Thermal particle production in a contracting and expanding universe without singularity

Physics

Scientific paper

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Scientific paper

The creation of massive spin-0 particles described by the conformally coupled Klein-Gordon equation in a 3-flat Robertson-Walker universe ds2 = R2(η)(dη2 - dx2 - dy2 - dz2 with contraction-expansion law R2 = b2η2 + R20 for -∞ < η < +∞ is studied. It represents a time-symmetric universe for which the singularity is avoided. Particles are created in the out-region with a nonrelativistic thermal spectrum with temperature T = b(2πR2kB)-1 and chemical potential μ = -1/2mR20R-2. The latter implies an expotential damping for large m.

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