The global existence of small self-interacting scalar field propagating in the contracting universe

Abstract

We present a condition on the self-interaction term that guaranties the existence of the global in time solution of the Cauchy problem for the semilinear Klein-Gordon equation in the Friedmann-Lama$\hat{i}$tre-Robertson-Walker model of the contracting universe. For the Klein-Gordon equation with the Higgs potential we give a lower estimate for the lifespan of solution.

arXiv admin note: text overlap with arXiv:1706.07703

References in corpus (4)

• Fundamental Solutions for the Klein-Gordon Equation in de Sitter Spacetime
• de Sitter tachyons and related topics
• Global existence of the self-interacting scalar field in the de Sitter universe
• A classification for wave models with time-dependent mass and speed of propagation

Cited by in corpus (2)

• The Cauchy problem for the Klein-Gordon equation under the quartic potential in the de Sitter spacetime
• On a semilinear wave equation in anti-de Sitter spacetime: the critical case