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Multifluid models for cyclic cosmology. (English. Russian original) Zbl 1179.83074
Proc. Steklov Inst. Math. 265, 59-62 (2009); translation from Tr. Mat. Inst. Steklova 265, 66-69 (2009).
Summary: Inspired by the Landau two-fluid model of superfluidity, we consider a similar multifluid description for cosmology where two normal fluids occur for matter and radiation, respectively. For cyclic cosmology, two dark energy superfluid components turn out to be insufficient but three superfluids can lead to a sensible five-fluid model which in a certain limit becomes indistinguishable from a brane-world cyclic model proposed earlier. Distinguishing more general five-fluid models from brane-world models for cyclic cosmology could be feasible with more accurate observational data.

83F05 Cosmology
83C55 Macroscopic interaction of the gravitational field with matter (hydrodynamics, etc.)
Full Text: DOI
[1] Y. Nambu, ”Axial Vector Current Conservation in Weak Interactions,” Phys. Rev. Lett. 4, 380–382 (1960). · doi:10.1103/PhysRevLett.4.380
[2] J. Bardeen, L. N. Cooper, and J. R. Schrieffer, ”Theory of Superconductivity,” Phys. Rev. 108, 1175–1204 (1957). · Zbl 0090.45401 · doi:10.1103/PhysRev.108.1175
[3] N. N. Bogoliubov, ”On the Theory of Superfluidity,” Izv. Akad. Nauk SSSR, Ser. Fiz. 11, 77–90 (1947) [J. Phys. (USSR) 11, 23–32 (1947)].
[4] N. N. Bogoliubov, V. V. Tolmachev, and D. V. Shirkov, A New Method in the Theory of Superconductivity (Akad. Nauk SSSR, Moscow, 1958; Consultants Bureau, New York, 1959). · Zbl 0083.45405
[5] L. Baum and P. H. Frampton, ”Turnaround in Cyclic Cosmology,” Phys. Rev. Lett. 98(7), 071301 (2007); arXiv: hep-th/0610213. · Zbl 1228.83117
[6] P. H. Frampton, ”Cyclic Universe and Infinite Past,” Mod. Phys. Lett. A 22, 2587–2592 (2007); arXiv: 0705.2730. · Zbl 1140.83407 · doi:10.1142/S0217732307025698
[7] L. Baum and P. H. Frampton, ”Entropy of Contracting Universe in Cyclic Cosmology,” Mod. Phys. Lett. A 23, 33–36 (2008); arXiv: hep-th/0703162. · doi:10.1142/S0217732308026170
[8] L. D. Landau, ”The Theory of Superfluidity of Helium II,” Zh. Eksp. Teor. Fiz. 11, 592–614 (1941) [J. Phys. (USSR) 5, 71–90 (1941)]. · Zbl 0027.18505
[9] J. Bardeen, ”Two-Fluid Model of Superconductivity,” Phys. Rev. Lett. 1, 399–400 (1958). · doi:10.1103/PhysRevLett.1.399
[10] S. Nojiri and S. D. Odintsov, ”The Oscillating Dark Energy: Future Singularity and Coincidence Problem,” Phys. Lett. B 637, 139–148 (2006); arXiv: hep-th/0603062. · doi:10.1016/j.physletb.2006.04.026
[11] S. Nojiri and S. D. Odintsov, ”The New Form of the Equation of State for Dark Energy Fluid and Accelerating Universe,” Phys. Lett. B 639, 144–150 (2006); arXiv: hep-th/0606025. · doi:10.1016/j.physletb.2006.06.065
[12] D. N. Spergel et al., ”Three-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Implications for Cosmology,” Astrophys. J., Suppl. Ser. 170, 377–408 (2007); arXiv: astro-ph/0603449. · doi:10.1086/513700
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