Blowing-up solutions of Klein-Gordon equations with gauge variant semilinear terms in Friedmann-Lema\'itre-Robertson-Walker spacetimes under finite speed of propagation

TL;DR

This paper investigates the blow-up behavior of Klein-Gordon equations with gauge-variant nonlinearities in cosmological spacetimes, analyzing how spatial expansion or contraction influences solution dynamics.

Contribution

It introduces a study of blow-up solutions for Klein-Gordon equations with gauge-variant terms in FLRW spacetimes, highlighting the effects of spacetime expansion or contraction.

Findings

Effects of spatial expansion on blow-up solutions analyzed

Influence of curved mass on solution behavior examined

Conditions for blow-up in different spacetime regimes identified

Abstract

Blowing-up solutions of Klein-Gordon equations with gauge variant semilinear terms are considered in Friedmann-Lema\'itre-Robertson-Walker spacetimes. Effects of spatial expansion or contraction on the solutions are studied through the scale-function and the curved mass.