Nonexistence of global weak solutions of Klein-Gordon equations with gauge variant semilinear terms in Friedmann-Lema\^itre-Robertson-Walker spacetimes

TL;DR

This paper investigates the nonexistence of global weak solutions to Klein-Gordon equations with gauge-variant nonlinearities in Friedmann-Lemaître-Robertson-Walker spacetimes, highlighting the impact of cosmic expansion or contraction.

Contribution

It provides new nonexistence results for Klein-Gordon equations with gauge-variant terms in cosmological spacetimes, considering effects of the scale function and curved mass.

Findings

Global weak solutions do not exist under certain conditions.

Spatial expansion or contraction influences solution behavior.

Results depend on the scale function and curved mass.

Abstract

Nonexistence of global weak 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.