Semiclassical Wheeler-DeWitt equation: Solutions for long-wavelength fields

Details Semiclassical Wheeler-DeWitt equation: Solutions for long-wavelength fields Semiclassical Wheeler-DeWitt equation: Solutions for long-wavelength fields

Jul 1993

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1993phrvd..48..719s&link_type=abstract

Physical Review D (Particles, Fields, Gravitation, and Cosmology), Volume 48, Issue 2, 15 July 1993, pp.719-727

Physics

14

Scientific paper

In the long-wavelength approximation, a general set of semiclassical wave functionals is given for gravity and matter interacting in 3+1 dimensions. In the long-wavelength theory, one neglects second-order spatial gradients in the energy constraint. These solutions satisfy the Hamilton-Jacobi equation, the momentum constraint, and the equation of continuity. It is essential to introduce inhomogeneities to discuss the role of time. The time hypersurface is chosen to be a homogeneous field in the wave functional. It is shown how to introduce tracer particles through a dust field χ into the dynamical system. The formalism can be used to describe stochastic inflation.

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