The Semiclassical Wheeler-Dewitt equation: Solutions for long wavelength fields
Feb, 199314 pages
Published in:
- Phys.Rev.D 48 (1993) 719-727
Report number:
- DAMTP-R-93-3
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Abstract: (APS)
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.- quantum gravity
- coupling: matter
- matter: coupling
- Wheeler-DeWitt equation: solution
- approximation: semiclassical
- constraint
- numerical calculations
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