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.
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