Anisotropy damping through quantum effects in the early universe
Abstract
We consider a quantized field in a Bianchi typeI anisotropically expanding universe. A suitable expectation value of the renormalized energymomentum tensor acts as the source of the metric in the Einstein equations. The coupled set of differential equations is numerically integrated, with the help of several approximations, in the case when the quantized field is the massless conformal scalar field. Boundary conditions are imposed at an initial time t_{0} of the order of the Planck time, with the initial expansion rates varying over a wide range consistent with the constraints. It is found that the expansion rates tend toward isotropy and approach a radiationfilled Friedmann expansion in an interval of less than 10^{3} Planck times, for the full range of initial expansion rates considered.
 Publication:

Physical Review D
 Pub Date:
 February 1978
 DOI:
 10.1103/PhysRevD.17.933
 Bibcode:
 1978PhRvD..17..933H
 Keywords:

 Anisotropy;
 Cosmology;
 Einstein Equations;
 Gravitational Fields;
 Quantum Theory;
 Universe;
 Boundary Conditions;
 Boundary Value Problems;
 Damping;
 Field Theory (Physics);
 Numerical Integration;
 Theoretical Physics;
 Astrophysics