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arXiv · gr-qc/9509038

Singularities in a Scalar Field Quantum Cosmology

Nivaldo A. Lemos
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Abstract

The quantum theory of a spatially flat Friedmann-Robertson-Walker universe with a massless scalar field as source is further investigated. The classical model is singular, and in the framework of the Arnowitt-Deser-Misner canonical quantization formalism a discussion is made of the cosmic evolution, particularly of the quantum gravitational collapse problem. It is shown that in a matter-time gauge such that time is identified with the scalar field the classical model is singular either at $t=-\infty$ or at $t=+\infty$, but the quantum model is nonsingular. The latter behavior disproves a conjecture according to which quantum cosmological singularities are predetermined on the classical level by the choice of time.

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Nivaldo A. Lemos. 1995-09-21. Singularities in a Scalar Field Quantum Cosmology. https://doi.org/10.1103/physrevd.53.4275

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