In this paper, we discuss the equation of state for
nonlinear spinor gases in the context of cosmology. The mean energy momentum
tensor is similar to that of the prefect fluid, but an additional function of
state W is introduced to describe the
nonlinear potential. The equation of state w(a)^-1 in the early
universe is calculated, which provides a natural explanation for the negative
pressure of dark matter and dark energy. W may be also the main origin of the cosmological constant L. So the nonlinear spinor gases may be a candidate
for dark matter and dark energy.
Tegmark, M., et al. (2004) Cosmological parameters from SDSS and WMAP. Physical Review D, 69, Article ID: 103501. https://doi.org/10.1103/PhysRevD.69.103501
Turner, M.S. Why Cosmologists Believe the Universe Is Accelerating. The Proceedings of Type Ia Supernovae: Theory and Cosmology, the University of Chicago, 29-31 October 1998, Cambridge, UK.
Bochner, B., Pappas, D. and Dong, M. (2015) Testing Lambda and the Limits of Cosmography with the Union2.1 Supernova Compilation. The Astronomical Journal, 814, 7. https://doi.org/10.1088/0004-637X/814/1/7
Weinberg, S. (2001) The Cosmological Constant Problems. In: Cline, D.B., Ed., Sources and Detection of Dark Matter and Dark Energy in the Universe, Springer, Berlin, Heidelberg, 18-26.
Peebles, P.J.E. and Ratra, B. (2003) The Cosmological Constant and Dark Energy. Reviews of Modern Physics, 75, 559-606. https://doi.org/10.1103/RevModPhys.75.559
Uzan, J.P. (2007) The Acceleration of the Universe and the Physics behind It. General Relativity and Gravitation, 39, 307-342. https://doi.org/10.1007/s10714-006-0385-z
Turner, M.S. and Huterer, D. (2007) Cosmic Acceleration, Dark Energy and Fundamental Physics. Journal of the Physical Society of Japan, 76, Article ID: 111015. https://doi.org/10.1143/JPSJ.76.111015
Usmani, A.A. (2008) The Dark Energy Equation of State. Monthly Notices of the Royal Astronomical Society: Letters, 386, L92-L95. https://doi.org/10.1111/j.1745-3933.2008.00468.x
Frieman, J.A., Turner, M.S. and Huterer, D. (2008) Dark Energy and the Accelerating Universe. Annual Re-view of Astronomy and Astrophysics, 46, 385-432.
Gu, Y.Q. (2007) A Cosmological Model with Dark Spinor Source. International Journal of Modern Physics A, 22, 4667-4678. https://doi.org/10.1142/S0217751X07037925
Gu, Y.Q. (2017) Some Characteristic Functions for the Eigen Solution of Nonlinear Spinor. Quantum Physics Letters, 6, 123-129. https://doi.org/10.18576/qpl/060208
Saha, B. (2016) Spinor Field with Polynomial Nonlinearity in LRS Bianchi Type-I Spacetime. Canadian Journal of Physics, 94, 116. https://doi.org/10.1139/cjp-2015-0574
Vacaru, S.I. (2015) Spinor and Twistor Geometry in Einstein Gravity and Finsler Modifications. Advances in Applied Clifford Algebras, 25, 453-483. https://doi.org/10.1007/s00006-014-0513-x