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Primordial magnetic fields from gravitationally coupled electrodynamics in nonsingular bounce cosmology
Authors:JieWen Chen  ChongHuan Li  YuBin Li  Mian Zhu
Affiliation:1.CAS Key Laboratory for Researches in Galaxies and Cosmology, Department of Astronomy,University of Science and Technology of China,Hefei,China;2.School of Astronomy and Space Science,University of Science and Technology of China,Hefei,China;3.Department of Physics and Astronomy,University of Utah,Slat Lake City, Utah,USA;4.Department of Physics,The Chinese University of Hong Kong,Hong Kong,China;5.School for Gifted Young,University of Science and Technology of China,Hefei,China
Abstract:We in this paper study a class of mechanism of the production of the primordial magnetic field(PMF) in the non-singular bouncing cosmology, through the coupling of the electromagnetic field to gravity. We adopt an electrodynamic model with a coupling coefficient as a function of the scale factor a, i.e., f = 1 +(a/a?)~(-n), with a? and n 0 being constants. With analytical calculations, we find that this model can yield a blue tilted power spectrum of PMF on large scales from 1 Mpc to the Hubble length if the bounce scenario has experienced a contracting phase with an equation-of-state parameter larger than-1/3. Furthermore, in order to satisfy the constraints of observational data, the present mechanism favors the so-called ekpyrotic-bounce paradigm. The back-reaction of the energy density of PMF at the bouncing point can lead to additional theoretical constraints on the underlying bouncing paradigm.
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