A nonlinear scalar field theory in isotropic homogeneous space–time

Abstract

A classical nonlinear scalar field theory in isotropic homogeneous space–time of uniform negative curvature is considered which admits a singularity-free spatially localized dynamically unstable solution. The associated field energy is obtained as a finite positive quantity only for suitably restricted values of a ’’size parameter’’ which measures the degree of spatial localization of the solution. The static flat space–time limit of the present field theory as well as a physically appropriate limitation on the magnitude of the field energy are discussed.