Quantization of static inhomogeneous spacetime

Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology

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7 pages, no figure

Scientific paper

In this paper we can solve a Wheeler-DeWitt equation of the some inhomogeneous spacetime models as a local solution. From the previous study of up-to-down method we derived the static restriction relating the problem of the time. Although static restriction does not commute with the general Hamiltonian constraint, the Hamiltonian constraint of some mini-superspace models commute with static restriction. We can quantize such inhomogeneous models. With obtained result we can success to simplify the general local Hamiltonian constraint.

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