中国物理B ›› 2007, Vol. 16 ›› Issue (9): 2830-2836.doi: 10.1088/1009-1963/16/9/056

• GEOPHYSICS, ASTRONOMY, AND ASTROPHYSICS • 上一篇    

Quintessence models with an oscillating equation of state and their potentials

赵文   

  1. Department of Applied Physics, Zhejiang University of Technology, Hangzhou 310014, China
  • 收稿日期:2006-08-07 修回日期:2007-03-14 出版日期:2007-09-20 发布日期:2007-09-20

Quintessence models with an oscillating equation of state and their potentials

Zhao Wen(赵文)†   

  1. Department of Applied Physics, Zhejiang University of Technology, Hangzhou 310014, China
  • Received:2006-08-07 Revised:2007-03-14 Online:2007-09-20 Published:2007-09-20

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摘要： In this paper, we investigate the quintessence models with an oscillating equation of state (EOS) and its potentials. From the constructed potentials, which have an EOS of $\omega_{\phi}=\omega_0+\omega_1\sin z$, we find that they are all the oscillating functions of the field $\phi$, and the oscillating amplitudes decrease (or increase) with $\phi$. From the evolutive equation of the field $\phi$, we find that this is caused by the expansion of the universe. This also makes it very difficult to build a model whose EOS oscillates forever. However one can build a model with EOS oscillating for a certain period of time. Then we discuss three quintessence models, which are the combinations of the invert power law functions and the oscillating functions of the field $\phi$. We find that they all follow the oscillating EOS.

Abstract: In this paper, we investigate the quintessence models with an oscillating equation of state (EOS) and its potentials. From the constructed potentials, which have an EOS of $\omega_{\phi}=\omega_0+\omega_1\sin z$, we find that they are all the oscillating functions of the field $\phi$, and the oscillating amplitudes decrease (or increase) with $\phi$. From the evolutive equation of the field $\phi$, we find that this is caused by the expansion of the universe. This also makes it very difficult to build a model whose EOS oscillates forever. However one can build a model with EOS oscillating for a certain period of time. Then we discuss three quintessence models, which are the combinations of the invert power law functions and the oscillating functions of the field $\phi$. We find that they all follow the oscillating EOS.

Key words: quintessence, equation of state

中图分类号:  (Dark energy)

  • 95.36.+x
98.80.Cq (Particle-theory and field-theory models of the early Universe (including cosmic pancakes, cosmic strings, chaotic phenomena, inflationary universe, etc.)) 98.80.Es (Observational cosmology (including Hubble constant, distance scale, cosmological constant, early Universe, etc))