Physics
Scientific paper
Feb 1978
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1978phrvd..17..933h&link_type=abstract
Physical Review D - Particles and Fields, 3rd Series, vol. 17, Feb. 15, 1978, p. 933-945.
Physics
134
Anisotropy, Cosmology, Einstein Equations, Gravitational Fields, Quantum Theory, Universe, Boundary Conditions, Boundary Value Problems, Damping, Field Theory (Physics), Numerical Integration, Theoretical Physics
Scientific paper
A quantized field in a Bianchi type I anisotropically expanding universe is considered. A suitable expectation value of the renormalized energy-momentum 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 where the quantized field is the massless conformal scalar field. Boundary conditions are imposed at an initial time 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 radiation-filled Friedmann expansion in an interval of less than 1000 Planck times, for the full range of initial expansion rates considered.
Hu Liang-Bin
Parker Lucas
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