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物理学报. 2008, 57(12): 7955-7962.
doi: 10.7498/aps.57.7955.
非奇异宇宙的理想气体自相似模型
- 收稿日期: 2008-02-14
- 修回日期: 2008-09-09
- 刊出日期: 2008-12-20
English Abstract
Self-similarity model of nonsingular perfect gas universe
- Received Date:
14 February 2008
- Accepted Date:
09 September 2008
- Published Online:
20 December 2008
Abstract: The present paper investigates the dimensionless dynamical continuity equation of perfect gas motion in gravitational field. Based on Π axiom of dimensional theory， self-similarity of perfect gas universe with gravity and a series of exact solutions of R(t) are deduced. Based on R(t)，a non-Euclidean homogeneous space-time coordinate system S(t,ξ，θ，φ) can be established. A perfect gas universe solution can be worked out， in which there is a constant density ρ， the velocity u value being zero， and there is a nonzero pressure p. In this solution， the red shift z represents the propagating distance r. When z is much less than 1， it is proportional to r (Hubbles law). The Robertson-Walker (k=-1) metric of normal universe model is obtained from homogeneous expanding coordinates， and the ratio of expanding rate HF to the Hubble constant H0 decreases notably as the value of z rises. It corresponds to the “universal accelerated expansion” observed in the spectrum of a high-red-shift supernova.
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Keywords:
- universe /
- self-similar /
- Hubbleslaw
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