2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/35448A chaotic model of the early universe within the framework of the singularity-free solutions of Einstein's equation is suggested. The evolution of our universe at its early stage, starting out as a small domain of the parent universe, is governed by the dynamics of a classical scalar field $ϕ$ . If in any such domain, larger than Planck length,$\dot ϕ$ happens to be very large,$ϕ$ may develop a dominant inhomogeneous mode,leading to an anisotropic inflation of the universe. The particle $ϕ$ is coupled to other particles, which are produced copiously after inflation and these thermalize leading to a rather low temperature universe $(T \geq 10^{4} $ Gev). The electroweak B+L Baryogenesis is assumed to account for the observed baryon asymmetry. The universe now passes through a radiation-dominated phase, leading eventually to a matter-dominated universe, which is isotropic and homogeneous. The model does not depend on the details of Planck scale physics.12pages, Normal TexGeneral Relativity and Quantum Cosmologytext