Kink instability and stabilization of the Friedmann universe with scalar fields

Details Kink instability and stabilization of the Friedmann universe with scalar fields Kink instability and stabilization of the Friedmann universe with scalar fields

2004-12-09

arxiv.org/abs/gr-qc/0412040v2

Phys.Lett. B607 (2005) 8-16

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

8 pages, 2 tables, accepted for publication in Physics Letters B

Scientific paper

10.1016/j.physletb.2004.12.035

The evolution of weak discontinuity is investigated in the flat FRW universe with a single scalar field and with multiple scalar fields. We consider both massless scalar fields and scalar fields with exponential potentials. Then we find that a new type of instability, i.e. kink instability develops in the flat FRW universe with massless scalar fields. The kink instability develops with scalar fields with considerably steep exponential potentials, while less steep exponential potentials do not suffer from kink instability. In particular, assisted inflation with multiple scalar fields does not suffer from kink instability. The stability of general spherically symmetric self-similar solutions is also discussed.

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