Nonlinear classical scalar field theory in curved space-time

Abstract

A generic Lagrangian based classical field theory is formulated for any space-time manifold in which certain postulated conditions remain valid. The choice of a specific field Lagrangian leads to a nonlinear model theory that admits a rigorous closed-form particlelike solution in isotropic homogeneous space-time of positive spatial curvature. This metastable solution, of finite positive energy, is discussed in relation to its counterpart in isotropic homogeneous space-time of negative spatial curvature.