Massive vector field and initial singularity problem in a charged universe

Physics

Scientific paper

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Scientific paper

We find that a massive U (1) vector field Aμ in a charged Robertson-Walker universe for k=+1, 0, and -1 can solve the initial singularity problem even at the level of classical gravity because the energy density becomes negative as the scale factor a of the metric approaches zero. Namely, our universe might have started to expand from a finite size a0. The condition that the universe expands from a0 larger than the Planck scale gives a constraint on the charge density at t=0.

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