The Cauchy problem for the Klein-Gordon equation under the quartic potential in the de Sitter spacetime

Abstract

The Cauchy problem for the Klein-Gordon equation under the quartic potential is considered in the de Sitter spacetime. The existence of the global solution is shown based on the mechanism of the spontaneous symmetry breaking for the small positive Hubble constant. The effects of the spatial expansion and contraction on the problem are considered.

References in corpus (1)

• de Sitter tachyons and related topics

Cited by in corpus (3)

• A note on blow-up results for semilinear wave equations in de Sitter and anti-de Sitter spacetimes
• On a semilinear wave equation in anti-de Sitter spacetime: the critical case
• Numerical accuracy and stability of semilinear Klein--Gordon equation in de Sitter spacetime