Quantum singularity of Levi-Civita spacetimes

Details Quantum singularity of Levi-Civita spacetimes Quantum singularity of Levi-Civita spacetimes

2004-01-04

arxiv.org/abs/gr-qc/0401009v1

Class.Quant.Grav. 21 (2004) 265-272

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

Scientific paper

10.1088/0264-9381/21/1/018

Quantum singularities in general relativistic spacetimes are determined by the behavior of quantum test particles. A static spacetime is quantum mechanically singular if the spatial portion of the wave operator is not essentially self-adjoint. Here Weyl's limit point-limit circle criterion is used to determine whether a wave operator is essentially self-adjoint. This test is then applied to scalar wave packets in Levi-Civita spacetimes to help elucidate the physical properties of the spacetimes in terms of their metric parameters.

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