Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
1998-02-12
Class.Quant.Grav. 15 (1998) 1185-1206
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
26 pages Latex (IOP) file with 2 IOP style files, to be published in Classical and Quantum Gravity (1998)
Scientific paper
10.1088/0264-9381/15/5/009
A Green's function method is developed for solving strongly-coupled gravity and matter in the semiclassical limit. In the strong-coupling limit, one assumes that Newton's constant approaches infinity. As a result, one may neglect second order spatial gradients, and each spatial point evolves like an homogeneous universe. After constructing the Green's function solution to the Hamiltonian constraint, the momentum constraint is solved using functional methods in conjunction with the superposition principle for Hamilton-Jacobi theory. Exact and approximate solutions are given for a dust field or a scalar field interacting with gravity.
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