这些参数的观测数据约束较弱,导致出现在幂律和准方程中的系数范围很广。指数比例因子。还表明,尽管可以选择幂律和准指数比例因子,以提供与当前实验观察结果兼容的结果,但它们的预测在不久的将来或将来可能会发生巨大变化。

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