2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/213398The one-loop effective potential for $ϕ^4$ theory on a Bianchi type-I universe is evaluated in the adiabatic approximation. It is used to see the quantum-field effects on symmetry breaking and restoration in anisotropic spacetimes. The results show that the fate of symmetry will not be changed in the cases of conformal coupling or a vanishing scale curvature, and only for some suitable values of scalar-gravitational coupling could the symmetry be radiatively broken or restored.General Relativity and Quantum CosmologyHigh Energy Physics - Theorytext